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Nontwist non-Hamiltonian systems

E. G. Altmann*, G. Cristadoro†, and D. Pazó‡

  • Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany

  • *Electronic address: edugalt@pks.mpg.de
  • †Electronic address: giampo@pks.mpg.de
  • ‡Electronic address: pazo@pks.mpg.de
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Phys. Rev. E 73, 056201 – Published 3 May, 2006

DOI: https://doi.org/10.1103/PhysRevE.73.056201

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.

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Phys. Rev. E 73, 056201– Published 3 May, 2006
  • Received 7 February 2006

© 2006 American Physical Society

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