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Chaos for Discrete Dynamical System
Published 2013-01-01“…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. …”
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Time in dynamical systems
Published 2004-01-01“…We review some ideas and concepts on the irreversibility of deterministic dynamical systems that have been discussed during several years of collaboration with Ilya Prigogine and B. …”
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On Random Dynamical Systems Generated by White Noise Time Change of Deterministic Dynamical Systems
Published 2022-01-01“…In this paper, we apply the random time change by the real white noise to deterministic dynamical systems. We prove that the obtained random dynamical systems are solutions of some stochastic differential equations whenever the deterministic dynamical systems are solutions of ordinary differential equations.…”
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Realization of immune response features by dynamical system models
Published 2007-04-01Get full text
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Stability Analysis Including Monostability and Multistability in Dynamical System and Applications
Published 2014-01-01Get full text
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Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship
Published 2010-01-01“…The present paper shows a dynamical system for studying the relationship host-parasitoid (Diaphorina citri, Tamarixia radiata) and shows that a nonlinear model permits the estimation of the parasite nymphs using nymphs healthy as the known variable. …”
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Stability analysis and application of a mathematical cholera model
Published 2011-05-01Subjects: Get full text
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Trichotomy for Dynamical Systems in Banach Spaces
Published 2013-01-01“…We construct a framework for the study of dynamical systems that describe phenomena from physics and engineering in infinite dimensions and whose state evolution is set out by skew-evolution semiflows. …”
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Immersion in Complex Dynamical Systems with Ergodicity
Published 2024-04-01Subjects: Get full text
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The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System
Published 2016-01-01Get full text
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Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases
Published 2020-01-01“…This manuscript is devoted to investigate qualitative theory of existence and uniqueness of the solution to a dynamical system of an infectious disease known as measles. …”
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Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation
Published 2005-01-01“…We will study the lattice dynamical system of a nonlinear Boussinesq equation. Our objective is to explore the existence of the global attractor for the solution semiflow of the introduced lattice system and to investigate its upper semicontinuity with respect to a sequence of finite-dimensional approximate systems. …”
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Exponential Attractor for a First-Order Dissipative Lattice Dynamical System
Published 2008-01-01“…We construct an exponential attractor for a first-order dissipative lattice dynamical system arising from spatial discretization of reaction-diffusion equations in ℝ𝑘. …”
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