Abstract
Melnikov’s method is presented for a general nonlinear vibro-impact oscillator, and Melnikov function for homoclinic orbits is obtained analytically. A Duffing vibro-impact oscillator is given to illustrate the application of the procedures. The obtained results are verified by the phase portrait, Poincaré surface of section and bifurcation diagrams.
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More From: Nonlinear Analysis: Theory, Methods & Applications
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