嘴唇可修剪 发表于 2025-3-26 21:14:23
Notions of Attractivity and Bifurcation,for nonautonomous dynamical systems. By a bifurcation and transition, a qualitative change of attractivity or repulsivity is meant. Due to the nonautonomous framework, it is distinguished between four distinct points of view concerning di.erent time domains. The notions of attractivity and repulsivi共同确定为确 发表于 2025-3-27 01:23:05
Nonautonomous Morse Decompositions,s intersections of attractors and repellers. In this chapter, nonautonomous generalizations of the Morse decomposition are established with respect to the notions of past and future attractivity and repulsivity. The dynamical properties of these decompositions are discussed, and nonautonomous LyapunValves 发表于 2025-3-27 05:39:14
LinearSystems,ues requires linear theory. This is due to the fact that in many cases, stability properties of solutions can be derived from the linearization along the solution, the so-called variational equation. In this chapter, methods are provided for the analysis of linear systems with respect to the notions揭穿真相 发表于 2025-3-27 13:26:48
Nonlinear Systems,r an equilibrium, a periodic solution or—in the nonautonomous context—an arbitrary solution. The construction of stable and unstable invariant manifolds goes back to . and . . In the sequel, the theory was extended from hyperbolic to nonhyperbolic systems, from finite to infinite dimension拔出 发表于 2025-3-27 14:46:51
Bifurcations in Dimension One,pitchfork bifurcation, both for nonautonomous bifurcations and transitions..In this chapter, only the continuous case of ordinary differential equations is treated. For analogous results in the context of difference equations, see . .airborne 发表于 2025-3-27 19:40:40
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