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We study the occurrence of bifurcations leading to the formation of asymmetric orbits and chaos in unforced relay feedback systems with a symmetric relay characteristic. We show that novel bifurcation mechanisms cause the formation of stable periodic solutions with segments of sliding motion. We then characterise the formation of asymmetric stable periodic solutions and detail the route to chaos exhibited...
This paper is concerned with the extension to the case of codimension-2 degenerate sliding bifurcations of the theory of sliding bifurcations in Filippov systems presented in [M. di Bernardo, P. Kowalczyk, A. Nordmark, Bifurcations of dynamical systems with sliding: derivation of normal form mappings, Physica D, 170 (2002) 175–205]. These bifurcations were detected in experimental systems such as...
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