Abstract
We present an example on the chaotic behaviour of a 3-dimensional quasiperiodically perturbed discontinuous differential equation whose unperturbed part has a homoclinic orbit that is a solution homoclinic to a hyperbolic fixed point with a part belonging to a discontinuity plane. Melnikov type analysis is applied.
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F. Battelli was partially supported by G.N.A.M.P.A.–INdAM (Italy) and MURST (Italy).
M. Fečkan was partially supported by MURST (Italy) and by the Slovak Research and Development Agency under the contract No. APVV-0414-07.
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Battelli, F., Fečkan, M. An example of chaotic behaviour in presence of a sliding homoclinic orbit. Annali di Matematica 189, 615–642 (2010). https://doi.org/10.1007/s10231-010-0128-3
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DOI: https://doi.org/10.1007/s10231-010-0128-3