Nontwist non-Hamiltonian systems

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.

7 pages, 5 figures

References in corpus (5)

• Meanders and Reconnection-Collision Sequences in the Standard Nontwist Map
• The Breakup Condition of Shearless KAM Curves in the Quadratic Map
• Indicators of Reconnection Processes and Transition to Global Chaos in Nontwist Maps
• Separatrix Reconnections in Chaotic Regimes
• Renormalization and destruction of $1/{\gamma }^2$ tori in the standard nontwist map

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• Area-preserving maps models of gyro-averaged $\mathbf{E}\times \mathbf{B}$ chaotic transport
• Waveguides with Absorbing Boundaries: Nonlinearity Controlled by an Exceptional Point and Solitons
• Separation of particles leading to decay and unlimited growth of energy in a driven stadium-like billiard
• Solitons in a Hamiltonian $PT$-symmetric coupler