Resonant forcing of chaotic dynamics

Journal of Statistical Physics

Volumn 130, Issue 3, 2008, Pages 617-629

  Gintautas, Vadas ^a   Foster, Glenn ^a   Hübler, Alfred W ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37549034594     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-007-9444-4     Document Type: Article

References (18)

1. Ashwin, S., Prabhakar, A.: A discrete map model for self-similar traffic generated by network protocols. In: TENCON 2003. Conference on Convergent Technologies for Asia-Pacific Region, vol. 1, p. 338 (2003)
2. Bulsara, A.: No-nuisance noise. Nature 437, 962 (2005)
3. Chang, K., Kodogeorgiou, A., Hübler, A., Jackson, E.A.: General resonance spectroscopy. Physica D 51, 99 (1991)
4. Eisenhammer, T., Hübler, A., Geisel, T., Lüscher, E.: Scaling behavior of the maximum energy exchange between coupled anharmonic oscillators. Phys. Rev. A 41, 3332 (1990)
5. Foster, G., Hübler, A.W., Dahmen, K.: Resonant forcing of multidimensional chaotic map dynamics. Phys. Rev. E 75, 036212 (2007)
6. Gerlach, U.H.: Linear mathematics in infinite dimensions. http://www.math.ohio-state.edu/~gerlach/math/BVtypset/ (2007)
7. Gintautas, V., Hübler, A.W.: Experimental evidence for mixed reality states in an interreality system. Phys. Rev. E 75(5), 057201 (2007)
8. Kapral, R., Fraser, S.J.: Dynamics of oscillators with periodic dichotomous noise. J. Stat. Phys. 70, 61 (1993)
9. Krempl, S., Eisenhammer, T., Hübler, A., Mayer-Kress, G., Milonni, P.W.: Optimal stimulation of a conservative nonlinear oscillator: Classical and quantum-mechanical calculations. Phys. Rev. Lett. 69, 430 (1992)
10. Mallick, K., Marcq, P.: Anharmonic oscillator driven by additive Ornstein-Uhlenbeck noise. J. Stat. Phys. 119, 1 (2005)
11. Morton, J.B., Corrsin, S.: Consolidated expansions for estimating the response of a randomly driven nonlinear oscillator. J. Stat. Phys. 2, 153 (1970)
12. Murdoch, W.W., Reeve, J.D.: Aggregation of parasitoids and the detection of density dependence in field populations. Oikos 50(1), 137 (1987)
13. Plapp, B.B., Hübler, A.: Nonlinear resonances and suppression of chaos in the RF-biased Josephson junction. Phys. Rev. Lett. 65, 2302 (1990)
14. Ruelle, D.: Resonances of chaotic dynamical systems. Phys. Rev. Lett. 56, 405 (1986)
15. Siddiqi, I., Vijay, R., Pierre, F., Wilson, C.M., Frunzio, L., Metcalfe, M., Rigetti, C., Schoelkopf, R.J., Devoret, M.H., Vion, D., Esteve, D.: Direct observation of dynamical bifurcation between two driven oscillation states of a Josephson junction. Phys. Rev. Lett. 94, 027005 (2005)
16. Szalai, R., Stepan, G., Hogan, S.J.: Global dynamics of low immersion high-speed milling. Chaos 14(4), 1069 (2004)
17. Wargitsch, C., Hübler, A.: Resonances of nonlinear oscillators. Phys. Rev. E 51, 1508 (1995)
18. Wimberger, S., Mannella, R., Morsch, O., Arimondo, E.: Resonant nonlinear quantum transport for a periodically kicked Bose condensate. Phys. Rev. Lett. 94, 130404 (2005)