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Volumn 66, Issue 5, 2002, Pages 4-

Phase synchronization and topological defects in inhomogeneous media

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CHAOS THEORY; COMPUTER SIMULATION; CORRELATION METHODS; SYNCHRONIZATION; TOPOLOGY;

EID: 41349084561     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.055202     Document Type: Article
Times cited : (11)

References (31)
  • 1
    • 85036336905 scopus 로고    scopus 로고
    • A.S. Pikovsky, M.G. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Science (Cambridge University Press, Cambridge, UK, 2001)
    • A.S. Pikovsky, M.G. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Science (Cambridge University Press, Cambridge, UK, 2001).
  • 3
    • 85036350576 scopus 로고    scopus 로고
    • Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, Germany, 1984)
    • Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, Germany, 1984).
  • 19
    • 85036403116 scopus 로고    scopus 로고
    • Chemical Waves and Patterns, edited by R. Kapral and K. Showalter (Kluwer Academic Publishers, Dordrecht, The Netherlands, 1996)
    • Chemical Waves and Patterns, edited by R. Kapral and K. Showalter (Kluwer Academic Publishers, Dordrecht, The Netherlands, 1996).
  • 20
    • 85036435829 scopus 로고    scopus 로고
    • D. Walgraef, Spatio-Temporal Pattern Formation (Springer, New York, 1997)
    • D. Walgraef, Spatio-Temporal Pattern Formation (Springer, New York, 1997).
  • 21
    • 85036255602 scopus 로고    scopus 로고
    • A. Mikhailov, Foundations of Synergetics I: Distributed Active Systems (Springer, New York, 1994)
    • A. Mikhailov, Foundations of Synergetics I: Distributed Active Systems (Springer, New York, 1994).
  • 23
    • 85036355095 scopus 로고    scopus 로고
    • The motion of chaotic oscillators cannot be uniquely parametrized by the phase in contrast to classical oscillators; however, the phase variable suffices for the determination of the location and charge of a topological defect in the spatially distributed medium
    • The motion of chaotic oscillators cannot be uniquely parametrized by the phase in contrast to classical oscillators; however, the phase variable suffices for the determination of the location and charge of a topological defect in the spatially distributed medium.
  • 27
    • 85036303151 scopus 로고    scopus 로고
    • The distortion of the local orbits by the motion of the topological defects cannot only cause the breakdown of global phase synchronization but also the breakdown of a proper phase description, i.e., no unique center of rotation exists. However, the percentage of loops in phase space, where (Formula presented) lies outside the loop is of the order of (Formula presented) for K close to (Formula presented) and, thus, extremely small. In particular, the effect on the estimate of the oscillator’s frequency is negligible
    • The distortion of the local orbits by the motion of the topological defects cannot only cause the breakdown of global phase synchronization but also the breakdown of a proper phase description, i.e., no unique center of rotation exists. However, the percentage of loops in phase space, where (Formula presented) lies outside the loop is of the order of (Formula presented) for K close to (Formula presented) and, thus, extremely small. In particular, the effect on the estimate of the oscillator’s frequency is negligible.
  • 30
    • 85036261382 scopus 로고    scopus 로고
    • These scenarios include, for example, a nonmonotonical dependence of the number of topological defects on K and fluctuations in the number of topological defects on very short time scales
    • These scenarios include, for example, a nonmonotonical dependence of the number of topological defects on K and fluctuations in the number of topological defects on very short time scales.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.