Baroni R Simile, Egydio de Carvalho R
Universidade Estadual Paulista-UNESP, Instituto de Geociências e Ciências Exatas-IGCE, Departamento de Estatística, Matemática Aplicada e Ciências da Computação, Rio Claro-SP 13506-900, Brazil.
Phys Rev E. 2021 Jul;104(1-1):014207. doi: 10.1103/PhysRevE.104.014207.
We consider a dissipative version of the standard nontwist map. It is known that nontwist systems may present a robust transport barrier, called shearless curve, that gives rise to an attractor that retains some of its properties when dissipation is introduced. This attractor is known as shearless attractor, and it may be quasiperiodic or chaotic depending on the control parameters. We describe a route for the destruction and resurgence of the quasiperiodic shearless attractor by analyzing the manifolds of the unstable periodic orbits (UPOs) which are fixed points of the map. We show that the shearless attractor is destroyed by a collision with the UPOs and it resurges after the reconnection of the unstable manifolds of different UPOs.
我们考虑标准非扭转映射的一个耗散版本。已知非扭转系统可能会出现一种稳健的输运屏障，称为无剪切曲线，它会产生一个吸引子，当引入耗散时，该吸引子仍保留其一些特性。这个吸引子被称为无剪切吸引子，根据控制参数的不同，它可能是准周期的或混沌的。我们通过分析作为映射不动点的不稳定周期轨道（UPO）的流形，描述了准周期无剪切吸引子的破坏和复苏途径。我们表明，无剪切吸引子通过与UPO的碰撞而被破坏，并且在不同UPO的不稳定流形重新连接后复苏。
