Exponential dichotomies in linear systems with a small parameter

DOI10.1216/rmjm/1181072162zbMath0851.34009OpenAlexW2068044368MaRDI QIDQ1915739

Weiyao Zeng

Publication date: 1 July 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072162

zbMATH Keywords

exponential dichotomylinear equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

Exponential dichotomies and Melnikov functions for singularly perturbed systems

Cites Work

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• Transversal heteroclinic points and Cherry's example of a nonintegrable Hamiltonian system
• Chaos in the Duffing equation
• Existence of dichotomies and invariant splittings for linear differential systems. I
• Almost periodic differential equations
• Dichotomies in stability theory
• The structurally stable linear systems on the half-line are those with exponential dichotomies
• Exponential dichotomies and transversal homoclinic points
• Melnikov Transforms, Bernoulli Bundles, and Almost Periodic Perturbations
• Homoclinic Solutions for Autonomous Dynamical Systems in Arbitrary Dimension

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