Heteroclinic period blow-up in certain symmetric ordinary differential equations

DOI10.1007/BF00916645zbMath0871.34029OpenAlexW2023576963MaRDI QIDQ2564740

Michal Fečkan, Flaviano Battelli

Publication date: 29 September 1997

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00916645

zbMATH Keywords

periodic solutionheteroclinic orbitMelnikov functionsingularly perturbed non-autonomous differential system

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

Forced symmetric oscillations of evolution equations

Cites Work

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• Transversal heteroclinic points and Cherry's example of a nonintegrable Hamiltonian system
• Global bifurcations and chaos. Analytical methods
• Homoclinic period blow-up in reversible and conservative systems
• Chaos in the Duffing equation
• Subharmonic solutions in singular systems

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