Rare Periodic and Rare Chaotic Attractors and Bifurcation Groups in Typical Nonlinear Dynamical Discrete Models

16th International Conference on Difference Equations and Applications (ICDEA2010): Abstracts 2010
Mihails Zakrževskis, Igors Ščukins, Raisa Smirnova, Valentīns Frolovs, Vladislavs Jevstigņejevs, Aleksejs Klokovs

The problems of the global dynamics of nonlinear systems, described by discrete equations, are under consideration. The paper is a continuation of our publications on rare attractors (RA) and a method of complete bifurcation groups (MCBG) recently proposed by one of the authors [1, 2]. In this paper some rare periodic and chaotic attractors have been obtained for different typical nonlinear dynamical systems. As examples we discuss using the method of complete bifurcation group for logistical equations with square and cube nonlinearity [2], population models [3] and a problem of turbulent (vortex) flow [Ch. Skiadas, Von Karman Streets Chaotic Simulation, 2009]. In the presentation a new software Discrete-ABC is discussed as well.

Atslēgas vārdi
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Zakrževskis, M., Ščukins, I., Smirnova, R., Frolovs, V., Jevstigņejevs, V., Klokovs, A. Rare Periodic and Rare Chaotic Attractors and Bifurcation Groups in Typical Nonlinear Dynamical Discrete Models. No: 16th International Conference on Difference Equations and Applications (ICDEA2010): Abstracts, Latvija, Riga, 19.-23. jūlijs, 2010. Riga: Latvian Mathematical Society, 2010, 59.-59.lpp. ISBN 978-9984-45-213-5.

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English (en)