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Volumn 86, Issue 9, 2001, Pages 1737-1740

Maintenance and suppression of chaos by weak harmonic perturbations: a unified view

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NUMERICAL METHODS; OSCILLATORS (ELECTRONIC); PERTURBATION TECHNIQUES; RESONANCE;

EID: 4243498929     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.1737     Document Type: Article
Times cited : (65)

References (25)
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    • (1987) Sov. Phys. Dokl. , vol.32 , pp. 270
  • 7
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    • R. Chacón, Phys. Lett. A 257, 293 (1999), and references therein.
    • (1999) Phys. Lett. A , vol.257 , pp. 293
    • Chacón, R.1
  • 11
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    • A. Garfinkel et al., Science 257, 1230 (1992).
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    • J. M. Ottino et al., Science 257, 754 (1992).
    • (1992) Science , vol.257 , pp. 754
    • Ottino, J.M.1
  • 16
    • 0000193158 scopus 로고    scopus 로고
    • Mention must be made of the particular and independent uses of constant perturbations to pass the logistic map from a nonchaotic to a chaotic state, in D. Xu and S. R. Bishop, Phys. Rev. E 54, 6940 (1996), and for suppressing a chaotic state into a periodic state in synchronization of coupled maps, in T. Shinbrot, Phys. Rev. E 50, 3230 (1994).
    • (1996) Phys. Rev. E , vol.54 , pp. 6940
    • Xu, D.1    Bishop, S.R.2
  • 17
    • 0000009656 scopus 로고
    • Mention must be made of the particular and independent uses of constant perturbations to pass the logistic map from a nonchaotic to a chaotic state, in D. Xu and S. R. Bishop, Phys. Rev. E 54, 6940 (1996), and for suppressing a chaotic state into a periodic state in synchronization of coupled maps, in T. Shinbrot, Phys. Rev. E 50, 3230 (1994).
    • (1994) Phys. Rev. E , vol.50 , pp. 3230
    • Shinbrot, T.1
  • 18
    • 0008973450 scopus 로고
    • V. K. Melnikov, Tr. Mosk. Ova. 12, 3 (1963) [Trans. Moscow Math. Soc. 12A, 1 (1963)].
    • (1963) Tr. Mosk. Ova. , vol.12 , pp. 3
    • Melnikov, V.K.1
  • 19
    • 5244326272 scopus 로고
    • V. K. Melnikov, Tr. Mosk. Ova. 12, 3 (1963) [Trans. Moscow Math. Soc. 12A, 1 (1963)].
    • (1963) Trans. Moscow Math. Soc. , vol.12 A , pp. 1
  • 20
    • 0001008635 scopus 로고    scopus 로고
    • In T. Tamura et al., Phys. Rev. Lett. 83, 3824 (1999), it is demonstrated, for the particular case of a forced Rayleigh oscillator with a diode, that the mechanism for suppressing chaos is a saddle-node bifurcation.
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 3824
    • Tamura, T.1
  • 21
    • 14344272804 scopus 로고    scopus 로고
    • unpublished
    • R. Chacón (unpublished).
    • Chacón, R.1
  • 24
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    • Amsterdam
    • It is worth mentioning that the criterion for a homoclinic tangency - accurately predicted by MM - is coincident with the change from a smooth to an irregular, fractal-looking basin boundary; see S. W. McDonald et al., Physica (Amsterdam) 17D, 125 (1985).
    • (1985) Physica , vol.17 D , pp. 125
    • McDonald, S.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.