Bifurcation and chaos in one dimensional chains of small particles

Autor:	Simas, Fabiano C., Nobrega, K. Z., Bazeia, D.
Rok vydání:	2022
Předmět:	Nonlinear Sciences - Chaotic Dynamics Mathematical Physics
Zdroj:	Chaos, Solitons and Fractals 161 (2022) 112387
Druh dokumentu:	Working Paper
DOI:	10.1016/j.chaos.2022.112387
Popis:	This work deals with bifurcation and the chaotic behavior in one dimensional chains of small particles. We consider two distinct possibilities, one where the particles are modeled by a fourth-order potential which was already studied. We revisit this system and bring novelties concerning the presence of the three-armed star behavior and the study of the corresponding Lyapunov exponent. The other system is new, and there the particles are more involved and modeled by an eighth-order potential. We investigate this new system within the same approach, emphasizing the behavior of the orbits, the bifurcation profile and the corresponding Lyapunov exponent. Comment: Accepted for publication in Chaos, Solitons and Fractals
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.12734 Zobrazit plný text záznamu View this record from Arxiv