Synchronization in coupled arrays of chaotic oscillators with nonreciprocal coupling

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 50, Issue 2, 2003, Pages 294-297

  Wu, Chai Wah ^a  

^a IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

Chaos; Convex programming; Coupled oscillators; Lyapunov exponents; Lyapunov functions; Nonlinear programming; Nonreciprocal coupling; Synchronization

Indexed keywords

CHAOS THEORY; COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC NETWORK TOPOLOGY; LINEARIZATION; LYAPUNOV METHODS; MATRIX ALGEBRA; NONLINEAR PROGRAMMING; THEOREM PROVING;

CHAOTIC OSCILLATOR; CONVEX PROGRAMMING; NONLINEAR OPTIMIZATION; NONRECIPROCAL COUPLING;

OSCILLATORS (ELECTRONIC);

EID: 0037301537     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2002.808215     Document Type: Article

References (8)

1. C. W. Wu and L. O. Chua, "Synchronization in an array of linearly coupled dynamical systems," IEEE Trans. Circuits Syst. I, vol. 42, pp. 430-447, Aug. 1995.
2. L. M Pecora and T. L. Carroll, "Master stability functions for synchronized chaos in arrays of oscillators," in Proc. 1998 IEEE Int. Symp. Circuits Systems, 1998, vol. 4, pp. IV-562-IV-567.
3. C. W. Wu, "Synchronization in arrays of coupled chaotic circuits and systems: Theory and applications," in Controlling Chaos and Bifurcations in Engineering Systems, G. Chen, Ed. Boca Raton, FL: CRC 1999, ch. 23.
4. ____, Synchronization in Coupled Chaotic Circuits and Systems. Singapore: World Scientific 2002.
5. L. Vandenberghe and S. Boyd, "A polynomial-time algorithm for determining quadratic Lyapunov functions for nonlinear systems," in Proc. Eur. Conf. Circuit Theory and Design, 1993, pp. 1065-1068.
6. R. Fletcher, Practical Methods of Optimization, 2nd ed. New York: Wiley 1987.
7. Y. Nesterov and A. Nemirovskii, "Interior-point polynomial algorithms in convex programming," in SIAM Studies in Applied Mathematics. Philadelphia, PA: SIAM, 1994, vol. 13.
8. G. W. Stewart and J.-G. Sun, Matrix Perturbation Theory. New York: Academic, 1990.