Journal of Mathematical Sciences

, Volume 200, Issue 1, pp 134–142 | Cite as

Andronov–Hopf Bifurcation Theorem for Relay Systems

  • O. A. Chernysheva


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.


Unit Disk Hopf Bifurcation Monodromy Matrix Relay System Bifurcation Theorem 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Yaroslavl Demidov State UniversityYaroslavlRussia

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