Differentiable generalized synchronization of chaos

Journal Article · Mon Mar 31 23:00:00 EST 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.55.4029· OSTI ID:560675

Hunt, B R; Ott, E; Yorke, J A ^[1]

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1. University of Maryland, College Park, Maryland 20742 (United States)

We consider simple Lyapunov-exponent-based conditions under which the response of a system to a chaotic drive is a {ital smooth} function of the drive state. We call this {ital differentiable generalized synchronization} (DGS). When DGS does not hold, we quantify the degree of nondifferentiability using the H{umlt o}lder exponent. We also discuss the consequences of DGS and give an illustrative numerical example. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 560675
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 4 Vol. 55; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COUPLING
DYNAMICS
LYAPUNOV METHOD
OSCILLATORS
RESPONSE FUNCTIONS
STOCHASTIC PROCESSES
SYNCHRONIZATION
chaos