Robust attractor of non-twist systems

R. Egydio de Carvalho and C. Vieira Abud

Physica A: Statistical Mechanics and its Applications, 2015, vol. 440, issue C, 42-48

Abstract: We present a new kind of one-dimensional attractor, which has not yet been predicted in the non-linear dynamics theory. We consider a non-linear map, which presents typical non-twist manifestations, as isochronous resonances and shearless torus. It is known that this torus corresponds to a very sturdy barrier in the phase space of some area-preserving systems. We show that when dissipation is present in the system, the shearless curve carries its robustness to the dissipative scenario. It becomes a powerful attractor, which we call shearless attractor, which is persistent under the variation of the parameters and it exchanges its stability from chaotic to quasi-periodic, or vice-versa, depending on the set of parameters.

Keywords: Non-twist map; New attractor; Indicator points; Shearless; Shrimps (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:440:y:2015:i:c:p:42-48

DOI: 10.1016/j.physa.2015.08.008

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