On the Detection and Dynamical Consequences of Orbits Homoclinic to Hyperbolic Periodic Orbits and Normally Hyperbolic Invariant Tori in a Class of Ordinary Differential Equations

DOI10.1137/0148013zbMath0658.34034OpenAlexW1985249099MaRDI QIDQ3807580

Stephen Wiggins

Publication date: 1988

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0148013

zbMATH Keywords

homoclinic orbitsSmale horseshoeshyperbolic invariant torihyperbolic periodic orbitsMelnikov's technique

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Local and nonlocal bifurcation theory for dynamical systems (37G99) Nonlinear dynamics in mechanics (70Kxx)

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