Homoclinics and complex dynamics in slowly oscillating systems

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July 1998, 4(3): 393-403. doi: 10.3934/dcds.1998.4.393

Homoclinics and complex dynamics in slowly oscillating systems

Antonio Ambrosetti ^1, and Massimiliano Berti ^1,

1.	Department of Mathematics, Scuola Normale Superiore, Pisa, 56100, Italy, Italy

Received January 1997 Revised January 1998 Published April 1998

Abstract
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This paper deals with a class of second order dynamical systems with slowly oscillating coefficients, see $(1)$. Using variational methods, perturbative in nature, we show that $(1)$ has multi-bump homoclinics and a complex dynamics.

Keywords: oscillating systems., Homoclinics and complex dynamics.

Mathematics Subject Classification: 58E05, 34C3.

Citation: Antonio Ambrosetti, Massimiliano Berti. Homoclinics and complex dynamics in slowly oscillating systems. Discrete & Continuous Dynamical Systems - A, 1998, 4 (3) : 393-403. doi: 10.3934/dcds.1998.4.393

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