Reactive dynamics of inertial particles in nonhyperbolic chaotic flows

Adilson E. Motter, Ying-Cheng Lai, Celso Grebogi

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


A scaling theory for the anomalous kinetics of infective reactions in nonhyperbolic chaotic flows was discussed. The theory was extended to the singular enhancement of the production caused by the universal, underlying fractal patterns. The effective fractal dimension and effective escape rate were considered as the key dynamical invariant quantities and were determined by the hyperbolic components of the dynamical invariant sets. The flow was simulated using a two-dimensional area-preserving map that had a pronounced nonhyperbolic character.

Original languageEnglish (US)
Article number056307
Pages (from-to)563071-563075
Number of pages5
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number5 2
StatePublished - Nov 1 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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