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Discrete Dynamical Systems
, 2007
"... This manuscript analyzes the fundamental factors that govern the qualitative behavior of discrete dynamical systems. It introduces methods of analysis for stability analysis of discrete dynamical systems. The analysis focuses initially on the derivation of basic propositions about the factors that ..."
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Cited by 28 (1 self)
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This manuscript analyzes the fundamental factors that govern the qualitative behavior of discrete dynamical systems. It introduces methods of analysis for stability analysis of discrete dynamical systems. The analysis focuses initially on the derivation of basic propositions about the factors
On Fuzzifications of Discrete Dynamical Systems
, 2008
"... Let X denote a locally compact metric space and ϕ: X → X be a continuous map. In the 1970s L. Zadeh presented an extension principle, helping us to fuzzify the dynamical system (X,ϕ), i.e., to obtain a map Φ for the space of fuzzy sets on X. We extend an idea mentioned in [P. Diamond, A. Pokrovskii, ..."
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Cited by 4 (1 self)
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convergent sequence of uniformly convergent maps on X induces a uniformly convegent sequence of continuous maps on the space of fuzzy sets, and (ii) a conjugacy (a semiconjugacy, resp.) between two discrete dynamical systems can be extended to a conjugacy (a semiconjugacy, resp.) between fuzzified
EVOLUTION OF DISCRETE DYNAMICAL SYSTEMS
"... We investigate the evolution of three different types of discrete dynamical systems. In each case simple local rules are shown to yield interesting collective global behavior. (a) We introduce a mechanism for the evolution of growing small world networks. We demonstrate that purely local connection ..."
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We investigate the evolution of three different types of discrete dynamical systems. In each case simple local rules are shown to yield interesting collective global behavior. (a) We introduce a mechanism for the evolution of growing small world networks. We demonstrate that purely local connection
Valter: On condensing discrete dynamical systems
 Math. Bohem
"... Dedicated to the memory of M. Å. Krasnoseľskÿ Abstract. In the paper the fundamentaì pгopeгties of discrete dynamical systems generated by an acondensing mapping (a is the Kuratowski measure of noncompactness) are studied. The results extend and deepen those obtained by M. A. Krasnoseľskij and A. ..."
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Cited by 1 (0 self)
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Dedicated to the memory of M. Å. Krasnoseľskÿ Abstract. In the paper the fundamentaì pгopeгties of discrete dynamical systems generated by an acondensing mapping (a is the Kuratowski measure of noncompactness) are studied. The results extend and deepen those obtained by M. A. Krasnoseľskij and A
Discretizing Dynamical Systems with Generalized
, 2010
"... We consider parameterdependent, continuoustime dynamical systems under discretizations. It is shown that generalized Hopf bifurcations are shifted and turned into generalized NeimarkSacker points by general onestep methods. We analyze the effect of discretizations methods on the emanating Hopf c ..."
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We consider parameterdependent, continuoustime dynamical systems under discretizations. It is shown that generalized Hopf bifurcations are shifted and turned into generalized NeimarkSacker points by general onestep methods. We analyze the effect of discretizations methods on the emanating Hopf
Chaos for Discrete Dynamical System
"... We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence. Then, we give a sufficient condition for the dynamical system to be chaotic in the strong sense of LiYorke. We also prove that a dynamical system is distr ..."
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We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence. Then, we give a sufficient condition for the dynamical system to be chaotic in the strong sense of LiYorke. We also prove that a dynamical system
Discrete Dynamical Systems
 Bifurcations and Chaos in Economics," Elsevier B.V
, 2006
"... Abstract. If a countable amenable group G contains an infinite subgroup 0, one may define, from a measurable action of 0, the socalled coinduced measurable action of G. These actions were defined and studied by Dooley, Golodets, Rudolph and Sinelsh’chikov. In this paper, starting from a topologica ..."
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Cited by 2 (1 self)
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Abstract. If a countable amenable group G contains an infinite subgroup 0, one may define, from a measurable action of 0, the socalled coinduced measurable action of G. These actions were defined and studied by Dooley, Golodets, Rudolph and Sinelsh’chikov. In this paper, starting from a topological action of 0, we define the coinduced topological action of G. We establish a number of properties of this construction, notably, that the Gaction has the topological entropy of the 0action and has uniformly positive entropy (completely positive entropy, respectively) if and only if the 0action has uniformly positive entropy (completely positive entropy, respectively). We also study the Pinsker algebra of the coinduced action. 1.
Modeling with Discrete Dynamical Systems
"... One of the most exciting areas of modeling concerns predicting temporal evolution. The main question that is posed in this setting is how do variables of interest change over time? This type of problem is everywhere to be found, for example in areas as diverse as science, engineering and finance. Pr ..."
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One of the most exciting areas of modeling concerns predicting temporal evolution. The main question that is posed in this setting is how do variables of interest change over time? This type of problem is everywhere to be found, for example in areas as diverse as science, engineering and finance. Prediction means that given the values
Results 1  10
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178,538