Spatiotemporal dynamics

    This work begins the challenging project of understanding the periodic solutions, and hence hopefully the dynamics, of systems with many spatially separated degrees of freedom. Potential applications include models of ecology, molecular dynamics and field theory.

  1. Stable synchronised states of coupled Tchebyscheff maps, C. P. Dettmann, Physica D 172 88-102 (2002). ps.gz(1.3M when uncompressed) animation (0.3M) arxiv
  2. Lyapunov spectra of periodic orbits for a many-particle system, T. Taniguchi, C. P. Dettmann and G. P. Morriss, J. Stat. Phys. 109 747-764 (2002). pdf ps.gz(1.0M when uncompressed). arxiv
  3. Periodic orbit theory of two coupled Tchebyscheff maps, C. P. Dettmann and D. Lippolis, Chaos, Solitons and Fractals 23 43-54 (2005). ps pdf arxiv

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