Multilayered tori in a system of two coupled logistic maps

DOI10.1016/J.PHYSLETA.2009.01.014zbMath1228.37039OpenAlexW2000760833MaRDI QIDQ653470

Zhanybai T. Zhusubaliyev, Erik Mosekilde

Publication date: 19 December 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.01.014

zbMATH Keywords

homoclinic bifurcationmultilayered torussymmetrically coupled logistic mapstorus destruction

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (11)

Noise-induced quasiperiodicity in a ring of unidirectionally-coupled nonidentical maps ⋮ Stochastic deformations of coupling-induced oscillatory regimes in a system of two logistic maps ⋮ Stochastic variability of regular and chaotic dynamics in 2D metapopulation model ⋮ Computing and controlling basins of attraction in multistability scenarios ⋮ Codimension-one and -two bifurcation analysis of a two-dimensional coupled logistic map ⋮ Torus destruction via global bifurcations in a piecewise-smooth, continuous map with square-root nonlinearity ⋮ From multi-layered resonance tori to period-doubled ergodic tori ⋮ Coexisting tori and torus bubbling in non-smooth systems ⋮ Bifurcation structure of the \(C\)-type period-doubling transition ⋮ Novel routes to chaos through torus breakdown in non-invertible maps ⋮ Chaotic transients, riddled basins, and stochastic transitions in coupled periodic logistic maps

Uses Software

• DSTool

Cites Work

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