Transport Properties in Nontwist Area-Preserving Maps

Szezech, J. D.
Caldas, I. L.
Lopes, S. R.
Viana, R. L.
Morrison, P. J.
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Nontwist systems, common in the dynamical descriptions of fluids and plasmas, possess a shearless curve with a concomitant transport barrier that eliminates or reduces chaotic transport, even after its breakdown. In order to investigate the transport properties of nontwist systems, we analyze the barrier escape time and barrier transmissivity for the standard nontwist map, a paradigm of such systems. We interpret the sensitive dependence of these quantities upon map parameters by investigating chaotic orbit stickiness and the associated role played by the dominant crossing of stable and unstable manifolds. (C) 2009 American Institute of Physics. [doi: 10.1063/1.3247349]

Szezech Jr, J. D., Ibere Luiz Caldas, Sergio Roberto Lopes, Ricardo Luiz Viana, and Philip James Morrison. "Transport properties in nontwist area-preserving maps." Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 19, No. 4 (Dec., 2009): 043108.