6533b85cfe1ef96bd12bc012

RESEARCH PRODUCT

Bifurcations in the Lozi map

J.m. CasteloJ A OteoJosé Luis Regidor RosV. Botella-soler

subject

Statistics and ProbabilityPhysicsContinuum (topology)FOS: Physical sciencesGeneral Physics and AstronomyFísicaStatistical and Nonlinear PhysicsNonlinear Sciences - Chaotic DynamicsNonlinear Sciences::Chaotic DynamicsModeling and SimulationAttractorLimit (mathematics)Chaotic Dynamics (nlin.CD)Mathematical PhysicsMathematical physicsLozi map

description

We study the presence in the Lozi map of a type of abrupt order-to-order and order-to-chaos transitions which are mediated by an attractor made of a continuum of neutrally stable limit cycles, all with the same period.

10.1088/1751-8113/44/30/305101http://arxiv.org/abs/1102.0034