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arXiv · 2206.12734

Bifurcation and chaos in one dimensional chains of small particles

Fabiano C. Simas·K. Z. Nobrega·D. Bazeia
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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.

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Fabiano C. Simas, K. Z. Nobrega, D. Bazeia. 2022-06-25. Bifurcation and chaos in one dimensional chains of small particles. https://doi.org/10.1016/j.chaos.2022.112387

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