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Clustering and diffusion in a symplectic map lattice with non-local coupling

Author

Listed:
  • Woellner, C.F.
  • Lopes, S.R.
  • Viana, R.L.
  • Caldas, I.L.

Abstract

We study a symplectic chain with a non-local form of coupling by means of a standard map lattice where the interaction strength decreases with the lattice distance as a power-law, in such a way that one can pass continuously from a local (nearest-neighbor) to a global (mean-field) type of coupling. We investigate the formation of map clusters, or spatially coherent structures generated by the system dynamics. Such clusters are found to be related to stickiness of chaotic phase-space trajectories near periodic island remnants, and also to the behavior of the diffusion coefficient. An approximate two-dimensional map is derived to explain some of the features of this connection.

Suggested Citation

  • Woellner, C.F. & Lopes, S.R. & Viana, R.L. & Caldas, I.L., 2009. "Clustering and diffusion in a symplectic map lattice with non-local coupling," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2201-2215.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2201-2215
    DOI: 10.1016/j.chaos.2008.08.026
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