The coexistence and evolution of attractors in the web map with weak dissipation

2013/02/21 by A. V. Savin, Savin, A. V., Dmitry V. Savin +2
Computer Science · Mathematics · Physics and Astronomy · #37C70 #70K05 #Attractor #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #Dissipation #FOS: Physical sciences #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #msc:37C70 #msc:70K05 #nlin.CD

paper · pdf · doi:10.48550/arxiv.1302.5361

arxiv created 2013/02/21 · openalex publication_date 2013/02/21 · arxiv updated 2013/02/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The dynamics of the web map with weak linear dissipation is studied. The evolution of the coexisting attractors and the structure of their basins while changing the dissipation and nonlinearity are revealed. It is shown that the structure of the basins remains the same when the dissipation and nonlinearity changes simultaneously.

Citations

• Bifurcations and chaos in semiconductor superlattices with a tilted magnetic field

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