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Chaos
Terms modified by Chaos Selected AbstractsCHAOS THEORYAS A NEW PARADIGM IN PSYCHOANALYSIS: A CONTRIBUTION TO THE DISCUSSION OF MODELSTHE INTERNATIONAL JOURNAL OF PSYCHOANALYSIS, Issue 2 2002Warren R. Procci First page of article [source] Modelling Product Innovation Processes, from Linear Logic to Circular ChaosCREATIVITY AND INNOVATION MANAGEMENT, Issue 2 2003Jan Buijs Product innovation is the focal point of the Delft Design School in the Netherlands. During its more than thirty years of existence different models of the product innovation process were and are used for education and for research. This paper will describe the development of these models. The first models tried to describe the product innovation process in a logical linear order, but recently this logical order has come under discussion. The most recent models try to show the more chaotic character of the product innovation processes in real corporate life. Although this chaotic model better reflects the product innovation practice, for educational purposes it seems to be less useful than the original logical ones. For our teaching we propose the two versions (logic and chaos) of our innovation model as two sides of one coin. This innovation coin is without proper value with one side left blank. [source] Hall effects for MHD Oldroyd 6-constant fluid flows using finite element methodINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Issue 4 2009M. Sajid Abstract This paper numerically investigates the influence of Hall current on the steady flows of an Oldroyd 6-constant fluid between concentric cylinders. The flow analysis has been performed by employing finite element method. Two flow problems are considered. These problems have been recently solved by Rana et al. (Chaos, Solitons and Fractals, in press). Here the main equation governing the flow problems in (Chaos, Solitons and Fractals, in press) is corrected first and then used in the simulation. Finally, the interesting observations are obtained by plotting graphs. Copyright © 2008 John Wiley & Sons, Ltd. [source] MOS-integrable circuitry for multi-scroll chaotic grid realization: A SPICE-assisted proofINTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, Issue 3 2009Gaurav Gandhi Abstract A MOS-integrable circuit realization of the class of Multi-Scroll Grid attractor using an implementation of nonlinear transconductor is presented. The design can be seen as the MOS-integrable circuit implementation of modified jerk equations presented in the literature (Int. J. Bifurcat. Chaos 2002; 12(1):23,41). The proposed design of Multi-Scroll Grid attractor is adequately supported by SPICE simulation results. Copyright © 2008 John Wiley & Sons, Ltd. [source] Conduct problems, IQ, and household chaos: a longitudinal multi-informant studyTHE JOURNAL OF CHILD PSYCHOLOGY AND PSYCHIATRY AND ALLIED DISCIPLINES, Issue 10 2009Kirby Deater-Deckard Background:, We tested the hypothesis that household chaos would be associated with lower child IQ and more child conduct problems concurrently and longitudinally over two years while controlling for housing conditions, parent education/IQ, literacy environment, parental warmth/negativity, and stressful events. Methods:, The sample included 302 families with same-sex twins (58% female) in Kindergarten/1st grade at the first assessment. Parents' and observers' ratings were gathered, with some collected over a two-year period. Results:, Chaos varied widely. There was substantial mother,father agreement and longitudinal stability. Chaos covaried with poorer housing conditions, lower parental education/IQ, poorer home literacy environment, higher stress, higher negativity and lower warmth. Chaos statistically predicted lower IQ and more conduct problems, beyond the effects of other home environment factors. Conclusions:, Even with other home environment factors controlled, higher levels of chaos were linked concurrently with lower child IQ, and concurrently and longitudinally with more child conduct problems. Parent self-reported chaos represents an important aspect of housing and family functioning, with respect to children's cognitive and behavioral functioning. [source] The Classmates: Privilege, Chaos, and the End of an EraTHE JOURNAL OF POPULAR CULTURE, Issue 1 2009Margaret C. Wiley No abstract is available for this article. [source] Application of Chaos in Chemical Process OptimizationASIA-PACIFIC JOURNAL OF CHEMICAL ENGINEERING, Issue 1-2 2001Luo Chenzhong Chaos has initial condition sensitivity, intrinsic irregular property and ergodicity, so it was applied to optimization problems. Two new methods were proposed for this kind of application: chaos search method combined with exact non-differentiable penalty function for nonlinear constraint optimization, and chaos mutation operator for real-coded evolutionary algoriths. Both are simple and easy to implement. Simulation with a chemical process optimization problem shows that the proposed methods are effective and reliable. [source] Nonlinearity and Chaos in Molecular Vibrations.CHEMPHYSCHEM, Issue 4 2007By Guozhen Wu. No abstract is available