Bifurcation and chaos in one dimensional chains of small particles

Fabiano C. Simas, K.Z. Nobrega and D. Bazeia

Chaos, Solitons & Fractals, 2022, vol. 161, issue C

Abstract: 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.

Keywords: Chains of small particles; Bifurcation and chaos (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005975

DOI: 10.1016/j.chaos.2022.112387

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