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Volumn 87, Issue 7, 2000, Pages 827-840

On a method for determining limit cycles in nonlinear circuits

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; FREQUENCIES; HAMILTONIANS; OSCILLATORS (ELECTRONIC); PERTURBATION TECHNIQUES; POLYNOMIALS;

EID: 0034236830     PISSN: 00207217     EISSN: 13623060     Source Type: Journal    
DOI: 10.1080/00207210050028760     Document Type: Article
Times cited : (6)

References (19)
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  • 4
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    • Bifurcation of limit cycles from center and separatrix cycles of planar analytic systems
    • Blows, T. R., and Perko, L. M., 1994, Bifurcation of limit cycles from center and separatrix cycles of planar analytic systems. SIAM Review, 36, 341-376.
    • (1994) SIAM Review , vol.36 , pp. 341-376
    • Blows, T.R.1    Perko, L.M.2
  • 5
    • 0020809194 scopus 로고
    • A criterion of existence and uniqueness of the stable limit cycle in second-order oscillators
    • CAS-30
    • Buonomo, A., DiBello, C., and Greco, O., 1983, A criterion of existence and uniqueness of the stable limit cycle in second-order oscillators. IEEE Transactions on Circuits and Systems, CAS-30, 680-683.
    • (1983) IEEE Transactions on Circuits and Systems , pp. 680-683
    • Buonomo, A.1    Dibello, C.2    Greco, O.3
  • 6
    • 0002819461 scopus 로고
    • On bifurcation of limit cycles from centers
    • New York: Springer-Verlag
    • Chicone, C., 1991, On bifurcation of limit cycles from centers. Lecture Notes in Mathematics, 1455 (New York: Springer-Verlag), pp. 20-43.
    • (1991) Lecture Notes in Mathematics , vol.1455 , pp. 20-43
    • Chicone, C.1
  • 7
    • 44949277236 scopus 로고
    • Bifurcation of limit cycles from quadratic isochrones
    • Chicone, C., and Jacobs, M., 1991, Bifurcation of limit cycles from quadratic isochrones. Journal of Differential Equations, 91, 268-326.
    • (1991) Journal of Differential Equations , vol.91 , pp. 268-326
    • Chicone, C.1    Jacobs, M.2
  • 10
    • 80054863139 scopus 로고
    • Perturbations of the spherical pendulum and Abelian integrals
    • Horozov, E., 1990, Perturbations of the spherical pendulum and Abelian integrals. J. Reine Angew Math., 408, 114-135.
    • (1990) J. Reine Angew Math. , vol.408 , pp. 114-135
    • Horozov, E.1
  • 11
    • 84963044168 scopus 로고
    • On the number of limit cycles in perturbations of quadratic Hamiltonian systems
    • Horozov, E., and Iliev, I., 1994, On the number of limit cycles in perturbations of quadratic Hamiltonian systems. Proceedings of London Mathematical Society, 69, 198-224.
    • (1994) Proceedings of London Mathematical Society , vol.69 , pp. 198-224
    • Horozov, E.1    Iliev, I.2
  • 12
    • 0027614825 scopus 로고
    • Synthesis of Lienard’s equations having more than one periodic solution
    • E76-A
    • Koga, T., Shinagaa, M., and Hasako, S., 1993, Synthesis of Lienard’s equations having more than one periodic solution. IEICE Transactions on Fundamentals, E76-A, 848— 857.
    • (1993) IEICE Transactions on Fundamentals
    • Koga, T.1    Shinagaa, M.2    Hasako, S.3
  • 13
    • 0018452921 scopus 로고
    • The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
    • CAS-26
    • Mees, A. I., and Chua, L. O., 1979, The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems. IEEE Transactions on Circuits and Systems, CAS-26, 235-254.
    • (1979) IEEE Transactions on Circuits and Systems , pp. 235-254
    • Mees, A.I.1    Chua, L.O.2
  • 15
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    • On the stability of limit cycles in nonlinear feedback systems; analysis using describing functions
    • CAS-30
    • Miller, R. K., Michel, A. N., and Krenz, G. S., 1983, On the stability of limit cycles in nonlinear feedback systems; analysis using describing functions. IEEE Transactions on Circuits and Systems, CAS-30, 684-696.
    • (1983) IEEE Transactions on Circuits and Systems , pp. 684-696
    • Miller, R.K.1    Michel, A.N.2    Krenz, G.S.3
  • 17
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    • Qiu, S.-S.1    Filanovsky, I.M.2
  • 18
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    • Calculation of steady-state oscillations in nonlinear circuits
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    • Qiu, S.-S.1    Filanovsky, I.M.2
  • 19
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    • Skelboe, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.