Application of Graph Theory to the Synchronization in an Array of Coupled Nonlinear Oscillators

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

Volumn 42, Issue 8, 1995, Pages 494-497

  Wu, Chai Wah ^a   Chua, Leon O ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ARRAYS; ELECTRIC RESISTANCE; OSCILLATORS (ELECTRONIC); RESISTORS; SPECTRUM ANALYSIS; SYNCHRONIZATION;

ALGEBRAIC GRAPH THEORY; CHUA OSCILLATORS; CONNECTIVITY GRAPH; COUPLED NONLINEAR OSCILLATORS; COUPLING CONDUCTANCE;

GRAPH THEORY;

EID: 0029357742     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.404064     Document Type: Article

References (9)

1. C. W. Wu and L. O. Chua, “Synchronization in an array of linearly coupled dynamical systems,” IEEE Trans. Circuit Syst.-I, this issue, pp. 430-447.
2. M. Fiedler, “Algebraic connectivity of graphs,” Czech. Math. J., vol. 23, no. 98, pp. 298–305, 1973.
3. M. Fiedler, “An algebraic approach to connectivity of graphs,” in Recent Advances in Graph Theory: Proc. Symp. Held in Prague„ June 1974, M. Fiedler Ed. Praha: Czech. Acad. Sci., 1975, pp. 193-196.
4. C. W. Wu and L. O. Chua, “A unified framework for synchronization and control of dynamical sytems,” Int. J. Bifurcation Chaos, vol. 4, no. 4, pp. 979–998, 1994.
5. B. Mohar, “Isoperimetric numbers of graphs,” J. Combinational Theory, Series B, vol. 47, pp. 274–291, 1989.
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7. D. M. Cvetković, M. Doob, and H. Sachs, Spectra of Graphs. New York: Academic, 1979.
8. N. Biggs, Algebraic Graph Theory, 2nd ed. Cambridge: Cambridge Univ. Press, 1993.
9. C. W. Wu and L. O. Chua, “A simple way to synchonize chaotic systems with applications to secure communication systems,” Int. J. Bifurcation Chaos, vol. 3, no. 6, pp. 1619–1627, 1993.