Travelling waves in a circular array of Chua's circuits

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 6, Issue 3, 1996, Pages 473-484

  Nekorkin, Vladimir I ^a   Kazantsev, Victor B ^a   Velarde, Manuel G ^b  

^a LOBACHEVSKY STATE UNIVERSITY OF NIZHNY NOVGOROD   (Russian Federation)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030093396     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127496000199     Document Type: Article

References (19)

1. Abraham, F. A. [1993] "Spatiotemporal dynamics of an intrinsically chaotic field," Phys. Rev. E47, 1625-1628.
2. Afraimovich, V. S., Nekorkin, V. I., Osipov, G. V. & Shalfeev, V. D. [1995] Stability, Structures and Chaos in Nonlinear Synchronization Networks (World Scientific, Singapore).
3. Borisyuk, G. N., Borisyuk, R. M., Kazanovich, Ya. B., Lusyanina, T. B., Turova, T. S. & Cymbalyuk, G. S. [1992] "Oscillatory neural networks. Mathematics and applications," Mathematical Modeling 3(12), 65-67 (in Russian).
4. Christiansen, B., Alstorm, P. & Levinsen, M. [1992] "Collective dynamics of coupled modulated oscillators with random pinning," Physica D56, 23-35.
5. Christov, C. I. & Velarde, M. G. [1995] "Dissipative solitons," Physica D86, 323-347.
6. Dangelmayr, G. & Kirby, M. [1992] "On diffusively coupled oscillators," Int. Series of Numerical Mathematics 104, 85-97.
7. Defontaines, A.-D., Pomeau, Y. & Rostand, B. [1990] "Chain of coupled bistable oscillators: A model," Physica D46, 201-216.
8. Feng, X. & Loparo, K. A. [1992] "Chaotic motions and its probabilistic description in a family of two-dimensional nonlinear systems with hysteresis," J. Nonlin. Sci. 2, 418-452.
9. Greenfield, A., Pitterman, S. & Wright, W. [1994] "Observation of a localized chaotic structure in a nonlinear oscillatory lattice," Phys. Lett. A185, 321-326.
10. Nekorkin, V. I. & Chua, L. O. [1993] "Spatial disorder and wave fronts in a chain of coupled Chua's circuits," Int. J. Bifurcation and Chaos 3, 1282-1292.
11. Nekorkin, V. I. & Velarde, M. G. [1994] "Solitary wave soliton bound states and chaos in a dissipative Korteweg-de Vries equation," Int. J. Bifurcation and Chaos 4, 1135-1146.
12. Nekorkin, V. I. & Makarov, V. A. [1995] "Spatial chaos in a chain of coupled bistable oscillators," Phys. Rev. Lett. 74, 4819-4822.
13. Nekorkin, V. I., Kazantsev, V. B., Rulkov, N. F., Velarde, M. G. & Chua, L. O. [1995] "Homoclinic orbits and solitary waves in a one-dimensional array of Chua's circuits," IEEE Trans. Circuits Syst. 42, 785-801.
14. Perez-Munuzuri, V., Perez-Vilar, V. & Chua, L. O. [1993] "Travelling wave front and its failure in one-dimensional array of Chua's circuits," J. Circuits, Syst. Comput. 3, 215-229.
15. Perez-Munuzuri, V., Gomes Gesteira, M., Perez-Vilar, V. & Chua, L. O. [1993] "Travelling propagation in 1-D fluctuating medium," Int. J. Bifurcation and Chaos 3, 211-215.
16. Perez-Munuzuri, A., Perez-Munuzuri, V., Perez-Vilar, V. & Chua, L. O. [1993] "Spiral waves on a 2-D array of nonlinear circuits," IEEE Trans. Circuits Syst. 40, 872-877.
17. Rednikov, A. Ye., Velarde, M. G., Ryazantsev, Yu. S., Nepomnyaschy, A. A. & Kudyumov, V. N. [1995] "Cnoidal wave trains and solitary waves in a dissipation-modified Kortreweg-de Vries equation," Acta Appl. Math. 39, 457-475.
18. Velarde, M. G., Nekorkin, V. I. & Maksimov, A. G. [1995] "Further results on the evolution of solitary waves and their bound states of a dissipative Korteweg-de Vries equation," Int. J. Bifurcations and Chaos 5, 831-839.
19. Winfree, A. T. [1990] The Geometry of Biological Time (Springer, Berlin).