Oscillator Subject to Periodic and Random Forces

Moshe Gitterman^{*}

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References

[1] R. Dean Astumian and F. Moss, “Overview: The Constructive Role of Noise in Fluctuations of Driven Transport and Stochastic Resonance,” Chaos, Vol. 8, No. 5, 1998, pp. 533-539. doi:10.1063/1.166334

[2] W. Horsthemke and R. Lefever, “Noise-Induced Transitions,” Springer, Berlin, 1084.

[3] P. Hanggi and R. Bartussek, “Lecture Notes in Physics,” Springer, Berlin, 1996.

[4] J. M. R. Parrondo, C. Van den Broeck and F. de la Rubia, “Noise-Induced Spatial Patterns,” Physica A, Vol. 224, No. 1-2, 1996, pp. 153-161.
doi:10.1016/0378-4371(95)00350-9

[5] P. Yung and P. Talkner, “Suppression of Higher Harmonics at Noise Induced Resonances,” Physical Review E, Vol. 51, No. 3, 1995, pp. 2640-2643.
doi:10.1103/PhysRevE.51.2640

[6] I. Dayan, M. Gitterman and G. H. Weiss, “Stochastic Resonance in Transient Dynamics,” Physical Review A, Vol. 46, No. 2, 1992, pp. 757-761.
doi:10.1103/PhysRevA.46.757

[7] S. L. Ginzburg and M. A. Pustovoit, “Noise-Induced Hypersensitivity to Small Time-Dependent Signals,” Physical Review Letters, Vol. 80, No. 22, pp. 4840-4842.
doi:10.1103/PhysRevLett.80.4840

[8] C. R. Doering and J. C. Gadoua, “Resonant Activation over a Fluctuating Barrier,” Physical Review Letters, Vol. 69, No. 16, 1992, pp. 2318-2321.
doi:10.1103/PhysRevLett.69.2318

[9] F. Marchesoni, “Conceptual Design of a Molecular Shuttle,” Physical Letters A, Vol. 237, No. 3, 1998, pp. 126- 130.

[10] D. W. Brown, L. J. Bernstein and K. Lindenberg, “Resonant Activation over a Fluctuating Barrier,” Physical Review E, Vol. 54, No. 4, 1996, pp. 3352-3360.
doi:10.1103/PhysRevE.54.3352

[11] G. Nicolis and I. Prigogine, “Self-Organization in Non-Equilibrium Systems,” Wiley, New York, 1977.

[12] J. E. Fletcher, S. Havlin and G. H. Weiss, “First Passage Time Problems in Time-Dependent Fields,” Journal of Statistical Physics, Vol. 51, No. 1-2, 1988, pp. 215-232.
doi:10.1007/BF01015328

[13] P. Reimann and P. Hanggi, “Lecture Notes in Physics,” Springer, Berlin, 1997.

[14] C. Zhou and C.-H. Lai, “Robustness of Supersensitivity to Small Signals in Nonlinear Dynamical Systems,” Physical Review E, Vol. 59, No. 6, 1999, pp. R6243-R6246.
doi:10.1103/PhysRevE.59.R6243

[15] P. Yung and E. Marchesoni, “Energetics of Stochastic Resonance,” Chaos, Vol. 21, No. 4, 2011, Article ID: 046516.

[16] M. Gitterman, “Order and Chaos: Are They Contradicting or Complimentary?” European Journal of Physics, Vol. 23, No. 2, 2002, pp. 119-122.
doi:10.1088/0143-0807/23/2/304

[17] R. N. Mantegna and R. Spagnolo, “Noise Enhanced Stability in an Unstable System,” Physical Review Letters, Vol. 76, No. 4, 1996, pp. 563-566.
doi:10.1103/PhysRevLett.76.563

[18] L. Landau and E. Lifshitz, “Mechanics,” Mechanics, Pergamon, 1976.

[19] M. Gitterman, “Stabilization of Metastable States,” Physical Review E, Vol. 65, No. 3, 2002, Article ID: 031103.
doi:10.1103/PhysRevE.65.031103

[20] M. Gitterman, “Mean-Square Displacement of a Stochastic Oscillator: Linear vs. Quadratic Noise,” Physica A, Vol. 391, No. 11, 2012, pp. 3033-3048.
doi:10.1016/j.physa.2012.01.021

[21] P. S. Landa and P. V. E. McClintock, “Vibrational Resonance,” Journal of Physics A, Vol. 33, No. 45, 2000, pp. L433-L438.

[22] Y. M. Kang, J.-X. Xu and Y. Xie, “Observing Stochastic Resonance in an Underdamped Bistable Duffing Oscillator by the Method of Moments,” Physical Review E, Vol. 68, No. 3, 2003, Article ID: 036123.
doi:10.1103/PhysRevE.68.036123