Coupling-induced resonance in two mutually and asymmetrically coupled oscillators

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 2, 2008, Pages

  Carr, Thomas W ^a  

^a SOUTHERN METHODIST UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFERENCE EQUATIONS; DIFFERENTIATION (CALCULUS); OSCILLATORS (MECHANICAL); RESONANCE;

BIFURCATION EQUATIONS; COUPLED OSCILLATORS; COUPLING CONSTANTS; FREQUENCY CORRECTION; INDEPENDENT CONTROL; LIMIT-CYCLE OSCILLATORS; MULTISTABILITY; NONLINEAR DISSIPATION; OSCILLATOR SYSTEMS; PHASE-ONLY;

OSCILLATORS (ELECTRONIC);

EID: 50149115356     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.026207     Document Type: Article

References (23)

1. T. W. Carr, M. L. Taylor, and I. B. Schwartz, Physica D PDNPDT 0167-2789 10.1016/j.physd.2005.10.015 215, 152 (2006).
2. T. W. Carr, I. B. Schwartz, M. Y. Kim, and R. Roy, SIAM J. Appl. Dyn. Syst. SJADAY 1536-0040 10.1137/050647918 5, 699 (2006).
3. D. Pieroux and P. Mandel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.056213 67, 056213 (2003).
4. D. Pieroux, T. Erneux, A. Gavrielides, and V. Kovanis, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/S0036139999360131 61, 966 (2000).
5. D. Pieroux, T. Erneux, and K. Otsuka, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.50.1822 50, 1822 (1994).
6. G. Ioos and D. D. Joseph, Elementary Stability and Bifurcation Theory (Springer-Verlag, New York, 1980).
7. B. J. Matkowski and E. L. Reiss, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/0133014 33, 230 (1977).
8. D. Dellwo, H. B. Keller, B. J. Matkowski, and E. L. Reiss, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/0142068 42, 956 (1982).
9. D. G. Aronson, G. B. Ermentrout, and N. Kopell, Physica D PDNPDT 0167-2789 10.1016/0167-2789(90)90007-C 41, 403 (1990).
10. S. H. Strogatz, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00094-4 143, 1 (2000).
11. B. Ermentrout and N. Koppell, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/0150009 50, 125 (1990).
12. R. Karnatak, R. Ramaswamy, and A. Prasad, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.035201 76, 035201 (R) (2007).
13. D. V. R. Reddy, A. Sen, and G. L. Johnston, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5109 80, 5109 (1998).
14. D. V. R. Reddy, A. Sen, and G. L. Johnston, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00004-4 129, 15 (1999).
15. R. Vicente, S. Tang, J. Mulet, C. R. Mirasso, and J. M. Liu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.047201 73, 047201 (2006).
16. R. Kuske and T. Erneux, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(97)00062-X 139, 125 (1997).
17. R. Kuske and T. Erneux, Eur. J. Appl. Math. ZZZZZZ 0956-7925 8, 389 (1997).
18. J. Kevorkian and J. D. Cole, Multiple Scale and Singular Perturbation Methods (Springer-Verlag, New York, 1996).
19. T. W. Carr, L. Billings, I. B. Schwartz, and I. Triandaf, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00164-0 147, 59 (2000).
20. A. Nayfeh and D. T. Mook, Nonlinear Oscillations (Wiley, New York, 1979).
21. M.-Y. Kim, R. Roy, J. L. Aron, T. W. Carr, and I. B. Schwartz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.088101 94, 088101 (2005).
22. E. J. Doedel, R. C. Paffenroth, A. R. Champneys, T. F. Fairgrieve, Yu. A. Kuznetsov, B. Sandstede, and X. Wang, AUTO 2000, continuation and bifurcation software for ordinary differential equations (with homcont), California Institute of Technology, 2001.
23. K. Engelborghs, T. Luzyanina, and G. Samaey, DDE-BIFTOOL v. 2.00 user manual, a Matlab package for bifurcation analysis of delay differential equations, K. U. Leuven, 2001.