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Global attractors for V-monotone nonautonomous dinamical systems. (English)
Authors: David N. Cheban, Peter E. Kloeden, Bjorn Schmalfub.
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Abstract
This article is devoted to the study of the compact global atrractors of V-momotone nonautonomous dynamical systems.We give a description of the structure of compact global attractors of this class of systems. Several applications of general results for different classes of differential equations (ODEs, ODEs with impulse, some classes of evolutionary partial differential equations) are given.David N.Cheban
Faculty of Mathematics and Informatics
State University of Moldova
MD-2009 Chisinau, Moldova
E-mail:
Peter E. Kloeden
Fachbereich Mathematik, Johann Wolfgang Goethe Universitat
D-60054 Frankfurt am Main, Germany
E-mail:
Bjorn Schmalfub
University of Applied Sciences,
D-06217 Merseburg, Germany
E-mail:
Faculty of Mathematics and Informatics
State University of Moldova
MD-2009 Chisinau, Moldova
E-mail:
Peter E. Kloeden
Fachbereich Mathematik, Johann Wolfgang Goethe Universitat
D-60054 Frankfurt am Main, Germany
E-mail:
Bjorn Schmalfub
University of Applied Sciences,
D-06217 Merseburg, Germany
E-mail:
Fulltext
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Contents
- The mathematical legacy of C.S. Sibirsky. (English)
- The Lyapunov stability in restricted problems of cosmic dynamics. (English)
- A Lie algebra of a differential generalized FitzHugh-Nagumo system. (English)
- Quadratic systems with limit cycles of normal size. (English)
- Global attractors for V-monotone nonautonomous dinamical systems. (English)
- Wavelet analysis of nonlinear dynamical systems. (English)
- New constructive methods for analysis of resonant systems. (English)
- Note on multiple zeta-values. (English)
- CMC-surfaces, phi-geodesics and the Caratheodory conjecture. (English)
- Solution of the center problem for cubic systems with a bundle of three invariant straight lines. (English)
- Classification of quadratic systems with a symmetry center and simple infinite singular points. (English)
