Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-11-26
Phys. Rev. E 68, 056307 (2003)
Nonlinear Sciences
Chaotic Dynamics
Revtex, 5 pages, 2 gif figures
Scientific paper
10.1103/PhysRevE.68.056307
Anomalous 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.
Grebogi Celso
Lai Ying-Cheng
Motter Adilson E.
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