Recurrence in non-autonomous dynamical systems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2019.1651849
Abstract: ABSTRACT We consider a sequence of continuous maps on a compact metric space X uniformly converging to a function f. This sequence forms a non-autonomous discrete dynamical system. In such case, the set of omega-limit… read more here.
Keywords: autonomous dynamical; recurrence non; non autonomous; dynamical systems ... See more keywords
Autonomous dynamical system approach for f(R) gravity
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review D"
DOI: 10.1103/physrevd.96.104049
Abstract: In this work we shall investigate the cosmological dynamical system of $f(R)$ gravity, by constructing it in such a way so that it is rendered autonomous. We shall study the vacuum $f(R)$ gravity case, but… read more here.
Keywords: autonomous dynamical; dynamical system; system; sitter ... See more keywords
Stability/Instability Study and Control of Autonomous Dynamical Systems: Divergence Method
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DOI: 10.1109/access.2021.3056942
Abstract: A novel method of instability and stability study of equilibrium points of autonomous dynamical systems using a flow and divergence of the vector field is proposed. A relation between the Lyapunov, Gauss (Ostrogradsky) and Chetaev… read more here.
Keywords: autonomous dynamical; instability; method; dynamical systems ... See more keywords
Divergence Method for Exponential Stability Study of Autonomous Dynamical Systems
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3172415
Abstract: The recent proposed divergence method is used for investigation of an exponential stability of autonomous dynamical systems. New necessary conditions are derived by using Divergence theorem. Taking into account the relation between gradient and divergence… read more here.
Keywords: autonomous dynamical; exponential stability; divergence method; divergence ... See more keywords