A classification of dynamical systems
Janina Kłapyta (1991)
Annales Polonici Mathematici
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Displaying similar documents to “On the strong convergence to equilibrium for randomly perturbed dynamical systems”
A classification of dynamical systems
Asymptotic stability of dynamical systems with multiplicative perturbations
Katarzyna Horbacz (1989)
Annales Polonici Mathematici
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Pullback incremental attraction
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.
On Lyapunov stability in hypoplasticity
Kovtunenko, Victor A., Krejčí, Pavel, Bauer, Erich, Siváková, Lenka, Zubkova, Anna V.
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We investigate the Lyapunov stability implying asymptotic behavior of a nonlinear ODE system describing stress paths for a particular hypoplastic constitutive model of the Kolymbas type under proportional, arbitrarily large monotonic coaxial deformations. The attractive stress path is found analytically, and the asymptotic convergence to the attractor depending on the direction of proportional strain paths and material parameters of the model is proved rigorously with the help of a Lyapunov...
Asymptotic Stability of Zakharov-Kuznetsov solitons
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.
Monotonic asymptotic stability of a class of solutions along the coordinates
B. Vrdoljak (1980)
Matematički Vesnik
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The stability of Nash-Cournot equilibria in labor managed oligopolies.
Li, Weiye, Szidarovszky, Ferenc (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Variationally asymptotically stable difference systems.
Choi, Sung Kyu, Goo, Yoon Hoe, Koo, Namjip (2007)
Advances in Difference Equations [electronic only]
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A weak invariance principle and asymptotic stability for evolution equations with bounded generators.
Chukwu, E.N., Smoczynski, P. (1995)
International Journal of Mathematics and Mathematical Sciences
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The direct Lyapunov method for an almost periodic difference system on a compactum.
Dobrovol'skij, S.M., Rogozin, A.V. (2005)
Sibirskij Matematicheskij Zhurnal
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Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations
M. E. Lord (1982)
Rendiconti del Seminario Matematico della Università di Padova
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Dynamical systems with multiplicative perturbations
Katarzyna Horbacz (1989)
Annales Polonici Mathematici
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Stability of the positive point of equilibrium of Nicholson's blowflies equation with stochastic perturbations: numerical analysis.
Bradul, Nataliya, Shaikhet, Leonid (2007)
Discrete Dynamics in Nature and Society
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A constructive method for solving stabilization problems
Vadim Azhmyakov (2000)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The problem of asymptotic stabilization for a class of differential inclusions is considered. The problem of choosing the Lyapunov functions from the parametric class of polynomials for differential inclusions is reduced to that of searching saddle points of a suitable function. A numerical algorithm is used for this purpose. All the results thus obtained can be extended to cover the discrete systems described by difference inclusions.