ASYMPTOTIC STABILITY IN GENERAL DYNAMICAL SYSTEMS
Copyright policy )ASYMPTOTIC STABILITY IN GENERAL DYNAMICAL SYSTEMS
Summary: We characterize asymptotic stability via Lyapunov functions in general dynamical systems on \(c\)-first countable spaces. We give a family of examples which have a first countable but not \(c\)-first countable, also a \(c\)-first countable and locally compact space but not metric space. We obtain several necessary and sufficient conditions for a compact subset \(M\) of the phase space \(X\) to be asymptotic stable.
asymptotic stability, Stability of topological dynamical systems, Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems, locally compact space, Topological dynamics, Lyapunov functions, \(c\)-first countable spaces
asymptotic stability, Stability of topological dynamical systems, Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems, locally compact space, Topological dynamics, Lyapunov functions, \(c\)-first countable spaces
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!