New insights into a chaotic system with only a Lyapunov stable equilibrium
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6619
Abstract: This paper gives some new insights into a chaotic system. The considered system has only one Lyapunov stable equilibrium and positive Lyapunov exponent in some certain parameter range, which means there coexists chaotic attractors and… read more here.
Keywords: chaotic system; system; stable equilibrium; new insights ... See more keywords
Extended stable equilibrium invaded by an unstable state
Sign Up to like & getrecommendations! Published in 2019 at "Scientific Reports"
DOI: 10.1038/s41598-019-51064-5
Abstract: Coexistence of states is an indispensable feature in the observation of domain walls, interfaces, shock waves or fronts in macroscopic systems. The propagation of these nonlinear waves depends on the relative stability of the connected… read more here.
Keywords: state; extended stable; equilibrium invaded; unstable state ... See more keywords
Stable equilibrium point and oscillatory motion of the Universe in a model with variable vacuum energy
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DOI: 10.1103/physrevd.95.043522
Abstract: We discuss the mechanism by which the field vacuum energy varies as a result of strong self-interaction. We propose a non-perturbative approach to treat strong interactions and discuss the problem in terms of quasi-particles describing… read more here.
Keywords: field; vacuum energy; vacuum; equilibrium point ... See more keywords
Jacobi Stability of Simple Chaotic Systems with One Lyapunov Stable Equilibrium
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Computational and Nonlinear Dynamics"
DOI: 10.1115/1.4050954
Abstract: This paper presents Jacobi stability analysis of 23 simple chaotic systems with only one Lyapunov stable equilibrium by Kosambi-Cartan-Chern (KCC) theory, and analyzes the chaotic behavior of these systems from the geometric viewpoint. Different from… read more here.
Keywords: lyapunov; lyapunov stable; equilibrium; stability ... See more keywords