Taming chaos in a driven josephson junction

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 11, Issue 7, 2001, Pages 1897-1909

  Chacon R ^a   Palmero, F ^b   Balibrea, F ^c  

^a UNIVERSITY OF EXTREMADURA   (Spain)

^b UNIVERSITY OF SEVILLE   (Spain)

^c UNIVERSITY OF MURCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041030940     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127401003073     Document Type: Article

References (20)

1. Azevedo, A. & Rezende, S. M. [1991] "Controlling chaos in spin-wave instabilities," Phys. Rev. Lett. 66, 1342-1345.
2. Barone, A. & Paterno, G. [1982] Physics and Applications of the Josephson Effect (Wiley, NY).
3. Bartuccelli, M., Christiansen, P. L., Pedersen, N. F. & Soerensen, M. P. [1986] "Prediction of chaos in a Josephson junction by the Melnikov-function technique," Phys. Rev. B33, 4686-4691.
4. Braiman, Y. & Goldhirsch, I. [1991] "Taming chaotic dynamics with weak periodic perturbations," Phys. Rev. Lett. 66, 2545-2548.
5. Chacón, R. [1995a] ́Suppression of chaos by selective resonant parametric perturbations,́ Phys. Rev. E51, 761-764.
6. Chacón, R. [1995b] "Natural symmetries and regularization by means of weak parametric modulations in the forced pendulum," Phys. Rev. E52, 2330-2337.
7. Chacón, R., Balibrea, F. & López, M. A. [1996] "Inhibition of chaotic escape from a potential well using small parametric perturbations," J. Math. Phys. 37(11), 5518-5523.
8. Chacón, R. [1999] "General results on chaos suppression for biharmonically driven dissipative systems," Phys. Lett. A257, 293-300.
9. Cicogna, G. & Fronzoni, L. [1993] "Modifying the onset of homoclinic chaos: Application to a bistable potential," Phys. Rev. E47, 4585-4588.
10. Colet, P. & Braiman, Y. [1996] "Control of chaos in multimode solid state lasers by the use of small periodic perturbations," Phys. Rev. E53, 200-206.
11. Gradshteyn, I. & Ryzhik, I. [1994] Table of Integrals, Series and Products (Academic, NY).
12. Guckenheimer, J. & Holmes, P. [1983] Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields (Springer-Verlag, NY), Chap. 4, pp. 166-226.
13. Lichtenberg, A. J. & Lieberman, M. A. [1983] Regular and Stochastic Motion (Springer-Verlag, NY), Chap. 7, pp. 426-434.
14. Meucci, R., Gadomski, W., Ciofini, M. & Arecchi, F. T. [1994] "Experimental control of chaos by means of weak parametric perturbations," Phys. Rev. E49, R2528-R2531.
15. Palmero, F. & Romero Romero, F. [1991] "Interior crisis and symmetries in a driven Josephson junction," Phys. Lett. A160, 553-558.
16. Palmero, F. & Romero Romero, F. [1993] "Crisis and transient chaos in a driven Josephson junction," Phys. Lett. A179, 337-342.
17. Roy, R., Murphy, T. W., Maier, T. D. & Gills, Z. [1992] "Dynamical control of a chaotic laser: Experimental stabilization of a global coupled system," Phys. Rev. Lett. 68, 1259-1262.
18. Schecter, S. [1987] "Melnikov's method at a saddle-node and the dynamics of the forced Josephson junction," SIAM J. Math. Anal. 18, 1699-1715.
19. Vohra, S. T., Fabiny, L. & Bucholtz, F. [1995] "Suppressed and induced chaos by near resonant perturbation of bifurcations," Phys. Rev. Lett. 75, 65-68.
20. Wiggins, S. [1990] Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer-Verlag, Berlin), Chap. 4, pp. 483-519.