From multi-layered resonance tori to period-doubled ergodic tori

DOI10.1016/j.physleta.2010.04.022zbMath1237.70070OpenAlexW2068401694MaRDI QIDQ415095

Erik Mosekilde, Jakob L. Laugesen, Zhanybai T. Zhusubaliyev

Publication date: 11 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.04.022

zbMATH Keywords

bifurcation structureforced period-doubling systemsmulti-dimensional dynamicsmulti-layered toritorus-doubling bifurcationstransverse period-doubling cascades

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (4)

Scenarios for the creation of hyperchaotic attractors in 3D maps ⋮ Dynamics of coupled generators of quasiperiodic oscillations: different types of synchronization and other phenomena ⋮ Chaos and hyperchaos via secondary Neimark-Sacker bifurcation in a model of radiophysical generator ⋮ Chaos after Accumulation of Torus Doublings

Cites Work

• Multilayered tori in a system of two coupled logistic maps
• Birth of bilayered torus and torus breakdown in a piecewise-smooth dynamical system
• Novel routes to chaos through torus breakdown in non-invertible maps
• Phase synchronization of chaotic oscillators by external driving
• A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos
• PHASE SYNCHRONIZATION OF CHAOS IN A PLASMA DISCHARGE TUBE
• Doubling of Torus
• "CROSSROAD AREA–SPRING AREA" TRANSITION (I) PARAMETER PLANE REPRESENTATION
• Transition to synchronized chaos via suppression of the natural dynamics

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