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Volumn 63, Issue 6, 2001, Pages

Stabilization of ratchet dynamics by weak periodic signals

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; SPURIOUS SIGNAL NOISE; TRANSPORT PROPERTIES; VELOCITY;

EID: 0035362871     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.066212     Document Type: Article
Times cited : (39)

References (29)
  • 7
    • 0003518175 scopus 로고    scopus 로고
    • J. Parisi, S. C. Muller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 Springer, Berlin
    • P. Hänggi and R. Bartussek, in Nonlinear Physics of Complex Systems, edited by J. Parisi, S. C. Muller, and W. Zimmermann, Lecture Notes in Physics Vol. 476 (Springer, Berlin, 1996).
    • (1996) Nonlinear Physics of Complex Systems
    • Hänggi, P.1    Bartussek, R.2
  • 25
    • 85035288422 scopus 로고    scopus 로고
    • For a general reference see M. Lakshman and K. Murali, Chaos in Nonlinear Oscillator: Controlling and Synchronization (World Scientific, Singapore, 1996), Vol. 13, Ser. A
    • For a general reference see M. Lakshman and K. Murali, Chaos in Nonlinear Oscillator: Controlling and Synchronization (World Scientific, Singapore, 1996), Vol. 13, Ser. A.
  • 28
    • 0000137332 scopus 로고
    • The idea of chaos suppression by weak periodic signals was independently introduced also by Y. Braiman and I. Goldhirsh, Phys. Rev. Lett. 66, 2545 (1991).
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 2545
    • Braiman, Y.1    Goldhirsh, I.2
  • 29
    • 85035294704 scopus 로고    scopus 로고
    • As shown in Ref. 24, the presence of coexisting orbits in some ranges of the parameter a could lead to hysteresis, so that the width of a locked step can depend on how a is varied during the simulations. In order to reduce this effect, we perform our simulations in such a way that a is always varied starting from one value inside this region and going first toward smaller and then toward bigger values. In this way, the width of the step is maximized
    • As shown in Ref. 24, the presence of coexisting orbits in some ranges of the parameter a could lead to hysteresis, so that the width of a locked step can depend on how a is varied during the simulations. In order to reduce this effect, we perform our simulations in such a way that a is always varied starting from one value inside this region and going first toward smaller and then toward bigger values. In this way, the width of the step is maximized.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.