Perturbation theorems for a multifrequency system with pulses

DOI10.1007/s10958-016-2988-6zbMath1355.34037OpenAlexW2478975717MaRDI QIDQ328517

P. V. Feketa, Yu. M. Perestyuk

Publication date: 20 October 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/177155

zbMATH Keywords

invariant setnon-wandering setimpulsive system

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Invariant manifolds for ordinary differential equations (34C45) Multifrequency systems of ordinary differential equations (34C46)

Related Items (7)

Input-to-state stability of impulsive systems and their networks ⋮ Exponential stability of invariant manifold for a nonlinear impulsive multifrequency system ⋮ Stability of global attractors of impulsive infinite-dimensional systems ⋮ Piecewise-polynomial approximations for the solutions of impulsive differential equations ⋮ Existence and Invariance of Global Attractors for Impulsive Parabolic System Without Uniqueness ⋮ On the exponential stability of a trivial torus for one class of nonlinear impulsive systems ⋮ On a Lyapunov Characterization of Input-To-State Stability for Impulsive Systems with Unstable Continuous Dynamics

Cites Work

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• Invariant sets of a class of discontinuous dynamical systems
• An introduction to hybrid dynamical systems
• On preservation of the invariant torus for multifrequency systems
• Convergence of solutions of higher order neutral difference equations with quasi-differences
• Conditions for exponential stability and dichotomy of pulse linear extensions of dynamical systems on a torus

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