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Volumn 8, Issue 4, 1998, Pages 685-699

On bifurcations leading to Chaos in Chua's circuit

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EID: 0040086026     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127498000486     Document Type: Article
Times cited : (20)

References (27)
  • 3
    • 0000675441 scopus 로고
    • On the appearance and structure of Lorenz attractor
    • Afraimovich, V. S., Bykov, V. V. & Shil'nikov, L. P. [1977] "On the appearance and structure of Lorenz attractor," DAN SSSR 234, 336-339.
    • (1977) DAN SSSR , vol.234 , pp. 336-339
    • Afraimovich, V.S.1    Bykov, V.V.2    Shil'Nikov, L.P.3
  • 4
    • 0000119416 scopus 로고
    • On the structurally unstable attracting limit sets of Lorenz attractor type
    • Afraimovich, V. S., Bykov, V. V. & Shil'nikov, L. P. [1983] "On the structurally unstable attracting limit sets of Lorenz attractor type," Tran. Mosc. Soc. 2, 153-215.
    • (1983) Tran. Mosc. Soc. , vol.2 , pp. 153-215
    • Afraimovich, V.S.1    Bykov, V.V.2    Shil'Nikov, L.P.3
  • 6
    • 0001852216 scopus 로고
    • Invariant two-dimensional tori, their breakdown and stochastisity
    • ed. Leontovich-Andronova, E. A. (Gorky Univ. Press) translated in Amer. Math. Soc. Trans. 149(2), 201-212
    • Afraimovich, V. S. & Shil'nikov, L. P. [1983] "Invariant two-dimensional tori, their breakdown and stochastisity," in Methods of Qualitative Theory of Differential Equations, ed. Leontovich-Andronova, E. A. (Gorky Univ. Press) (translated in Amer. Math. Soc. Trans. 149(2), 201-212.
    • (1983) Methods of Qualitative Theory of Differential Equations
    • Afraimovich, V.S.1    Shil'Nikov, L.P.2
  • 7
    • 0000949321 scopus 로고
    • New type of strange attractor from geometric model of Chua's circuit
    • Belykh, V. N. & Chua, L. O. [1992] "New type of strange attractor from geometric model of Chua's circuit," Int. J. Bifurcation and Chaos 2, 697-704.
    • (1992) Int. J. Bifurcation and Chaos , vol.2 , pp. 697-704
    • Belykh, V.N.1    Chua, L.O.2
  • 8
    • 0040598359 scopus 로고
    • Bifurcation of systems with homoclinic curve of saddle-focus
    • Belyakov, L. A. [1984] "Bifurcation of systems with homoclinic curve of saddle-focus," Math. Notes Acad. Sci. USSR 36(1/2), 838-843.
    • (1984) Math. Notes Acad. Sci. USSR , vol.36 , Issue.1-2 , pp. 838-843
    • Belyakov, L.A.1
  • 10
    • 0026153216 scopus 로고
    • Intermittency in piecewise-linear circuit
    • Chua, L. O. & Lin, G. [1990] "Intermittency in piecewise-linear circuit," IEEE Trans. Syst. 38(5), 510-520.
    • (1990) IEEE Trans. Syst. , vol.38 , Issue.5 , pp. 510-520
    • Chua, L.O.1    Lin, G.2
  • 11
    • 0039341143 scopus 로고
    • Bifurcation phenomena in the 1:1 resonant horn for the forced van der Pol-Duffing equations
    • Dmitriev, A. S., Komlev, Yu. A. & Turaev, D. V. [1992] "Bifurcation phenomena in the 1:1 resonant horn for the forced van der Pol-Duffing equations," Int. J. Bifurcations and Chaos 2(1), 93-100.
    • (1992) Int. J. Bifurcations and Chaos , vol.2 , Issue.1 , pp. 93-100
    • Dmitriev, A.S.1    Komlev, Yu.A.2    Turaev, D.V.3
  • 12
    • 0010149727 scopus 로고
    • Homoclinic orbits in a parametrized saddle-focus system
    • Feroe, J. A. [1993] "Homoclinic orbits in a parametrized saddle-focus system," Physica D62(1-4), 254-262.
    • (1993) Physica , vol.D62 , Issue.1-4 , pp. 254-262
    • Feroe, J.A.1
  • 13
    • 2742611797 scopus 로고
    • A case study for homoclinic chaos in an autonomous electronic circuit
    • Freire, E., Rodriquez-Luis, A. J., Gamero, E. & Ponce, E. [1993] "A case study for homoclinic chaos in an autonomous electronic circuit," Physica D62, 230-253.
    • (1993) Physica , vol.D62 , pp. 230-253
    • Freire, E.1    Rodriquez-Luis, A.J.2    Gamero, E.3    Ponce, E.4
  • 14
    • 0000936965 scopus 로고
    • On three-dimensional systems close to systems with a structurally unstable homoclinic curve
    • Gavrilov, N. K. & Shilnikov, L. P. [1973] "On three-dimensional systems close to systems with a structurally unstable homoclinic curve," Math. USSR Sb. 17, 446-485.
    • (1973) Math. USSR Sb. , vol.17 , pp. 446-485
    • Gavrilov, N.K.1    Shilnikov, L.P.2
  • 15
    • 0040005100 scopus 로고
