FIG. 8. Attractor and chaotic saddles (..) amplified around three bands of the chaotic attractor. The global chaotic saddle is colored blue, and the local chaotic saddle is colored red. The attractors are colored black.
AA << consider a dissipative version of the standard nontwist map. Nontwist systems present a robust transport barrier, called the shearless curve, that becomes the shearless attractor when dissipation is introduced. This attractor can be regular or chaotic depending on the control parameters. Chaotic attractors can undergo sudden and qualitative changes as a parameter is varied. These changes are called crises, and at an interior crisis the attractor suddenly expands. Chaotic saddles are nonattracting chaotic sets that play a fundamental role in the dynamics of nonlinear systems, they are responsible for chaotic transients, fractal basin boundaries, chaotic scattering and they mediate interior crises. >>
<< In this work (AA) discuss the creation of chaotic saddles in a dissipative nontwist system and the interior crises they generate. (They) show how the presence of two saddles increase the transient times and analyze the phenomenon of crisis induced intermittency. >>️
Rodrigo Simile Baroni, Ricardo Egydio de Carvalho, et al. Chaotic saddles and interior crises in a dissipative nontwist system. arXiv: 2211.06921v1 [nlin.CD]. Nov 13, 2022.
Also
keyword 'intermittency' in FonT
keyword 'dissipation' in FonT
keyword 'saddle' in FonT
keyword 'chaos' | 'chaotic' in Font
keyword 'caos' | 'caotico' in Notes (quasi-stochastic poetry)
Keywords: gst, transitions, dissipation,
dissipative systems, chaos, saddle, chaotic saddle, crisis, interior crisis, intermittency
