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Volumn 24, Issue 4, 2014, Pages

Improved homoclinic predictor for bogdanov-takens bifurcation

Author keywords

Bogdanov Takens bifurcation; center manifold; homoclinic orbit; MatCont; Normal form

Indexed keywords

BIFURCATION (MATHEMATICS); HAMILTONIANS; LINEAR SYSTEMS; LINEAR TRANSFORMATIONS; MATHEMATICAL TRANSFORMATIONS; PERTURBATION TECHNIQUES;

EID: 84899409005     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127414500576     Document Type: Article
Times cited : (21)

References (24)
  • 2
    • 0034196114 scopus 로고    scopus 로고
    • Robustness margins for indirect field oriented control of induction motors
    • Bazanella, A. S. & Reginatto, R. [2000] "Robustness margins for indirect field oriented control of induction motors, " IEEE Trans. Autom. Contr. 45, 1226-1231.
    • (2000) IEEE Trans. Autom. Contr. , vol.45 , pp. 1226-1231
    • Bazanella, A.S.1    Reginatto, R.2
  • 3
    • 84899440564 scopus 로고    scopus 로고
    • Instabilty mechanisms in indirect field oriented control drives: Theory and experimental results
    • Bazanella, A. S. & Reginatto, R. [2002] "Instabilty mechanisms in indirect field oriented control drives: Theory and experimental results, " IFAC World Congress, Barcelona, Spain, Vol. 15, Part I.
    • (2002) IFAC World Congress, Barcelona, Spain , vol.15 , Issue.PART I
    • Bazanella, A.S.1    Reginatto, R.2
  • 4
    • 21844504535 scopus 로고
    • Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point
    • Beyn, W.-J. [1994] "Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point, " IMA J. Numer. Anal. 14, 381-410.
    • (1994) IMA J. Numer. Anal. , vol.14 , pp. 381-410
    • Beyn, W.-J.1
  • 6
    • 34250403445 scopus 로고
    • Versal deformations of a singular point on the plane in the case of zero eigenvalues
    • Bogdanov, R. I. [1975] "Versal deformations of a singular point on the plane in the case of zero eigenvalues, " Funct. Anal. Appl. 9, 144-145.
    • (1975) Funct. Anal. Appl. , vol.9 , pp. 144-145
    • Bogdanov, R.I.1
  • 7
    • 0003048025 scopus 로고
    • Bifurcations of a limit cycle of a certain family of vector fields on the plane
    • Moscow State University, Moscow, Russian
    • Bogdanov, R. I. [1976a] "Bifurcations of a limit cycle of a certain family of vector fields on the plane, " Proc. Petrovskii Seminar, Vol. 2 (Moscow State University, Moscow), pp. 23-35 (in Russian)
    • (1976) Proc. Petrovskii Seminar, Vol. 2 , pp. 23-35
    • Bogdanov, R.I.1
  • 8
    • 0001641821 scopus 로고
    • English translation
    • [1981] English translation, Selecta Math. Sov. 1, 373-388.
    • (1981) Selecta Math. Sov. , vol.1 , pp. 373-388
  • 9
    • 0003048021 scopus 로고
    • The versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
    • Moscow State University, Moscow, Russian)
    • Bogdanov, R. I. [1976b] "The versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues, " Proc. Petrovskii Seminar, Vol. 2 (Moscow State University, Moscow), pp. 37-65 (in Russian)
    • (1976) Proc. Petrovskii Seminar , vol.2 , pp. 37-65
    • Bogdanov, R.I.1
  • 10
    • 0002549474 scopus 로고
    • English translation
    • [1981] English translation, Selecta Math. Sov. 1, 389-421.
    • (1981) Selecta Math. Sov. , vol.1 , pp. 389-421
  • 12
    • 84862073931 scopus 로고    scopus 로고
    • Interactive initialization and continuation of homoclinic and heteroclinic orbits in MATLAB
    • Art. 18, 34
    • De Witte, V., Govaerts, W., Kuznetsov, Yu. A. & Friedman, M. [2012] "Interactive initialization and continuation of homoclinic and heteroclinic orbits in MATLAB, " ACM Trans. Math. Softw. 38, Art. 18, 34.
    • (2012) ACM Trans. Math. Softw. , vol.38
    • De Witte, V.1    Govaerts, W.2    Kuznetsov Yu., A.3    Friedman, M.4
  • 13
    • 8744230577 scopus 로고    scopus 로고
    • MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs
    • Dhooge, A., Govaerts, W. & Kuznetsov, Yu. A. [2003] "MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs, " ACM Trans. Math. Softw. 29, 141-164.
    • (2003) ACM Trans. Math. Softw. , vol.29 , pp. 141-164
    • Dhooge, A.1    Govaerts, W.2    Kuznetsov Yu., A.3
  • 16
    • 0036568341 scopus 로고    scopus 로고
    • Hopf bifurcation in indirect field-oriented control of induction motors
    • Gordillo, F., Salas, F., Ortega, R. & Aracil, J. [2002] "Hopf bifurcation in indirect field-oriented control of induction motors, " Automatica 38, 829-835.
    • (2002) Automatica , vol.38 , pp. 829-835
    • Gordillo, F.1    Salas, F.2    Ortega, R.3    Aracil, J.4
  • 21
    • 14244262209 scopus 로고    scopus 로고
    • Bogdanov-Takens bifurcation in indirect field oriented control of induction motor drives
    • Salas, F., Reginatto, R., Gordillo, F. & Aracil, J. [2004] "Bogdanov-Takens bifurcation in indirect field oriented control of induction motor drives, " 43rd IEEE Conf. Decision and Control, Vol. 4, pp. 4357-4362.
    • (2004) 43rd IEEE Conf. Decision and Control , vol.4 , pp. 4357-4362
    • Salas, F.1    Reginatto, R.2    Gordillo, F.3    Aracil, J.4
  • 22
    • 45149126128 scopus 로고    scopus 로고
    • Codimension-two bifurcations in indirect field oriented control of induction motor drives
    • Salas, F., Gordillo, F. & Aracil, J. [2008] "Codimension-two bifurcations in indirect field oriented control of induction motor drives, " Int. J. Bifurcation and Chaos 18, 779-792.
    • (2008) Int. J. Bifurcation and Chaos , vol.18 , pp. 779-792
    • Salas, F.1    Gordillo, F.2    Aracil, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.