Regularization of synchronized chaotic bursts

Physical Review Letters

Volumn 86, Issue 1, 2001, Pages 183-186

  Rulkov, Nikolai F ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BIOMEDICAL ENGINEERING; CHAOS THEORY; COMPUTER SIMULATION; NEUROLOGY; OSCILLATIONS; REACTION KINETICS; SYNCHRONIZATION;

CHAOTIC BURST; CHAOTIC OSCILLATIONS; NEUROBIOLOGICAL SYSTEM; NEURONS; TWO DIMENSIONAL MAPS;

CELLS;

ANIMAL; BIOLOGICAL MODEL; NERVE CELL; NONLINEAR SYSTEM; PHYSIOLOGY;

ANIMALS; MODELS, NEUROLOGICAL; NEURONS; NONLINEAR DYNAMICS;

EID: 18044378159     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.183     Document Type: Article

References (24)

1. See, for example, special focus issues devoted to synchronization phenomena such as Chaos 6, No. 3 (1996) and Chaos 7, No. 4 (1997).
2. See, for example, special focus issues devoted to synchronization phenomena such as Chaos 6, No. 3 (1996) and Chaos 7, No. 4 (1997).
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4. V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, Radiophys. Quantum Electron. 29, 747 (1986); J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. E 50, 1874 (1994); N. F. Rulkov et al., Phys. Rev. E 51, 980 (1995); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996); B. R. Hunt, E. Ott, and J. A. Yorke, Phys. Rev. E 55, 4029 (1997); A. Pikovsky et al., Chaos 7, 680 (1997); M. A. Zaks et al., Phys. Rev. Lett. 82, 4228 (1999).
5. V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, Radiophys. Quantum Electron. 29, 747 (1986); J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. E 50, 1874 (1994); N. F. Rulkov et al., Phys. Rev. E 51, 980 (1995); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996); B. R. Hunt, E. Ott, and J. A. Yorke, Phys. Rev. E 55, 4029 (1997); A. Pikovsky et al., Chaos 7, 680 (1997); M. A. Zaks et al., Phys. Rev. Lett. 82, 4228 (1999).
6. V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, Radiophys. Quantum Electron. 29, 747 (1986); J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. E 50, 1874 (1994); N. F. Rulkov et al., Phys. Rev. E 51, 980 (1995); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996); B. R. Hunt, E. Ott, and J. A. Yorke, Phys. Rev. E 55, 4029 (1997); A. Pikovsky et al., Chaos 7, 680 (1997); M. A. Zaks et al., Phys. Rev. Lett. 82, 4228 (1999).
7. V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, Radiophys. Quantum Electron. 29, 747 (1986); J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. E 50, 1874 (1994); N. F. Rulkov et al., Phys. Rev. E 51, 980 (1995); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996); B. R. Hunt, E. Ott, and J. A. Yorke, Phys. Rev. E 55, 4029 (1997); A. Pikovsky et al., Chaos 7, 680 (1997); M. A. Zaks et al., Phys. Rev. Lett. 82, 4228 (1999).
8. V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, Radiophys. Quantum Electron. 29, 747 (1986); J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. E 50, 1874 (1994); N. F. Rulkov et al., Phys. Rev. E 51, 980 (1995); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996); B. R. Hunt, E. Ott, and J. A. Yorke, Phys. Rev. E 55, 4029 (1997); A. Pikovsky et al., Chaos 7, 680 (1997); M. A. Zaks et al., Phys. Rev. Lett. 82, 4228 (1999).
9. V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, Radiophys. Quantum Electron. 29, 747 (1986); J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. E 50, 1874 (1994); N. F. Rulkov et al., Phys. Rev. E 51, 980 (1995); L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996); B. R. Hunt, E. Ott, and J. A. Yorke, Phys. Rev. E 55, 4029 (1997); A. Pikovsky et al., Chaos 7, 680 (1997); M. A. Zaks et al., Phys. Rev. Lett. 82, 4228 (1999).
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16. The Central Pattern Generator is a typical example of such a system; see, for example, R. M. Harris-Warrick et al., in Dynamics Biological Networks: The Stomatogastric Nervous System, edited by R. M. Harris-Warrick et al. (MIT Press. Cambridge, MA, 1992); M. I. Rabinovich et al., IEEE Trans. Circuits Syst.-I 44, 997 (1997).
17. The Central Pattern Generator is a typical example of such a system; see, for example, R. M. Harris-Warrick et al., in Dynamics Biological Networks: The Stomatogastric Nervous System, edited by R. M. Harris-Warrick et al. (MIT Press. Cambridge, MA, 1992); M. I. Rabinovich et al., IEEE Trans. Circuits Syst.-I 44, 997 (1997).
18. The dynamics of globally coupled neurons with a similar type of coupling were studied in a number of papers; see, for example, D. Hansel and H. Sompolinsky, Phys. Rev. Lett. 68, 718 (1992); M. I. Rabinovich et al., Physica (Amsterdam) 263A, 405 (1999); Y. Wang et al., Phys. Rev. E 61, 740 (2000), and references therein.
19. The dynamics of globally coupled neurons with a similar type of coupling were studied in a number of papers; see, for example, D. Hansel and H. Sompolinsky, Phys. Rev. Lett. 68, 718 (1992); M. I. Rabinovich et al., Physica (Amsterdam) 263A, 405 (1999); Y. Wang et al., Phys. Rev. E 61, 740 (2000), and references therein.
20. The dynamics of globally coupled neurons with a similar type of coupling were studied in a number of papers; see, for example, D. Hansel and H. Sompolinsky, Phys. Rev. Lett. 68, 718 (1992); M. I. Rabinovich et al., Physica (Amsterdam) 263A, 405 (1999); Y. Wang et al., Phys. Rev. E 61, 740 (2000), and references therein.
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