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34 results for “dynamical system”
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Research ArticleOpen accessPhrase in the titleON SMOOTH SOLUTIONS OF NON LINEAR DYNAMICAL SYSTEMS, fn+1 = u(fn), PART IKyriakos KefalasWe consider the dynamical system, fn+1 = u(fn), (1) (where usually n, is time) defined by a continuous map u. Our target is to find a flow of the system for each initial state f0, i.e., we seek continuous solutions of (1), with the same smoothness degree as u. We start with the introduction of continued forms which are a … …Physics International, Vol. 5, Issue 1 · 7 May 2014 · 8,668 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleFlows of Continuous-Time Dynamical Systems with No Periodic Orbit as an Equivalence Class under Topological Conjugacy RelationTahir Ahmad, Tan Lit KenProblem statement: Flows of continuous-time dynamical systems with the same number of equilibrium points and trajectories, and which has no periodic orbit form an equivalence class under the topological conjugacy relation. Approach: Arbitrarily, two trajectories resulting from two distinct flows of this type of dynamical systems were written as a set of points (orbit). A homeomorphism which maps between these … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 18 Jul 2011 · 7,254 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleDynamical System of Flat ElectroencephalographyTan Lit Ken, Tahir bin Ahmad, Mohd Sham bin Mohamad, Su Kong NgienFlat EEG is a way of viewing electroencephalography signals on the real plane. The wealth of information contained within makes it a great platform to study epileptic seizure. In this study, the time embedment nature of Flat EEG is exploited to establish a dynamic Flat EEG model. Basically, a geometrical representation which displays the important information visually for Flat EEG … …American Journal of Applied Sciences, Vol. 12, Issue 7 · 21 Aug 2015 · 6,600 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleDirect Model Reference Adaptive Controller Based-On Neural-Fuzzy Techniques for Nonlinear Dynamical SystemsHafizah Husain, Marzuki Khalid, Rubiyah YusofThis paper presents a direct neural-fuzzy-based Model Reference Adaptive Controller (MRAC) for nonlinear dynamical systems with unknown parameters. The two-phase learning is implemented to perform structure identification and parameter estimation for the controller. In the first phase, similarity index-based fuzzy c-means clustering technique extracts the fuzzy rules in the premise part for the neural-fuzzy controller. This technique enables the recruitment … …American Journal of Applied Sciences, Vol. 5, Issue 7 · 31 Jul 2008 · 6,939 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOscillatory Dynamical Switching System of Bulk FerroelectricsM. N.A. Halif, S. Daud, Junaidah OsmanThis study gives a detailed account of calculation of the bulk ferroelectric (FE) oscillatory dynamical system switching to first and second-order phase transition, respectively. All the formalism is delineated in the framework of Landau free-energy expansion and Landau-Khalatnikov (LK) equation of motion where the effect of external energy may affray FE atoms similar to the spring damped oscillatory system. Here … …American Journal of Applied Sciences, Vol. 2, Issue 6 · 30 Jun 2005 · 6,677 accessesView PDFCite
Research ArticleOpen accessIn the keywordsINCORPORATING PRIOR KNOWLEDGE INTO TEMPORAL DIFFERENCE NETWORKSBritton Wolfe, James HarpeDeveloping general purpose algorithms for learning an accurate model of dynamical systems from example traces of the system is still a challenging research problem. Predictive State Representation (PSR) models represent the state of a dynamical system as a set of predictions about future events. Our work focuses on improving Temporal Difference Networks (TD Nets), a general class of predictive state … …Journal of Computer Science, Vol. 10, Issue 11 · 18 Dec 2014 · 7,837 accessesView PDFCite
Research ArticleOpen accessIn the keywordsTopological Conjugacy Between Seizure and Flat ElectroencephalographyTahir Ahmad, Tan Lit KenProblem statement: Seizure and Flat EEG which are modeled as two distinct dynamical systems share the same dynamics in the topological viewpoint. Approach: Motions of seizure and Flat EEG of the dynamical systems were written as set points. A function that maps between these two sets is then built. By using topological conjugacy, they are shown to share the same … …American Journal of Applied Sciences, Vol. 7, Issue 11 · 8 Nov 2010 · 6,760 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe Conditional Sequence Information FunctionOsman GuzideProblem statement: A great deal of attention has been given to the theory of information. It has found its applications in science especially in the area of Biothecnology. Previous studies on the subject has been limited to either conditional or sequence problem solving. This study combines both conditional and sequence properties of the information function. By doing this, researchers can … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 8,054 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Model for the Effectiveness of Hibernate on Complex Ecology SystemLingli Pei, Jiangdong Liao, Hongjun WangThere are significant differences between plant activities and animal activities in ecological networks. On this basis, this article aims to evaluate the effectiveness of the hibernate (forgetting and remembering mechanism). For this purpose, the hibernation interaction is derived model (linear UAH model) of continuous-time individual-level activity. This model is an effective approach to understand the effectiveness of the construction of … …American Journal of Biochemistry and Biotechnology, Vol. 17, Issue 2 · 21 Apr 2021 · 6,349 accessesView PDFCite
Research ArticleOpen accessIn the keywordsModeling Tourist Arrivals in Destination Countries: An Application to Australian TourismS. A.H. Shobeiri Nejad, Gurudeo Anand TularamProblem statement: Little study is evident of mathematical modeling regarding tourist arrivals in South East Queensland of Australia. In this study the Bulter conceptual destination life cycle and product life cycle frameworks are used to develop an overall determinant mathematical model of Australian tourist arrivals. The model will be calibrated using real Australian data. A more complex dynamic is also … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 31 Dec 2010 · 7,915 accessesView PDFCite