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Hyperbolic Periodic Orbits of Ordinary Differential Equations, Stable and Unstable Manifolds and Asum point. To some extent, we can reduce the study of a periodic solution to that of the fixed point of a diflfeomorphism by using the . map. However, first we begin by recalling a few elementary facts from the theory of ordinary differential equations.Systemic 发表于 2025-3-22 08:25:12
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Symbolic Dynamics Near a Transversal Homoclinic Orbit of a System of Ordinary Differential Equationble manifold W.(.) and the unstable manifold ..(.). If .. satisfies the transversality condition .then we know from Theorem 8.2 that the set .is hyperbolic. Now we state our main theorem, which uses symbolic dynamics to describe the solutions of Eq.(l) which remain in a neighbourhood of the set .合并 发表于 2025-3-22 15:55:38
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Hyperbolic Periodic Orbits of Ordinary Differential Equations, Stable and Unstable Manifolds and Asn Chapters 1 through 5. It turns out that the object analogous to the fixed point of a diflfeomorphism is a periodic solution rather than an equilibrium point. To some extent, we can reduce the study of a periodic solution to that of the fixed point of a diflfeomorphism by using the . map. However,