Transport properties in nontwist area-preserving maps [electronic resource].
Published
Washington, D.C. : United States. Dept. of Energy. Office of Science, 2009. Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
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.
Published through SciTech Connect. 10/23/2009. Chaos (Woodbury, N. Y.) 19 4 ISSN 1054-1500 AM Morrison, P. J.; Caldas, I. L.; Viana, R. L.; Lopes, S. R.; Szezech Jr., J. D. Instituto de Fisica, Universidade de Sao Paulo, Sao Paulo (Brazil)