Panther
发表于 2025-3-23 11:48:24
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Affable
发表于 2025-3-23 17:48:11
Produktdesign: Materialeigenschaften,Saddle points for Euler schemes for ODEs are discussed. Numerical stable and unstable manifolds are illustrated through a set of examples, and compared to the stable and unstable manifolds of the ODEs. The shadowing phenomenon is briefly illustrated. Finally, Beyn’s Theorem is presented.
引起
发表于 2025-3-23 19:21:14
Ram K. Mishra,Glen B. Baker,Alan A. BoultonEuler schemes for dissipative ODE systems with attractors are presented and shown to possess numerical attractors that converge to the ODE attractors upper semi continuously. A counterexample shows that the numerical attractor need not convergence lower semi continuously.
EXCEL
发表于 2025-3-23 22:21:50
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有害处
发表于 2025-3-24 04:03:18
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Isolate
发表于 2025-3-24 09:56:12
Stephanie J. Walker,H. Alex BrownNonautonomous dynamical systems and their omega limit sets are defined. The concepts of positive and negative asymptotic invariance are defined. The omega limit sets for dissipative nonautonomous dynamical systems are shown to be positive and negative asymptotic invariant under certain conditions.
Immunotherapy
发表于 2025-3-24 12:48:07
https://doi.org/10.1385/1592594301Numerical nonautonomous omega limit sets for nonautonomous ODEs are constructed by using the implicit Euler scheme and shown to converge to the omega limit sets for the ODEs upper semi continuously.
庇护
发表于 2025-3-24 17:57:23
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Mingle
发表于 2025-3-24 21:54:44
Patricia M. Hinkle,John A. PuskasPullback and forward attractors for skew product flows are introduced, then the implicit Euler numerical scheme is applied to obtain a discrete time skew product flow. Existence of a numerical attractor for this discrete time skew product flow is established for sufficiently small step size.
胖人手艺好
发表于 2025-3-25 00:29:07
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