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Volumn 62, Issue 1 A, 2000, Pages 333-348

Full instability behavior of N-dimensional dynamical systems with a one-directional nonlinear vector field

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS);

EID: 0034228924     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.333     Document Type: Article
Times cited : (9)

References (31)
  • 4
  • 6
    • 0343301308 scopus 로고    scopus 로고
    • note
    • Half of the bifurcations occur on each point if N is odd, while one more bifurcation happens on the initially stable point if N is even.
  • 7
    • 0343301309 scopus 로고    scopus 로고
    • note
    • In fact, only one attractor can emerge from the variety of Hopf bifurcations of a saddle-node pair of fixed points, but additional attractors may arise from secondary processes.
  • 18
    • 0343736841 scopus 로고    scopus 로고
    • note
    • N.
  • 21
    • 0342431722 scopus 로고    scopus 로고
    • note
    • Complex sequences of bifurcations may occur near homoclinicity when the saddle set fulfills proper conditions [19], but mode mixing happens independently.
  • 25
    • 0342866230 scopus 로고    scopus 로고
    • note
    • Provided that a stable fixed point exists at a certain moment.
  • 26
    • 0003324839 scopus 로고
    • edited by T. Belford and J. Switf Cambridge University Press, Cambridge
    • P. Glendinning, in New Directions in Dynamical Systems, edited by T. Belford and J. Switf (Cambridge University Press, Cambridge, 1988), p. 120.
    • (1988) New Directions in Dynamical Systems , pp. 120
    • Glendinning, P.1
  • 28
    • 0003613169 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • A. Goldbeter, Biochemical Oscillations and Cellular Rhythms (Cambridge University Press, Cambridge, 1996); Dynamic Biological Networks, edited by R. M. Harris-Warrik, E. Marder, A. I. Selverton, and M. Moulins (MIT Press, Cambridge, 1992).
    • (1996) Biochemical Oscillations and Cellular Rhythms
    • Goldbeter, A.1
  • 30
    • 0343301305 scopus 로고    scopus 로고
    • note
    • An interesting example to think about is the wake-sleep cycle of a brain.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.