Chaotic systems with a null conditional Lyapunov exponent under nonlinear driving.
Control of a chaotic system by homogeneous nonlinear driving, when a conditional Lyapunov exponent is zero, may give rise to special and interesting synchronizationlike behaviors in which the response evolves in perfect correlation with the drive. Among them, there are the amplification of the drive...
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| Format: | article |
| Status: | Published version |
| Publication Date: | 1996 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/18847 |
| Online Access: | https://hdl.handle.net/2445/18847 |
| Access Level: | Open access |
| Keyword: | Física estadística Termodinàmica Sistemes no lineals Caos (Teoria de sistemes) Dinàmica de fluids Electrònica Microones Statistical physics Thermodynamics Nonlinear systems Chaotic behavior in systems Fluid dynamics Electronics Microwaves |
| Summary: | Control of a chaotic system by homogeneous nonlinear driving, when a conditional Lyapunov exponent is zero, may give rise to special and interesting synchronizationlike behaviors in which the response evolves in perfect correlation with the drive. Among them, there are the amplification of the drive attractor and the shift of it to a different region 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 scroll [T. Matsumoto, L. O. Chua, and M. Komuro, IEEE Trans. CAS CAS-32, 798 (1985)]. |
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