Response to parametric modulation near an instability.

作者: M. Lücke , F. Schank

DOI: 10.1103/PHYSREVLETT.54.1465

关键词: AnharmonicityBifurcationDynamics (mechanics)InstabilityBifurcation theoryClassical mechanicsState (functional analysis)Stability (probability)PhysicsInertia

摘要: The response of a damped anharmonic oscillator, being model for many systems that undergo bifurcation, is determined in the presence small-amplitude parametric modulation arbitrary dynamics and statistics. Inertia always stabilizes trivial state suppresses growth bifurcating solution above shifted stability threshold. size both effects depends on spectrum. Explicit formulas threshold, solution, moments are given.

参考文章(8)
S H Davis, The Stability of Time-Periodic Flows Annual Review of Fluid Mechanics. ,vol. 8, pp. 57- 74 ,(1976) , 10.1146/ANNUREV.FL.08.010176.000421
J. P. Gollub, S. V. Benson, Chaotic Response to Periodic Perturbation of a Convecting Fluid Physical Review Letters. ,vol. 41, pp. 948- 951 ,(1978) , 10.1103/PHYSREVLETT.41.948
Guenter Ahlers, P. C. Hohenberg, M. Lücke, Externally modulated Rayleigh-Bénard convection: experiment and theory Physical Review Letters. ,vol. 53, pp. 48- 51 ,(1984) , 10.1103/PHYSREVLETT.53.48
M. N. Roppo, S. H. Davis, S. Rosenblat, Bénard convection with time-periodic heating Physics of Fluids. ,vol. 27, pp. 796- 803 ,(1984) , 10.1063/1.864707
M. Joshua, J. V. Maher, W. I. Goldburg, Observation of periodic spinodal decomposition Physical Review Letters. ,vol. 51, pp. 196- 198 ,(1983) , 10.1103/PHYSREVLETT.51.196
R. Graham, A. Schenzle, Stabilization by multiplicative noise Physical Review A. ,vol. 26, pp. 1676- 1685 ,(1982) , 10.1103/PHYSREVA.26.1676
M. Lücke, Y. Saito, Parametric modulation of instabilities of a nonlinear discrete system Physics Letters A. ,vol. 91, pp. 205- 208 ,(1982) , 10.1016/0375-9601(82)90471-6
Stephen H. Davis, S. Rosenblat, On Bifurcating Periodic Solutions at Low Frequency Studies in Applied Mathematics. ,vol. 57, pp. 59- 76 ,(1977) , 10.1002/SAPM197757159