Titlebook: Averaging Methods in Nonlinear Dynamical Systems; Jan A. Sanders,Ferdinand Verhulst,James Murdock Book 2007Latest edition Springer-Verlag

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Invariant Manifolds by Averaging,ms, a basic approach is to locate and to characterize the classical ingredients of such systems. These ingredients are critical points (equilibrium solutions), periodic solutions, invariant manifolds (in particular quasiperiodic tori), homoclinics, heteroclinics, and in general stable and unstable manifolds of special solutions.

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Applied Mathematical Scienceshttp://image.papertrans.cn/b/image/166957.jpg

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Averaging Methods in Nonlinear Dynamical Systems978-0-387-48918-6Series ISSN 0066-5452 Series E-ISSN 2196-968X

悬挂

https://doi.org/10.1007/978-3-642-94414-7eeping” of averaging calculations, averaging systems containing “slow time”, ways to remove the nonuniqueness of the averaging transformation, and the relationship between averaging and the method of multiple scales.

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https://doi.org/10.1007/978-3-642-48555-8ms, a basic approach is to locate and to characterize the classical ingredients of such systems. These ingredients are critical points (equilibrium solutions), periodic solutions, invariant manifolds (in particular quasiperiodic tori), homoclinics, heteroclinics, and in general stable and unstable manifolds of special solutions.

连锁

https://doi.org/10.1007/978-0-387-48918-6Dynamical; Methods; Nonlinear; Systems; bifurcation; differential equation; partial differential equation;

格言

978-1-4419-2376-9Springer-Verlag New York 2007

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