CHAOTIC SYSTEMS WITH A NULL CONDITIONAL LYAPUNOV EXPONENT UNDER NONLINEAR DRIVING

Authors
GONZALEZMIRANDA JM
Citation
Jm. Gonzalezmiranda, CHAOTIC SYSTEMS WITH A NULL CONDITIONAL LYAPUNOV EXPONENT UNDER NONLINEAR DRIVING, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(1), 1996, pp. 5-8
Citations number
18
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
53
Issue
1
Year of publication
1996
Part
A
Pages
5 - 8
Database
ISI
SICI code
1063-651X(1996)53:1<5:CSWANC>2.0.ZU;2-R
Abstract
Control of a chaotic system by homogeneous nonlinear driving, when a c onditional Lyapunov exponent is zero, may give rise to special and int eresting synchronizationlike behaviors in which the response evolves i n perfect correlation with the drive. Among them, there are the amplif ication of the drive attractor and the shift of it to a different regi on of phase space. In this paper, these synchronizationlike behaviors are discussed, and demonstrated by computer simulation of the Lorentz model [E. N. Lorenz, J. Atmos. Sci. 20 130 (1963)] and the double scro ll [T. Matsumoto, L. O. Chua, and M. Komuro, IEEE Trans. CAS CAS-32, 7 98 (1985)].