O. Makarenkov, F. Verhulst
Published 2009-09-24Version 1
We use an averaging approach to prove bifurcation of asymptotically stable periodic solutions in a bi-linear oscillator whose one spring has nearly infinite stiffness. This leads to a singularly perturbed problem where the classical theory does not apply.
Domain of attraction of asymptotically stable periodic solutions obtained via averaging principle
Bifurcations from nondegenerate families of periodic solutions
Methods of topological degree theory in Malkin I. G. - Melnikov V. K.'s problems for periodically perturbed systems
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