    • Bifurcations in a piecewice linear system
    • George, D. P. [1986] "Bifurcations in a piecewice linear system," Phys. Lett. A118(1), 17-21.
    • (1986) Phys. Lett. , vol.A118 , Issue.1 , pp. 17-21
    • George, D.P.1
  • 16
    • 0000234956 scopus 로고
    • Versal unfolding of equivariant vector fields for the cases of the symmetry of the second and third orders
    • in Russian
    • Harozov, E. I. [1979] "Versal unfolding of equivariant vector fields for the cases of the symmetry of the second and third orders," Trans. I. G. Petrovsky's Seminar 5, 163-192 (in Russian).
    • (1979) Trans. I. G. Petrovsky's Seminar , vol.5 , pp. 163-192
    • Harozov, E.I.1
  • 17
    • 21344491754 scopus 로고
    • On periodic orbits and homoclinic bifurcations in Chua's circuit with smooth nonlinearity
    • Khibnic, A. I., Roose, D. & Chua, L. O. [1993] "On periodic orbits and homoclinic bifurcations in Chua's circuit with smooth nonlinearity," Int. J. Bifurcation and Chaos 3(2), 363-384.
    • (1993) Int. J. Bifurcation and Chaos , vol.3 , Issue.2 , pp. 363-384
    • Khibnic, A.I.1    Roose, D.2    Chua, L.O.3
  • 18
    • 0013534692 scopus 로고
    • Confinor and bounded-time patterns in Chua's circuit and the double-scroll family
    • Lozi, R. & Ushiki, S. [1991] "Confinor and bounded-time patterns in Chua's circuit and the double-scroll family," Int. J. Bifurcation and Chaos 1(1), 119-138.
    • (1991) Int. J. Bifurcation and Chaos , vol.1 , Issue.1 , pp. 119-138
    • Lozi, R.1    Ushiki, S.2
  • 19
    • 21344482326 scopus 로고
    • The theory of confinors in Chua's curcuit: Accurate analisis of bifurcations and attractors
    • Lozi, R. & Ushiki, S. [1993] "The theory of confinors in Chua's curcuit: Accurate analisis of bifurcations and attractors," Int. J. Bifurcation and Chaos 3(2), 333-361.
    • (1993) Int. J. Bifurcation and Chaos , vol.3 , Issue.2 , pp. 333-361
    • Lozi, R.1    Ushiki, S.2
  • 21
    • 51249181043 scopus 로고
    • The abundance of wild hyperbolic sets and nonsmooth stable sets for diffeormorphism
    • Newhouse, S. E. [1979] "The abundance of wild hyperbolic sets and nonsmooth stable sets for diffeormorphism," Publ. Math. IHES 50, 101-151.
    • (1979) Publ. Math. IHES , vol.50 , pp. 101-151
    • Newhouse, S.E.1
  • 22
    • 79955579216 scopus 로고
    • On systems with a saddle-focus homoclinic curve
    • Ovsyannikov, I. M. & Shil'nikov, L. P. [1987] "On systems with a saddle-focus homoclinic curve," Math. USSR Sbornik 58, 91-102.
    • (1987) Math. USSR Sbornik , vol.58 , pp. 91-102
    • Ovsyannikov, I.M.1    Shil'Nikov, L.P.2
  • 23
    • 0039233435 scopus 로고
    • On existence of a smooth invariant foliation for maps of Lorenz type
    • in Russian
    • Shashkov, M. V. & Shil'nikov, L. P. [1994] "On existence of a smooth invariant foliation for maps of Lorenz type," Differenzial'nye uravnenija 30(4), 586-595 (in Russian).
    • (1994) Differenzial'nye Uravnenija , vol.30 , Issue.4 , pp. 586-595
    • Shashkov, M.V.1    Shil'Nikov, L.P.2
  • 24
    • 0000063614 scopus 로고
    • On a Poincaré-Birkgoff problem
    • Shil'nikov, L. P. [1968] "On a Poincaré-Birkgoff problem," Math. USSR Sborn. 3, 353-371.
    • (1968) Math. USSR Sborn. , vol.3 , pp. 353-371
    • Shil'Nikov, L.P.1
  • 25
    • 0002995706 scopus 로고
    • A contribution to the problem of a rough equilibrium state of saddle-focus type
    • Shil'nikov, L. P. [1970] "A contribution to the problem of a rough equilibrium state of saddle-focus type," Math. USSR Sbornik 10, 92-103.
    • (1970) Math. USSR Sbornik , vol.10 , pp. 92-103
    • Shil'Nikov, L.P.1
  • 26
    • 0041192420 scopus 로고
    • The theory of bifurcations and turbulence 1
    • Shil'nikov, L. P. [1991] "The theory of bifurcations and turbulence 1," Selecta Math. Sovietica 1(10), 43-53.
    • (1991) Selecta Math. Sovietica , vol.1 , Issue.10 , pp. 43-53
    • Shil'Nikov, L.P.1
  • 27
    • 4244116032 scopus 로고
    • Chua's circuit: Rigorous results and future problems
    • Shil'nikov, L. P. [1994] "Chua's circuit: Rigorous results and future problems," Int. J. Bifurcation and Chaos 4(3), 489-519.
    • (1994) Int. J. Bifurcation and Chaos , vol.4 , Issue.3 , pp. 489-519
    • Shil'Nikov, L.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.