Reactive dynamics of inertial particles in nonhyperbolic chaotic flows

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dc.creatorMotter, Adilson E.
dc.creatorLai, Ying-Cheng
dc.creatorGrebogi, Celso
dc.date2003-11-26
dc.date.accessioned2026-07-07T05:35:08Z
dc.date.available2026-07-07T05:35:08Z
dc.descriptionAnomalous kinetics of infective (e.g., autocatalytic) reactions in open, nonhyperbolic chaotic flows are important for many applications in biological, chemical, and environmental sciences. We present a scaling theory for the singular enhancement of the production caused by the universal, underlying fractal patterns. The key dynamical invariant quantities are the effective fractal dimension and effective escape rate, which are primarily determined by the hyperbolic components of the underlying dynamical invariant sets. The theory is general as it includes all previously studied hyperbolic reactive dynamics as a special case. We introduce a class of dissipative embedding maps for numerical verification.
dc.descriptionRevtex, 5 pages, 2 gif figures
dc.identifierhttps://arxiv.org/abs/nlin/0311056
dc.identifierhttp://arxiv.org/abs/nlin/0311056
dc.identifierPhys. Rev. E 68, 056307 (2003)
dc.identifierdoi:10.1103/PhysRevE.68.056307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80611
dc.subjectChaotic Dynamics
dc.subjectPattern Formation and Solitons
dc.subjectPopulations and Evolution
dc.subjectQuantitative Methods
dc.titleReactive dynamics of inertial particles in nonhyperbolic chaotic flows
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