Random periodic solutions of random dynamical systems
Copyright policy )Random periodic solutions of random dynamical systems
In this paper, we give the definition of the random periodic solutions of random dynamical systems. We prove the existence of such periodic solutions for a $C^1$ perfect cocycle on a cylinder using a random invariant set, the Lyapunov exponents and the pullback of the cocycle.
- Academy of Mathematics and Systems Science China (People's Republic of)
- Chinese Academy of Science (中国科学院) China (People's Republic of)
- Chinese Academy of Sciences China (People's Republic of)
- Department of Mathematical Sciences Loughborough University United Kingdom
- Chinese Academy of Sciences (中国科学院) China (People's Republic of)
random dynamical system, Probability (math.PR), perfect cocycle, Random periodic solution, General theory of random and stochastic dynamical systems, Random dynamical system, invariant set, Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, random periodic solution, Perfect cocycle, Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents, FOS: Mathematics, Invariant set, Lyapunov exponent, Analysis, Mathematics - Probability
random dynamical system, Probability (math.PR), perfect cocycle, Random periodic solution, General theory of random and stochastic dynamical systems, Random dynamical system, invariant set, Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, random periodic solution, Perfect cocycle, Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents, FOS: Mathematics, Invariant set, Lyapunov exponent, Analysis, Mathematics - Probability
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