DISTRIBUTION OF THE LAMINAR PHASES IN THE CASE OF TYPE­I INTERMITTENCY WITH NOISE


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Koronovskii A. A., Kurovskaya М. К., Hramov A. E. DISTRIBUTION OF THE LAMINAR PHASES IN THE CASE OF TYPE­I INTERMITTENCY WITH NOISE. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 5, pp. 43-59. DOI: https://doi.org/10.18500/0869-6632-2009-17-5-43-59


This work is devoted to the intermittent behavior caused by the interplay between the dynamical mechanisms resulting in the type­I intermittency and the stochastic processes. The analytical consideration of the laminar phase distribution is given.

DOI: 
10.18500/0869-6632-2009-17-5-43-59
Literature

1. Berge P., Pomeau Y., and Vidal Ch.  ́ L’ordre dans le chaos. Hermann, Paris, 1988.

2. Dubois M., Rubio M., and Berge P.  ́ Experimental evidence of intermiasttencies associated with a subharmonic bifurcation // Phys. Rev. Lett. 1983. Vol.51. P. 1446.

3. Platt N., Spiegel E.A., and Tresser C. On-off intermittency: a mechanism for bursting // Phys. Rev. Lett. 1993. Vol. 70, No 3. P. 279.

4. Heagy J.F., Platt N., and Hammel S.M. Characterization of on-off intermittency // Phys. Rev. E. 1994. Vol. 49, No 2. P. 1140.

5. Boccaletti S. and Valladares D.L. Characterization of intermittent lag synchronization // Phys. Rev. E. 2000. Vol. 62, No 5. P. 7497.

6. Hramov A.E. and Koronovskii A.A. Intermittent generalized synchronization in unidi-rectionally coupled chaotic oscillators // Europhysics Lett. 2005. Vol. 70, No 2. P. 169.

7. Pikovsky A.S., Osipov G.V., Rosenblum M.G., Zaks M., and Kurths J. Attractor-repeller collision and eyelet intermittency at the transition to phase synchronization // Phys. Rev. Lett. 1997. Vol. 79, No 1. P. 47.

8. Lee K.J., Kwak Y., and Lim T.K. Phase jumps near a phase synchronization transition in systems of two coupled chaotic oscillators // Phys. Rev. Lett. 1998. Vol. 81, No 2. P. 321.

9. Boccaletti S., Allaria E., Meucci R., and Arecchi F.T. Experimental characterization of the transition to phase synchronization of chaotic CO2 laser systems // Phys. Rev. Lett. 2002. Vol. 89, No 19. P. 194101.

10. Hramov A.E., Koronovskii A.A., Kurovskaya M.K., and Boccaletti S. Ring intermittency in coupled chaotic oscillators at the boundary of phase synchronization // Phys. Rev. Lett. 2006. Vol. 97. P. 114101.

11. Neiman A., Silchenko A., Anishchenko V.S., and Schimansky-Geier L. Stochastic resonance: Noise-enhanced phase coherence // Phys. Rev. E. 1998. Vol. 58. P. 7118.

12. Anishchenko V.S., Kopeikin A.S., Vadivasova T.E., Strelkova G.I., and Kurths J. Influence of noise on statistical properties of nonhyperbolic attractors // Phys. Rev. E. 2000. Vol. 62. P. 7886.

13. Sosnovtseva O.V., Fomin A.I., Postnov D.E., and Anishchenko V.S. Clustering of noise-induced oscillations // Phys. Rev. E. 2001. Vol. 64, No 2. P. 026204.

14. Pikovsky A.S. and Kurths J. Coherence resonance in a noise-driven excitable system // Phys. Rev. Lett. 1997. Vol. 78, No 5. P. 775.

15. Mangioni S., Deza R., Wio H., and Toral R. Disordering effects of color in nonequilibrium phase transitions induced by multiplicative noise // Phys. Rev. Lett. 1997. Vol. 79, No 13. P. 2389.

16. Zaikin A.A., Kurths J., and Schimansky-Geier L. Doubly stochastic resonance // Phys. Rev. Lett. 2000. Vol. 85, No 2. P. 227.

17. Neiman A. and Russell David F. Synchronization of noise-induced bursts in noncoupled sensory neurons // Phys. Rev. Lett. 2002. Vol. 88, No 13. P. 138103.

18. Zhou C.T., Kurths J., Kiss I.Z., and Hudson J.L. Noise-enhanced phase synchronization of chaotic oscillators // Phys. Rev. Lett. 2002. Vol. 89, No 1. P. 014101.

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BibTeX

@article{Короновский-IzvVUZ_AND-17-5-43,
author = {A. A. Koronovskii and М. К. Kurovskaya and A. E. Hramov},
title = {DISTRIBUTION OF THE LAMINAR PHASES IN THE CASE OF TYPE­I INTERMITTENCY WITH NOISE},
year = {2009},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {17},number = {5},
url = {https://old-andjournal.sgu.ru/en/articles/distribution-of-the-laminar-phases-in-the-case-of-typei-intermittency-with-noise},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2009-17-5-43-59},pages = {43--59},issn = {0869-6632},
keywords = {intermittency,saddle­node bifurcation,noise,Chaotic synchronization,laminar phase distribution.},
abstract = {This work is devoted to the intermittent behavior caused by the interplay between the dynamical mechanisms resulting in the type­I intermittency and the stochastic processes. The analytical consideration of the laminar phase distribution is given. }}