ineluctable 发表于 2025-3-25 04:18:41
IntroductionThis chapter introduces the setting in which we shall study bifurcations without parameters. We compare it with classical bifurcation theory and give an overview and classification of the results presented in the following chapters.唤醒 发表于 2025-3-25 11:16:55
CosymmetriesCosymmetries have been introduced by Yudovich and Kurakin to study limit cycles near manifolds of equilibria via Lyapunov-Schmidt reduction . They turn out to be equivalent to the existence of manifolds of equilibria, provided some non-degeneracy conditions are satisfied.faultfinder 发表于 2025-3-25 14:14:05
http://reply.papertrans.cn/19/1856/185547/185547_23.png易受骗 发表于 2025-3-25 17:38:40
Poincaré-Andronov-Hopf BifurcationWithout parameters, no periodic orbits bifurcate. Depending on the drift condition, two cases appear. Both are discussed in this chapter.COLON 发表于 2025-3-25 21:58:45
http://reply.papertrans.cn/19/1856/185547/185547_25.pngLamina 发表于 2025-3-26 03:41:26
http://reply.papertrans.cn/19/1856/185547/185547_26.pngexigent 发表于 2025-3-26 07:05:43
http://reply.papertrans.cn/19/1856/185547/185547_27.png圆桶 发表于 2025-3-26 08:41:40
http://reply.papertrans.cn/19/1856/185547/185547_28.png悬挂 发表于 2025-3-26 16:20:09
https://doi.org/10.1007/978-3-319-10777-634C23,34C20,34C37,37G99,35B32; Bifurcation without parameters; Equilibria; Manifolds; Nonlinear dynamicaNebulizer 发表于 2025-3-26 20:18:14
http://reply.papertrans.cn/19/1856/185547/185547_30.png