Published December 15, 1992
| Version v1
Journal article
Analysis and synthesis of synchronous periodic and chaotic systems
Creators
- 1. Department of Mechanical and Materials Engineering, Washington State University, Pullman, Washington 99164-2920 (United States)
Description
Chaotic systems are known for their sensitivity to initial conditions. However, Pecora and Carroll [Phys. Rev. Lett. 64, 821 (1990); Phys. Rev. A 44, 2374 (1991); IEEE Trans. Circuits Syst. 38, 453 (1991)] have recently shown that a system, consisting of two Lorenz oscillators exhibiting chaos, could achieve synchronization if a portion of the second system is driven by the first. In this paper, a necessary and sufficient condition for synchronization is presented. This condition has been used to create a high-dimensional chaotic system with a nonlinear subsystem. This system shows synchronization both when it exhibits periodic limit cycles and when it turns chaotic
Additional details
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 46
- Journal Issue
- 12
- Journal Page Range
- p. 7387-7392.
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 24027905
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY CONDITIONS; DYNAMICS; INSTABILITY; LYAPUNOV METHOD; NONLINEAR PROBLEMS; OSCILLATORS; SYNCHRONIZATION
- Descriptors DEC
- CALCULATION METHODS; ELECTRONIC EQUIPMENT; EQUIPMENT; MECHANICS