Titlebook: Nonautonomous Bifurcation Theory; Concepts and Tools Vasso Anagnostopoulou,Christian P?tzsche,Martin Ra Book 2023 The Editor(s) (if applica

指派

2364-4532 bifurcation is provided, and these are formulated in a unified notation and illustrated by means of comprehensible examples. Additionally, certain relevant tools needed in a corresponding analysis are presented.978-3-031-29841-7978-3-031-29842-4Series ISSN 2364-4532 Series E-ISSN 2364-4931

SENT

Frontiers in Applied Dynamical Systems: Reviews and Tutorialshttp://image.papertrans.cn/n/image/667167.jpg

流眼淚

https://doi.org/10.1007/978-3-031-29842-4Bifurcation Theory; Dynamical Systems; Nonautonomous differential equations; Spectral theory; Reduction

Nonflammable

Introduction,amples are presented illustrating different types of nonautonomous bifurcations, which set the stage for our further analysis. Finally, we remark on topological equivalence and describe several neglected topics.

取回

Spectral Theory, Stability and Continuationential dichotomies, the resulting dichotomy (Sacker-Sell) spectrum and the Spectral Theorem, as well as the Lyapunov spectrum. Moreover, it is shown that hyperbolic bounded entire solutions can be continued in parameters and therefore nonhyperbolicity is necessary for bifurcation.

無(wú)禮回復(fù)

Nonautonomous Bifurcation bifurcation of minimal sets. We review sufficient conditions for such bifurcations and present suitable examples. Rate-induced tipping is understood as a special case of solution bifurcation. The chapter closes with some remarks on nonautonomous Hopf bifurcations.

dainty

Reduction Techniquesension and we describe how to obtain a Taylor approximation of integral manifolds and (2) under suitable nonresonance conditions, normal form theory yields algebraic simplification. Both approaches are based on suitable assumptions on the dichotomy spectrum.

小平面

Nonautonomous Bifurcationand bifurcation of minimal sets and invariant graphs. In reviewing sufficient conditions for such bifurcations, we try to complement those results covered for ordinary differential equations already. A nonautonomous Sacker–Neimark bifurcation is understood as an attractor bifurcation.

subacute

Vasso Anagnostopoulou,Christian P?tzsche,Martin RaGives a unique survey of different approaches to nonautonomous bifurcation theory.Examples guide the discussion and comparison of different approaches.Provides a unique collection of tools from the th

DOTE