DOSE 发表于 2025-3-25 05:06:33

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要塞 发表于 2025-3-25 08:33:16

Nonautonomous Morse Decompositions, the notions of past and future attractivity and repulsivity. The dynamical properties of these decompositions are discussed, and nonautonomous Lyapunov functions which are constant on the Morse sets are constructed explicitly. Furthermore, Morse decompositions of one-dimensional and linear systems are analyzed.

DEBT 发表于 2025-3-25 14:30:52

LinearSystems,the solution, the so-called variational equation. In this chapter, methods are provided for the analysis of linear systems with respect to the notions of attractivity and repulsivity which have been introduced in Chapter 2.

AVID 发表于 2025-3-25 17:37:58

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fibula 发表于 2025-3-25 22:44:36

0075-8434 near and nonlinear systems are derived, and nonautonomous counterparts of the classical one-dimensional autonomous bifurcation patterns are developed..978-3-540-71224-4978-3-540-71225-1Series ISSN 0075-8434 Series E-ISSN 1617-9692

Morose 发表于 2025-3-26 03:58:19

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印第安人 发表于 2025-3-26 05:18:53

Book 2007seful to describe the global asymptotic behavior of systems on compact phase spaces. Furthermore, methods from the qualitative theory for linear and nonlinear systems are derived, and nonautonomous counterparts of the classical one-dimensional autonomous bifurcation patterns are developed..

overweight 发表于 2025-3-26 10:24:45

Direct Cortical Stimulation and fMRIty—and for this reason also the notions of bifurcation and transition—are introduced for the past (past attractivity and repulsivity), the future (future attractivity and repulsivity), the entire time (all-time attractivity and repulsivity) and the present (finite-time attractivity and repulsivity) of the system.

addition 发表于 2025-3-26 14:45:45

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beta-carotene 发表于 2025-3-26 18:15:43

Introduction,onian mechanics, in other natural sciences and even in an economical and social context, these laws are given implicitly by a relation that determines the state of a system for all future times just by the knowledge of the present state. A dynamical system therefore consists of the following two com
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查看完整版本: Titlebook: Attractivity and Bifurcation for Nonautonomous Dynamical Systems; Martin Rasmussen Book 2007 Springer-Verlag Berlin Heidelberg 2007 Nonaut