[HTML][HTML] Dynamics alternatives and generic convergence for C1-smooth strongly monotone discrete dynamical systems
Y Wang, J Yao - Journal of Differential Equations, 2020 - Elsevier
Y Wang, J Yao
Journal of Differential Equations, 2020•ElsevierFor C 1-smooth strongly monotone discrete-time dynamical systems, we prove dynamics
alternatives, which concludes that any compact orbit is either asymptotic to a linearly stable
cycle; or manifestly unstable. For this purpose we improve several properties of the
exponential separation for continuous maps. The generic convergence to cycles is obtained
as a by-product of the dynamics alternatives.
alternatives, which concludes that any compact orbit is either asymptotic to a linearly stable
cycle; or manifestly unstable. For this purpose we improve several properties of the
exponential separation for continuous maps. The generic convergence to cycles is obtained
as a by-product of the dynamics alternatives.
For C 1-smooth strongly monotone discrete-time dynamical systems, we prove dynamics alternatives, which concludes that any compact orbit is either asymptotic to a linearly stable cycle; or manifestly unstable. For this purpose we improve several properties of the exponential separation for continuous maps. The generic convergence to cycles is obtained as a by-product of the dynamics alternatives.
Elsevier
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