for this article. [source] Chaos meets quantum mechanics: Possible nonlinear vindication of Einstein's arguments: Paradoxes of the Copenhagen Interpretation: Nonlinear Parallels,COMPLEXITY, Issue 4 2007Wm. C. McHarris First page of article [source] ,Order Out of Chaos': The Politics of Transitional JusticePOLITICS, Issue 3 2009Cillian McGrattan This article critically assesses the application of the ,transitional justice' model of conflict transformation in Northern Ireland. The model addresses a number of important issues for societies emerging from violent conflict, including victims' rights and dealing with the past. This article claims that the model is founded upon highly contentious political assumptions that give rise to a problematic framing of the issues involved. The underlying implication is that by eschewing basic political analysis in favour of unexamined ideals concerning conflict transformation, the TJ approach belies its commitment to truth recovery, victims' rights and democratic accountability. [source] Modelling Product Innovation Processes, from Linear Logic to Circular ChaosCREATIVITY AND INNOVATION MANAGEMENT, Issue 2 2003Jan Buijs Product innovation is the focal point of the Delft Design School in the Netherlands. During its more than thirty years of existence different models of the product innovation process were and are used for education and for research. This paper will describe the development of these models. The first models tried to describe the product innovation process in a logical linear order, but recently this logical order has come under discussion. The most recent models try to show the more chaotic character of the product innovation processes in real corporate life. Although this chaotic model better reflects the product innovation practice, for educational purposes it seems to be less useful than the original logical ones. For our teaching we propose the two versions (logic and chaos) of our innovation model as two sides of one coin. This innovation coin is without proper value with one side left blank. [source] Linear and nonlinear measures of blood pressure variability: Increased chaos of blood pressure time series in patients with panic disorderDEPRESSION AND ANXIETY, Issue 2 2004Vikram K. Yeragani M.B.B.S. Abstract Arterial blood pressure (BP) variability increases progressively with the development of hypertension and an increase in BP variability is associated with end organ damage and cardiovascular morbidity. On the other hand, a decrease in heart rate (HR) variability is associated with significant cardiovascular mortality. There is a strong association between cardiovascular mortality and anxiety. Several previous studies have shown decreased HR variability in patients with anxiety. In this study, we investigated beat-to-beat variability of systolic and diastolic BP (SBP and DBP) in normal controls and patients with panic disorder during normal breathing and controlled breathing at 12, and 20 breaths per minute using linear as well as nonlinear techniques. Finger BP signal was obtained noninvasively using Finapres. Standing SBPvi and DBP BPvi (log value of BP variance corrected for mean BP divided by HR variance corrected for mean HR) were significantly higher in patients compared to controls. Largest Lyapunov exponent (LLE) of SBP and DBP, a measure of chaos, was significantly higher in patients in supine as well as standing postures. The ratios of LLE (SBP/HR) and LLE (DBP/HR) were also significantly higher (P < .001) in patients compared to controls. These findings further suggest dissociation between HR and BP variability and a possible relative increase in sympathetic function in anxiety. This increase in BP variability may partly explain the increase in cardiovascular mortality in this group of patients. Depression and Anxiety 19:85-95, 2004. © 2004 Wiley-Liss, Inc. [source] Birthweight-discordance and differences in early parenting relate to monozygotic twin differences in behaviour problems and academic achievement at age 7DEVELOPMENTAL SCIENCE, Issue 2 2006Kathryn Asbury This longitudinal monozygotic (MZ) twin differences study explored associations between birthweight and early family environment and teacher-rated behaviour problems and academic achievement at age 7. MZ differences in anxiety, hyperactivity, conduct problems, peer problems and academic achievement correlated significantly with MZ differences in birthweight and early family environment, showing effect sizes of up to 2%. As predicted by earlier research, associations increased at the extremes of discordance, even in a longitudinal, cross-rater design, with effect sizes reaching as high as 12%. As with previous research some of these nonshared environmental (NSE) relationships appeared to operate partly as a function of SES, family chaos and maternal depression. Higher-risk families generally showed stronger negative associations. [source] Complexity and the Culture of CurriculumEDUCATIONAL PHILOSOPHY AND THEORY, Issue 1 2008William E. Doll Abstract This paper has two main foci: (1) the history of curriculum design, and (2) implications from the new sciences of chaos and complexity