American Institute of Mathematical Sciences

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

Homoclinics and complex dynamics in slowly oscillating systems

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

Received  January 1997 Revised  January 1998 Published  April 1998

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.
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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