A FAST-MANIFOLD APPROACH TO MELNIKOV FUNCTIONS FOR SLOWLY VARYING OSCILLATORS

DOI10.1142/S021812749600093XzbMath0891.34036MaRDI QIDQ4346585

Steven W. Shaw, Shyh-Leh Chen

Publication date: 5 July 1998

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Melnikov functionslowly varying oscillatorfast invariant manifold

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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