指派
发表于 2025-3-23 10:44:19
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
发表于 2025-3-23 16:38:18
Frontiers in Applied Dynamical Systems: Reviews and Tutorialshttp://image.papertrans.cn/n/image/667167.jpg
流眼泪
发表于 2025-3-23 21:34:42
https://doi.org/10.1007/978-3-031-29842-4Bifurcation Theory; Dynamical Systems; Nonautonomous differential equations; Spectral theory; Reduction
Nonflammable
发表于 2025-3-24 00:27:32
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
发表于 2025-3-24 05:02:10
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.
无礼回复
发表于 2025-3-24 08:04:07
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
发表于 2025-3-24 10:45:53
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
发表于 2025-3-24 15:52:53
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
发表于 2025-3-24 20:37:53
Vasso Anagnostopoulou,Christian Pötzsche,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
发表于 2025-3-25 01:35:08
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