Asymptotic stability of dynamical systems with multiplicative perturbations
Katarzyna Horbacz (1989)
Annales Polonici Mathematici
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Katarzyna Horbacz (1989)
Annales Polonici Mathematici
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Joanna Kubieniec (2016)
Annales Mathematicae Silesianae
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In paper [4] there are considered random dynamical systems with randomly chosen jumps acting on Polish spaces. The intensity of this process is a constant λ. In this paper we formulate criteria for the existence of an invariant measure and asymptotic stability for these systems in the case when λ is not constant but a Lipschitz function.
Paweł Płonka (2016)
Annales Mathematicae Silesianae
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In this paper we want to show the existence of a form of asymptotic stability of random dynamical systems in the sense of L. Arnold using arguments analogous to those presented by T. Szarek in [6], that is showing it using conditions generalizing the notion of tightness of measures. In order to do that we use tightness theory for random measures as developed by H. Crauel in [2].
A. Lasota, J. Tyrcha (1991)
Annales Polonici Mathematici
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Janina Kłapyta (1991)
Annales Polonici Mathematici
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Vrkoč, I.
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Didier Pilod (2014-2015)
Séminaire Laurent Schwartz — EDP et applications
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In this report, we review the proof of the asymptotic stability of the Zakharov-Kuznetsov solitons in dimension two. Those results were recently obtained in a joint work with Raphaël Côte, Claudio Muñoz and Gideon Simpson.
B. Vrdoljak (1980)
Matematički Vesnik
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Peter E. Kloeden, Thomas Lorenz (2014)
Nonautonomous Dynamical Systems
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A pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicated.
M. E. Lord (1982)
Rendiconti del Seminario Matematico della Università di Padova
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Li, Weiye, Szidarovszky, Ferenc (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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