Displaying similar documents to “Nonlinearities in a second order ODE.”

Bifurcation of periodic and chaotic solutions in discontinuous systems

Michal Fečkan (1998)

Archivum Mathematicum

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Chaos generated by the existence of Smale horseshoe is the well-known phenomenon in the theory of dynamical systems. The Poincaré-Andronov-Melnikov periodic and subharmonic bifurcations are also classical results in this theory. The purpose of this note is to extend those results to ordinary differential equations with multivalued perturbations. We present several examples based on our recent achievements in this direction. Singularly perturbed problems are studied as well. Applications...

New results on periodic solutions for a kind of Rayleigh equation

Mei-Lan Tang, Xin-Ge Liu, Xin-Bi Liu (2009)

Applications of Mathematics

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The paper deals with the existence of periodic solutions for a kind of non-autonomous time-delay Rayleigh equation. With the continuation theorem of the coincidence degree and a priori estimates, some new results on the existence of periodic solutions for this kind of Rayleigh equation are established.