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Volumn 51, Issue 1, 1995, Pages 102-110

Preserving chaos: Control strategies to preserve complex dynamics with potential relevance to biological disorders

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Indexed keywords


EID: 0000009894     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.51.102     Document Type: Article
Times cited : (142)

References (38)
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    • A. J. Mandell, Am. J. Physiol. 245;
  • 9
    • 84927483947 scopus 로고    scopus 로고
    • 14:R484 (1983);
  • 21
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    • R. C. Guillimin, P. Brazeau, A. Briskin, and A. J. Mandell, in Synergetics of the Brain, edited by E. Baser, H. Flohr, H. Haken, and A. J. Mandell (Springer-Verlag, Berlin, 1983); A. J. Mandell, in Fractals in Physics, edited by L. Pietronero and E. Tosatti (North-Holland, Amsterdam, 1986).
  • 28
    • 0026787809 scopus 로고
    • There are also biological situations where periodicity rather than chaos is desired (the opposite to the situation considered here). Thus a recent paper has experimentally investigated the use of chaos control (of the type discussed in Ref. 1 and 2) to achieve periodicity in arrhythmically beating cardiac tissue. The motivation was to suggest the possibility of a ``smart'' heart pacemaker.
    • (1992) Science , vol.257 , pp. 1230
    • Garfinkel, A.1    Spano, M.2    Ditto, W.L.3    Weiss, G.N.4
  • 35
    • 84927500492 scopus 로고    scopus 로고
    • Our considerations of loss regions also apply to type II intermittency, but we do not specifically discuss this case since it involves a transition from chaos to a steady state (via a Hopf bifurcation) rather than a transition to a periodic orbit.
  • 36
    • 0000814460 scopus 로고
    • To stabilize motion on a nonattracting chaotic set, Y.-C. Lai and C. Grebogi proposed an alternative but more elaborate control technique in
    • To stabilize motion on a nonattracting chaotic set, Y.-C. Lai and C. Grebogi proposed an alternative but more elaborate control technique in Phys. Rev. E 49, 1094 (1994).
    • (1994) Phys. Rev. E , vol.49 , pp. 1094
  • 37
    • 84927503463 scopus 로고    scopus 로고
    • Crisis scenarios other than the one depicted here also occur. See [19]. The control method we describe is independent of the scenario.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.