Tracking unstable steady states by large-amplitude low-frequency periodic modulation of a control parameter: Phase-space analysis

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 3, 2000, Pages 2500-2505

  Kul'minskii A ^a   Vilaseca, R ^a   Corbalan R ^b  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; MODULATION; NONLINEAR SYSTEMS;

CONTROL PARAMETERS; INSTABILITY DOMAINS; MODULATION FREQUENCIES; MODULATION PARAMETERS; PERIODIC MODULATION; PHASE-SPACE ANALYSIS; STEADY STATE SOLUTION; UNSTABLE STEADY STATE;

PHASE SPACE METHODS;

EID: 5244263483     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.2500     Document Type: Article

References (15)

1. A. Hübler, R. Georgii, M. Kuckler, W. Stelzl, and E. Lüscher, Helv. Phys. Acta 61, 897 (1988).
2. E. Ott, C. Grebogi, and Y. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
3. See, for instance, Control and Synchronization of Chaos, special issue of Chaos 7 (1997).
4. Z. Gills, C. Iwata, R. Roy, I. Schwartz, and I. Triandaf, Phys. Rev. Lett. 69, 3169 (1992)
5. I. Schwartz and I. Triandaf, Phys. Rev. A 46, 7439 (1992)
6. Phys. Rev. AT. Carroll, I. Triandaf, I. Schwartz, and L. Pecora, 46, 6189 (1992).
7. I. Schwartz, T. Carr, and I. Triandaf, Chaos 7, 664 (1997), and references therein.
8. R. Vilaseca, A. Kul’minskii, and R. Corbalán, Phys. Rev. E 54, 82 (1996).
9. R. Dykstra, A. Rayner, D. Y. Tang, and N. R. Heckenberg, Phys. Rev. E 57, 397 (1998).
10. A. N. Pisarchik, V. N. Chizhevsky, R. Corbalán, and R. Vilaseca, Phys. Rev. E 55, 2455 (1998).
11. C. O. Weiss and R. Vilaseca, Dynamics of Lasers (VCH, Weinheim, 1991).
12. P. Mandel, Theoretical Problems in Cavity Nonlinear Optics (Cambridge University Press, Cambridge, 1997).
13. C. Lepers, J. Legrand, and P. Glorieux, Phys. Rev. A 43, 2573 (1991).
14. H. Haken, Light (North-Holland, Amsterdam, 1985), Vol. 2.
15. A. Kul’minskii, R. Vilaseca, and R. Corbalán, J. Opt. Soc. Am. B 16, 1049 (1999).