Bifurcation and chaos in one dimensional chains of small particles

• Published in: Chaos, solitons and fractals Vol. 161; p. 112387
• Main Authors: Simas, Fabiano C., Nobrega, K.Z., Bazeia, D.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01-08-2022
• Subjects: Bifurcation and chaos; Chains of small particles; Bifurcation and chaos; Chains of small particles
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2022.112387

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.