Prevalent behavior of smooth strongly monotone discrete-time dynamical systems
Copyright policy )Prevalent behavior of smooth strongly monotone discrete-time dynamical systems
For C 1 C^{1} -smooth strongly monotone discrete-time dynamical systems, it is shown that “convergence to linearly stable cycles” is a prevalent asymptotic behavior in the measure-theoretic sense. The results are then applied to several classes of time-periodic parabolic equations and obtain the prevalence of convergence to periodic solutions.
- University of Science and Technology of China China (People's Republic of)
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, FOS: Mathematics, asymptotic behavior, Dynamical Systems (math.DS), Generic properties, structural stability of dynamical systems, Mathematics - Dynamical Systems, Monotone flows as dynamical systems, monotone discrete-time dynamical systems, time-periodic parabolic equations
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, FOS: Mathematics, asymptotic behavior, Dynamical Systems (math.DS), Generic properties, structural stability of dynamical systems, Mathematics - Dynamical Systems, Monotone flows as dynamical systems, monotone discrete-time dynamical systems, time-periodic parabolic equations
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