메뉴 건너뛰기




Volumn 10, Issue 6, 2000, Pages 1345-1366

Reducible fractional harmonics generated by the nonautonomous Duffing-Rayleigh equation. Pockets of reducible harmonics and Arnold's tongues

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039596423     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0218127400000864     Document Type: Article
Times cited : (8)

References (24)
  • 1
    • 0039391251 scopus 로고
    • Stability of a fixed point in a critical case. Bifurcations
    • in Russian
    • Barsuk, L. O., Belosludstiev, N. M., Neimark, Yu. I. & Salganskaja, N. M. [1968] "Stability of a fixed point in a critical case. Bifurcations," Radiofisica 11(11), 1632-1641 (in Russian).
    • (1968) Radiofisica , vol.11 , Issue.11 , pp. 1632-1641
    • Barsuk, L.O.1    Belosludstiev, N.M.2    Neimark, Yu.I.3    Salganskaja, N.M.4
  • 2
    • 0011326009 scopus 로고
    • Sopra un criterio di instabilitia
    • Cigala, A. R. [1905] "Sopra un criterio di instabilitia," Anali di Matematica. ser. 3, 11.
    • (1905) Anali di Matematica. Ser. , vol.3 , pp. 11
    • Cigala, A.R.1
  • 3
    • 0010748238 scopus 로고
    • The bifurcation structure of a family of degree one circle endomorphisms
    • Fournier-Punaret, D. [1991] "The bifurcation structure of a family of degree one circle endomorphisms," Int. J. Bifurcation and Chaos 1(4), 823-838.
    • (1991) Int. J. Bifurcation and Chaos , vol.1 , Issue.4 , pp. 823-838
    • Fournier-Punaret, D.1
  • 4
    • 0003106841 scopus 로고
    • On models with a non-rough homoclinic Poincaré curve
    • Gonchenko, V. S., Turaeu, D. V. & Shilnikov, L. [1993] "On models with a non-rough homoclinic Poincaré curve," Physica D62, 1-14.
    • (1993) Physica , vol.D62 , pp. 1-14
    • Gonchenko, V.S.1    Turaeu, D.V.2    Shilnikov, L.3
  • 6
    • 0021942589 scopus 로고
    • Knotted periodic orbits in suspensions of Smale's horseshoe: Torus knots and bifurcation sequences
    • Holmes, P. & Wiliams, R. F. [1985] "Knotted periodic orbits in suspensions of Smale's horseshoe: Torus knots and bifurcation sequences," Arch. Rat. Mech. Anal. 90(2), 115-195.
    • (1985) Arch. Rat. Mech. Anal. , vol.90 , Issue.2 , pp. 115-195
    • Holmes, P.1    Wiliams, R.F.2
  • 7
    • 0020715528 scopus 로고
    • Bifurcation of periodic responses in forced dynamics nonlinear circuits: Computation of bifurcation values of the system parameters
    • Kawakami, H. [1984] "Bifurcation of periodic responses in forced dynamics nonlinear circuits: Computation of bifurcation values of the system parameters," IEEE Trans. Circuits Syst. CAS-31(3), 248-260.
    • (1984) IEEE Trans. Circuits Syst. , vol.CAS-31 , Issue.3 , pp. 248-260
    • Kawakami, H.1
  • 10
    • 0039391249 scopus 로고
    • Synchronization and chaos in a Duffing-Rayleigh oscillator
    • Collection of scientific papers, Kiev, Naukova Dumka
    • Kawakami, H. & Sekaï, M. [1988] "Synchronization and chaos in a Duffing-Rayleigh oscillator," Asymptotic Methods of Mathematical Physics (Collection of scientific papers), Kiev, Naukova Dumka, pp. 83-92.
    • (1988) Asymptotic Methods of Mathematical Physics , pp. 83-92
    • Kawakami, H.1    Sekaï, M.2
  • 12
    • 0039983374 scopus 로고
    • Etude d'un premier cas d'exception pour une recurrence d'ordre 2
    • Mira, C. [1969] "Etude d'un premier cas d'exception pour une recurrence d'ordre 2," Comptes Rendus Acad. Sc. Paris, Fr. Sér. A269, 129-132.
    • (1969) Comptes Rendus Acad. Sc. Paris, Fr. Sér. , vol.A269 , pp. 129-132
    • Mira, C.1
  • 13
    • 0011321488 scopus 로고
