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- W2895952073 abstract "We consider a Piecewise Deterministic Markov Process given by random switching between finitely many vector fields vanishing at $0$. It has been shown recently that the behaviour of this process is mainly determined by the signs of Lyapunov exponents. However, results have only been given when all these exponents have the same sign. In this note, we consider the degenerate case where the process leaves invariant some face and results are stated when the Lyapunov exponents are of opposite signs. Applications are given to Lorenz vector fields with switching, and to SIRS model in random environment." @default.
- W2895952073 created "2018-10-26" @default.
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- W2895952073 date "2018-10-15" @default.
- W2895952073 modified "2023-10-09" @default.
- W2895952073 title "Randomly switched vector fields sharing a zero on a common invariant face" @default.
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