for the development of new forms of curriculum design and teaching implementation. Regarding the first focus, the paper posits that there exist,to use Wittgenstein's phrase,,family resemblances' between Peter Ramus' 16th century curriculum design and that of Ralph Tyler in the 20th century. While this 400-year linkage is by no means linear, there are overlapping strands from Ramus to Comenius to the Puritans to colonial New England to Horace Mann to Ralph Tyler. What unites these strands, all belonging to the Protestant Methodization movement that swept across northern Europe into colonial America and the USA, is the concept of Method. Taylor's ,time and motion' studies set the stage for Tyler's Basic Principles of curriculum design,those starting with set goals and concluding with measured assessment. The second focus draws on the new sciences of chaos and complexity to develop a different sense of curriculum and instruction,open, dynamic, relational, creative, and systems oriented. The paper concludes with an integration of the rational/scientific with the aesthetic/spiritual into a view of education and curriculum informed by complexity. [source] Diversity of the Vocal Signals of Concave-Eared Torrent Frogs (Odorrana tormota): Evidence for Individual SignaturesETHOLOGY, Issue 11 2009Albert S. Feng Male concave-eared torrent frogs (Odorrana tormota) have an unusually large call repertoire and have been shown to communicate ultrasonically. We investigated the individual specificity of male advertisement calls in order to explore the acoustic bases of individual recognition, which was demonstrated in an accompanying study. Vocalizations of 15 marked males were recorded in the field. A quantitative analysis of the signals revealed eight basic call-types. Two of them (the single- and multi-note long-calls) were investigated in more detail. Long-calls were characterized by pronounced and varying frequency modulation patterns, and abundant occurrence of nonlinear phenomena (NLP), i.e., frequency jumps, subharmonics, biphonations and deterministic chaos. The occurrence of NLP was predictable from the contour of the fundamental frequency in the harmonic segment preceding the onset of the NLP, and this prediction showed individual-specific patterns. Fifteen acoustic variables of the long calls were measured, all of which were significantly different among individuals, except biphonic segment duration. Discriminant function analysis (DFA) showed that 54.6% of the calls could be correctly assigned to individual frogs. The correct classification was above chance level, suggesting that individual specificity of calls underlie the ability of males to behaviorally discriminate the vocal signals of their neighbors from those of strangers, a remarkable feat for a frog species with a diverse vocal repertoire. The DFA classification results were lower than those for other anurans, however. We hypothesize that there is a tradeoff between an increase in the fundamental frequency of vocalizations to avoid masking by low-frequency ambient background noise, and a decrease in individual-specific vocal tract information extractable from the signal. [source] MULTILOCUS GENETICS AND THE COEVOLUTION OF QUANTITATIVE TRAITSEVOLUTION, Issue 7 2006Michael Kopp Abstract We develop and analyze an explicit multilocus genetic model of coevolution. We assume that interactions between two species (mutualists, competitors, or victim and exploiter) are mediated by a pair of additive quantitative traits that are also subject to direct stabilizing selection toward intermediate optima. Using a weak-selection approximation, we derive analytical results for a symmetric case with equal locus effects and no mutation, and we complement these results by numerical simulations of more general cases. We show that mutualistic and competitive interactions always result in coevolution toward a stable equilibrium with no more than one polymorphic locus per species. Victimexploiter interactions can lead to different dynamic regimes including evolution toward stable equilibria, cycles, and chaos. At equilibrium, the victim is often characterized by a very large genetic variance, whereas the exploiter is polymorphic in no more than one locus. Compared to related one-locus or quantitative genetic models, the multilocus model exhibits two major new properties. First, the equilibrium structure is considerably more complex. We derive detailed conditions for the existence and stability of various classes of equilibria and demonstrate the possibility of multiple simultaneously stable states. Second, the genetic variances change dynamically, which in turn significantly affects the dynamics of the mean trait values. In particular, the dynamics tend to be destabilized by an increase in the number of loci. [source] An emotive subject: insights from social, voluntary and healthcare professionals into the feelings of family carers for people with mental health problems,HEALTH & SOCIAL CARE IN THE COMMUNITY, Issue 2 2009Ben Gray BA PhD Senior Research Fellow CCCU Abstract Caring for people with mental health problems can generate a whole range of positive and negative