    • Etude d'un second cas d'exception pour une recurrence d'ordre 2
    • Mira, C. [1970a] "Etude d'un second cas d'exception pour une recurrence d'ordre 2," Comptes Rendus Acad. Sc. Paris, Fr. Sér. A270, 322-335.
    • (1970) Comptes Rendus Acad. Sc. Paris, Fr. Sér. , vol.A270 , pp. 322-335
    • Mira, C.1
  • 14
    • 0011318410 scopus 로고
    • Sur les cas d'exception pour une recurrence d'ordre 2
    • Mira, C. [1970b] "Sur les cas d'exception pour une recurrence d'ordre 2", Comptes Rendus Acad. Sc. Paris, Sér. A270, 466-469.
    • (1970) Comptes Rendus Acad. Sc. Paris, Sér. , vol.A270 , pp. 466-469
    • Mira, C.1
  • 15
    • 0039983373 scopus 로고
    • Sur la structure des bifurcations des difféomorphismes du cercle
    • Mira, C. [1978] "Sur la structure des bifurcations des difféomorphismes du cercle," Comptes Rendus Acad. Sc. Paris 287(A), 883-886.
    • (1978) Comptes Rendus Acad. Sc. Paris , vol.287 , Issue.A , pp. 883-886
    • Mira, C.1
  • 18
    • 0001122696 scopus 로고
    • On the crossroad area-saddle area and crossroad area-spring area transitions
    • Mira, C. & Carcassés, J. P. [1991] "On the crossroad area-saddle area and crossroad area-spring area transitions," Int. J. Bifurcation and Chaos 1(3), 641-655.
    • (1991) Int. J. Bifurcation and Chaos , vol.1 , Issue.3 , pp. 641-655
    • Mira, C.1    Carcassés, J.P.2
  • 19
    • 0033164241 scopus 로고    scopus 로고
    • Bifurcations structures generated by the non-autonomous Duffing equation
    • Mira, C., Kawakami, H. & Touzani-Qriouet, M. [1999] "Bifurcations structures generated by the non-autonomous Duffing equation," Int. J. Bifurcation and Chaos 9(7), 1363-1379.
    • (1999) Int. J. Bifurcation and Chaos , vol.9 , Issue.7 , pp. 1363-1379
    • Mira, C.1    Kawakami, H.2    Touzani-Qriouet, M.3
  • 20
    • 0040576269 scopus 로고
    • Chaînes de bifurcations donnant naissance à des courbes fermées invariantes cycliques, pour un difféomorphisme cubique bidimensionnel
    • Mira, C. & Myoupo, J. F. [1984] "Chaînes de bifurcations donnant naissance à des courbes fermées invariantes cycliques, pour un difféomorphisme cubique bidimensionnel," Comptes Rendus. Acad. Sc. Paris, Fr. Sér. 1, A299, 109-112.
    • (1984) Comptes Rendus. Acad. Sc. Paris, Fr. Sér. 1 , vol.A299 , pp. 109-112
    • Mira, C.1    Myoupo, J.F.2
  • 21
    • 21344482189 scopus 로고
    • On a 'crossroad area-spring area' transition occurring in a Duffing-Rayleigh equation with a periodical excitation
    • Mira, C. & Qriouet, M. [1993] "On a 'crossroad area- spring area' transition occurring in a Duffing-Rayleigh equation with a periodical excitation," Int. J. Bifurcation and Chaos 3(4), 1029-1037.
    • (1993) Int. J. Bifurcation and Chaos , vol.3 , Issue.4 , pp. 1029-1037
    • Mira, C.1    Qriouet, M.2
  • 22
    • 21344489956 scopus 로고
    • Fractional harmonic synchronization in the Duffing-Rayleigh differential equation
    • Qriouet, M. & Mira, C. [1994] "Fractional harmonic synchronization in the Duffing-Rayleigh differential equation," Int. J. Bifurcation and Chaos 4(2), 411-426.
    • (1994) Int. J. Bifurcation and Chaos , vol.4 , Issue.2 , pp. 411-426
    • Qriouet, M.1    Mira, C.2
  • 24
    • 0000181435 scopus 로고    scopus 로고
    • Mathematical problem of nonlinear dynamics: A tutorial
    • Shilnikov, L. [1997] "Mathematical problem of nonlinear dynamics: A tutorial," Int. J. Bifurcation and Chaos 7(9), 1953-2001.
    • (1997) Int. J. Bifurcation and Chaos , vol.7 , Issue.9 , pp. 1953-2001
    • Shilnikov, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.