Nontwist non-Hamiltonian systems

2006/02/07 by Eduardo G. Altmann, E. G. Altmann, G. Cristadoro +3 · 3 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.AO #nlin.CD

paper · pdf · doi:10.1103/physreve.73.056201

published as Phys. Rev. E 73 056201 (2006) · 7 pages, 5 figures

arxiv created 2006/02/07 · openalex publication_date 2006/05/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the nontwist phenomena previously observed in Hamiltonian systems exist also in time-reversible non-Hamiltonian systems. In particular, we study the two standard collision-reconnection scenarios and we compute the parameter space breakup diagram of the shearless torus. Besides the Hamiltonian routes, the breakup may occur due to the onset of attractors. We study these phenomena in coupled phase oscillators and in non-area-preserving maps.

Citations

• Renormalization and destruction of 1/γ2 tori in the standard nontwist map
• The Breakup Condition of Shearless KAM Curves in the Quadratic Map

Cited by

• Conservative dynamics in phase oscillator networks
• Solitons in a Hamiltonian P T -symmetric coupler
• Birkhoff averages and rotational invariant circles for area-preserving maps