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Published May 1987 | Published
Journal Article Open

Homoclinic Orbits In Slowly Varying Oscillators

Abstract

We obtain existence and bifurcation theorems for homoclinic orbits in three-dimensional flows that are perturbations of families of planar Hamiltonian systems. The perturbations may or may not depend explicitly on time. We show how the results on periodic orbits of the preceding paper are related to the present homoclinic results, and apply them to a periodically forced Duffing equation with weak feedback.

Additional Information

© 1987 Society for Industrial and Applied Mathematics. Received June 1, 1985; accepted for publication (in revised form) April 22, 1986; Published online February 17, 2012. This research was supported in part by the Air Force Office of Scientific Research under AFSOR 84-0051.

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August 22, 2023
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