CONTROL OF ANOMALOUS TRANSPORT AND STICKINESS IN HAMILTONIAN SYSTEMS
Taline Suellen Kruger Kruger1; Paulo Paneque Galuzio Galuzio1; Thiago de Lima Prado Prado1; Ricardo Luiz Viana Viana1; osé Danilo Szezech Jr Szezech2; Sergio Roberto Lopes Lopes1
1 Universidade Federal do Parana; 2 Universidade Estadual de Ponta Grossa
Resumo
We study how hyperbolic and nonhyperbolic regions in the neighborhood of a resonant island perform an important role allowing or forbidding stickiness phenomenon around islands in conservative systems. The vicinity of the island is composed of nonhyperbolic areas hat almost prevent the trajectory to visit the island edge. For some parameters, there are tiny channels embedded in the nonhyperbolic area that are associated to hyperbolic fixed points localized in the neighborhood of the islands. Such channels allow the trajectory to be injected in the inner portion of the vicinity. When the trajectory crosses the barrier imposed by the nonhyperbolic regions, it spends a long time to abandon the surrounding of the island, since the barrier also prevents the trajectory to escape from the neighborhood of the island. In this scenario the nonhyperbolic structures are the responsible for the stickiness phenomena, and more than that, the strength of the sticky effect. We reveal that those properties of the phase space allow us to manipulate the existence of extreme events (and the transport associated to it) responsible for the non equilibrium fluctuation of the system.
Palavras-chave: stickiness phenomenon; anomalous transport; extreme events