Abstract
Existence and stability problems for relay systems were examined in many research papers, but local methods that play an important role in deep understanding of dynamics have not yet been sufficiently developed. In this paper, we introduce the concept of the monodromy matrix for a cycle and state an analog of the Andronov–Hopf bifurcation theorem.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 85, Proceedings of the International Conference on Differential Equations and Dynamical Systems (Suzdal, June 26–July 2, 2008), 2012.
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Chernysheva, O.A. Andronov–Hopf Bifurcation Theorem for Relay Systems. J Math Sci 200, 134–142 (2014). https://doi.org/10.1007/s10958-014-1911-2
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DOI: https://doi.org/10.1007/s10958-014-1911-2