emotions, including fear, disbelief, guilt and chaos as well as a sense of purpose, pride and achievement. This paper explores the emotions of family carers from the perspectives of social, voluntary and healthcare professionals. Sixty-five participants were interviewed, the sample included directors, managers and senior staff from social, voluntary and healthcare organisations. Participants were encouraged to talk in detail about their understanding of the emotions of family carers. Findings highlight a rich understanding of the broad spectrum of carer emotions and the huge emotional adjustments that are often involved. Diagnosis was seen to be imbued with negative emotions, such as fear, anger and denial. However, feelings of hopelessness and desolation were often counterbalanced by feelings of hope, satisfaction and the emotional rewards of caring for a loved one. Participants noted a clear lack of emotional support for family carers, with accompanying feelings of marginalisation, particularly during transitions and especially involving young carers as well as ethnic minorities. By way of contrast, carer support groups were suggested by professionals to be a holistic, effective and economical way of meeting carers' emotional needs. This paper explores the challenge of family carer emotions from the perspective of managers and practitioners and draws out implications for research, policy and practice. [source] Nonlinear dynamics, complex systems, and occupational accidentsHUMAN FACTORS AND ERGONOMICS IN MANUFACTURING & SERVICE INDUSTRIES, Issue 4 2003Stephen J. Guastello This article explains how some concepts of nonlinear dynamics,attractors, bifurcations, catastrophes, chaos, and self-organization,contribute to the explanation of deterministic processes in occupational accidents. Empirical results from factory, transportation, and health care settings are compared. The complex dynamics of chaos and self-organization have recently become more important as work systems themselves have become more complex. © 2003 Wiley Periodicals, Inc. Hum Factors Man 13: 293,304, 2003. [source] Is a chaotic multi-fractal approach for rainfall possible?HYDROLOGICAL PROCESSES, Issue 6 2001Bellie Sivakumar Abstract An Erratum has been published for this article in Hydrological Processes 15 (12) 2001, 2381,2382. Applications of the ideas gained from fractal theory to characterize rainfall have been one of the most exciting areas of research in recent times. The studies conducted thus far have nearly unanimously yielded positive evidence regarding the existence of fractal behaviour in rainfall. The studies also revealed the insufficiency of the mono-fractal approaches to characterizing the rainfall process in time and space and, hence, the necessity for multi-fractal approaches. The assumption behind multi-fractal approaches for rainfall is that the variability of the rainfall process could be directly modelled as a stochastic (or random) turbulent cascade process, since such stochastic cascade processes were found to generically yield multi-fractals. However, it has been observed recently that multi-fractal approaches might provide positive evidence of a multi-fractal nature not only in stochastic processes but also in, for example, chaotic processes. The purpose of the present study is to investigate the presence of both chaotic and fractal behaviours in the rainfall process to consider the possibility of using a chaotic multi-fractal approach for rainfall characterization. For this purpose, daily rainfall data observed at the Leaf River basin in Mississippi are studied, and only temporal analysis is carried out. The autocorrelation function, the power spectrum, the empirical probability distribution function, and the statistical moment scaling function are used as indicators to investigate the presence of fractal, whereas the presence of chaos is investigated by employing the correlation dimension method. The results from the fractal identification methods indicate that the rainfall data exhibit multi-fractal behaviour. The correlation dimension method yields a low dimension, suggesting the presence of chaotic behaviour. The existence of both multi-fractal and chaotic behaviours in the rainfall data suggests the possibility of a chaotic multi-fractal approach for rainfall characterization. Copyright © 2001 John Wiley & Sons, Ltd. [source] Generalized polynomial chaos and random oscillatorsINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 3 2004D. Lucor Abstract We present a new approach to obtain solutions for general random oscillators using a broad class of polynomial chaos expansions, which are more efficient than the classical Wiener,Hermite expansions. The approach is general but here we present results for linear oscillators only with random forcing or random coefficients. In this context, we are able to obtain relatively sharp error estimates in the representation of the stochastic input as well as the solution. We have also performed computational comparisons with Monte Carlo simulations which show that the new approach can be orders of magnitude faster, especially for compact distributions. Copyright © 2004 