• Media type: E-Article
  • Title: Retracting fronts induce spatiotemporal intermittency
  • Contributor: Coullet, Pierre; Kramer, Lorenz
  • imprint: AIP Publishing, 2004
  • Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science
  • Language: English
  • DOI: 10.1063/1.1633372
  • ISSN: 1054-1500; 1089-7682
  • Keywords: Applied Mathematics ; General Physics and Astronomy ; Mathematical Physics ; Statistical and Nonlinear Physics
  • Origination:
  • Footnote:
  • Description: <jats:p>The intermittent route to spatiotemporal complexity is analyzed in simple models which display a subcritical bifurcation without hysteresis. A new type of spatiotemporal complex behavior is found, induced by fronts which “clean” the perturbations around an unstable state. The mechanism which generates these “retracting fronts” through nonlinear dispersion is analyzed in the frame of the complex Ginzburg–Landau equation. For sufficiently strong nonlinear dispersion the effects also occur for a supercritical bifurcation.</jats:p>