John Wiley & Sons, Ltd. [source] Numerical investigation of the first instabilities in the differentially heated 8:1 cavityINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Issue 8 2002F. Auteri Abstract We present a new Galerkin,Legendre spectral projection solver for the simulation of natural convection in a differentially heated cavity. The projection method is applied to the study of the first non-stationary instabilities of the flow in a 8:1 cavity. Statistics of the periodic solution are reported for a Rayleigh number of 3.4×105. Moreover, we investigate the location and properties of the first Hopf bifurcation and of the three successive bifurcations. The results confirm the previous finding in the range of Rayleigh numbers investigated that the flow instabilities originate in the boundary layer on the vertical walls. A peculiar phenomenon of symmetry breaking and symmetry restoring is observed portraying the first steps of the transition to chaos for this flow. Copyright © 2002 John Wiley & Sons, Ltd. [source] Mediating between predetermined order and chaos: the role of the teacher in task-based language educationINTERNATIONAL JOURNAL OF APPLIED LINGUISTICS, Issue 3 2009Kris Van den Branden interactie; taakgericht onderwijs; leerkracht; taalleren Tasks are not blueprints for action. A number of empirical studies carried out in authentic classrooms have shown that teachers and students reinterpret the tasks they are offered by syllabus developers in ways that suit their own purposes, learning needs, and interaction styles. This observation has raised fundamental questions about the degree to which teachers who are working with tasks can make any prediction concerning the learning that will come of out of task-based interactional work. In addition, if learners' reactions to tasks are fairly unpredictable, teachers may be inclined to associate task-based work with organisational chaos and with the seemingly unattainable challenge of having to cater to every individual learner's personal whims. Drawing on classroom-based research carried out in Flanders, and describing two task-based lessons that were observed in authentic Dutch as a second language (DSL) classrooms, this paper shows that between the extremes of deterministic predictability on the one hand and complete chaos on the other lies a rich pedagogical space that teachers and learners who work with tasks can exploit to construct shared projects with clearly determined goals. Taaltaken zijn geen blauwdruk voor activiteit in de klas. Uit heel wat onderzoek naar klasinteractie blijkt dat leerkrachten en leerlingen de taken die ze krijgen voorgeschoteld, herinterpreteren, zodat ze beter aansluiten bij hun leerstijlen, interesses en interactiestijl. Dit roept de vraag op of leerkrachten die met taken werken nog wel enige voorspelling kunnen doen over wat hun leerlingen uit de taakuitvoering zullen leren. Bovendien dreigen heel wat leerkrachten taakgericht onderwijs te associëren met chaos in de klas, en met de schier onhaalbare uitdaging om op alle behoeften en reacties van alle individuele leerlingen te moeten inspelen. Op basis van onderzoek in Vlaamse klassen, en voortbouwend op 2 taakgerichte lessen die werden geobserveerd in Vlaamse NT2-klassen, illustreert dit artikel dat er tussen chaos en complete voorspelbaarheid een rijke pedagogische ruimte ligt. Binnen die pedagogische ruimte gaan leerkrachten en leerlingen samen aan de slag rond een gezamenlijk taakgericht project met duidelijke doeleinden. [source] Generic prescribing , the chaos continuesINTERNATIONAL JOURNAL OF CLINICAL PRACTICE, Issue 6 2005Graham Jackson No abstract is available for this article. [source] Generic prescribing , cost saving chaosINTERNATIONAL JOURNAL OF CLINICAL PRACTICE, Issue 2 2005Graham Jackson No abstract is available for this article. [source] Reconstruction of chaotic signals with application to channel equalization in chaos-based communication systemsINTERNATIONAL JOURNAL OF COMMUNICATION SYSTEMS, Issue 3 2004Jiuchao Feng Abstract A number of schemes have been proposed for communication using chaos over the past years. Regardless of the exact modulation method used, the transmitted signal must go through a physical channel which undesirably introduces distortion to the signal and adds noise to it. The problem is particularly serious when coherent-based demodulation is used because the necessary process of chaos synchronization is difficult to implement in practice. This paper addresses the channel distortion problem and proposes a technique for channel equalization in chaos-based communication systems. The proposed equalization is realized by a modified recurrent neural network (RNN) incorporating a specific training (equalizing) algorithm. Computer simulations are used to demonstrate the performance of the proposed equalizer in chaos-based communication systems. The Hénon map and Chua's circuit are used to generate chaotic signals. It is shown that the proposed RNN-based equalizer outperforms conventional equalizers as well as those based on feedforward neural networks for noisy, distorted linear and non-linear channels. Copyright © 2004 John Wiley & Sons, Ltd. [source] Visualization of dynamic systems with performance maps: A rough computing approachINTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, Issue 2 2002James J. Alpigini A visualization technique titled the "performance map" is considered, which is derived from the Julia set common in the visualization of iterative chaos. Such maps are generated automatically and require a minimum of a priori knowledge of the system under evaluation. By the use of intuitively derived evaluation rules combined with color coding, they convey a wealth of information to the informed user about dynamic behaviors of a system that may be hidden from all but the expert analyst. The concept of rough sets is then presented and used to derive a new set of rules to affect map generation. This derivation serves to formalize rule generation and further serves to minimize the number of variables to test during the system evaluation. © 2002 John Wiley & Sons, Inc. [source] Are weed population dynamics chaotic?JOURNAL OF APPLIED ECOLOGY, Issue 5 2002Robert P. Freckleton Summary 1There have been suggestions that the population dynamics of weeds may show chaotic dynamics, and that therefore it will not be possible to predict the impact of changing management regimes on weed abundance. The instability of weed populations is presumed to result either from overcompensating yield,density responses or from threshold management. 2Using theoretical arguments and empirical evidence we argue that this contention is likely to be incorrect. 3Overcompensating yield,density responses are unlikely in plant populations and this point has been extensively discussed. Such responses have only been observed in high-density artificially sown stands of weed populations. The form of chaos that results from threshold management is a consequence of high population growth resulting from the cessation of management when weed densities are lower than a threshold level. Consequently the dynamics of such populations may be argued to be extrinsically rather than intrinsically driven. 4There are many studies that have shown weed populations to be dynamically stable, both spatially and temporally. Here we present an analysis of data from the Broadbalk experiment that demonstrates long-term stability of 12 species of common weeds over a 12-year period. Using parameter estimates derived from the literature we show that the stability of these populations is similar to other annual species, both weedy and non-weedy. 5We argue that weed population dynamics are more generally better viewed as resulting from the impacts of broad-scale types of management, as well as temporal variability in population numbers. The significance of chaotic dynamics is likely to be minimal. [source] ORDINARY LEAST SQUARES LEARNING AND NONLINEARITIES IN MACROECONOMICSJOURNAL OF ECONOMIC SURVEYS, Issue 1 2010Orlando Gomes Abstract The paper reviews the literature on adaptive learning in macroeconomic settings where the formation of expectations is particularly relevant. Special attention will be given to simple two-period overlapping generations models with a unique fixed point perfect foresight equilibrium; in this kind of scenario, eventual long-term periodic and a-periodic cycles are exclusively the result of the process of learning. The outcome that high rates of money growth have a potentially destabilizing effect generating periodic fluctuations and chaos is emphasized. The persistence of systematic forecast errors in a scenario where agents are supposed to act rationally is relevant in this context and it will be thoroughly discussed resorting to the notions of self-fulfilling mistakes, consistent expectations equilibria and beliefs equilibria. [source] Glycemic chaos (not glycemic control) still the rule for inpatient careJOURNAL OF HOSPITAL MEDICINE, Issue 3 2006How do we stop the insanity? [source] A chaos-based iterated multistep predictor for blast furnace ironmaking processAICHE JOURNAL, Issue 4 2009Chuanhou Gao Abstract The prediction and control of the inner thermal state of a blast furnace, represented as silicon content in blast furnace hot metal, pose a great challenge because of complex chemical reactions and transfer phenomena taking place in blast furnace ironmaking process. In this article, a chaos-based iterated multistep predictor is designed for predicting the silicon content in blast furnace hot metal collected from a pint-sized blast furnace. The reasonable agreement between the predicted values and the observed values indicates that the established high dimensional chaotic predictor can predict the evolvement of silicon series well, which conversely render the strong indication of existing deterministic mechanism ruling the dynamics of complex blast furnace ironmaking process, i.e., a high-dimensional chaotic system is suitable for representing the blast furnace system. The results may serve as guidelines for characterizing blast furnace ironmaking process, an extremely complex but fascinating field, with chaos in the future investigation. © 2009 American Institute of Chemical Engineers AIChE J, 2009 [source] | ||||||||||||||||||||||||||||||||||||||||||||||