메뉴 건너뛰기




Volumn 248, Issue 9, 2010, Pages 2399-2416

On Hopf bifurcation in non-smooth planar systems

Author keywords

Hopf bifurcation; Limit cycle; Non smooth dynamical system; Piecewise linear system

Indexed keywords


EID: 77249108784     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2009.10.002     Document Type: Article
Times cited : (257)

References (14)
  • 2
    • 0000495631 scopus 로고
    • On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type
    • (in Russian)
    • Bautin N.N. On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type. Mat. Sb. (N.S.) 30 72 (1952) 181-196 (in Russian)
    • (1952) Mat. Sb. (N.S.) , vol.30 , Issue.72 , pp. 181-196
    • Bautin, N.N.1
  • 3
    • 0000465791 scopus 로고
    • On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type
    • Bautin N.N. On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type. Trans. Amer. Math. Soc. 100 1 (1954) 397-413
    • (1954) Trans. Amer. Math. Soc. , vol.100 , Issue.1 , pp. 397-413
    • Bautin, N.N.1
  • 4
    • 18044373416 scopus 로고    scopus 로고
    • Degenerate Hopf bifurcation in discontinuous planar systems
    • Coll B., Gasull A., and Prohens R. Degenerate Hopf bifurcation in discontinuous planar systems. J. Math. Anal. Appl. 253 (2001) 671-690
    • (2001) J. Math. Anal. Appl. , vol.253 , pp. 671-690
    • Coll, B.1    Gasull, A.2    Prohens, R.3
  • 6
    • 51349120588 scopus 로고    scopus 로고
    • Bifurcation of periodic orbits in a class of planar Filippov systems
    • Du Z., Li Y., and Zhang W. Bifurcation of periodic orbits in a class of planar Filippov systems. Nonlinear Anal. 69 10 (2008) 3610-3628
    • (2008) Nonlinear Anal. , vol.69 , Issue.10 , pp. 3610-3628
    • Du, Z.1    Li, Y.2    Zhang, W.3
  • 8
    • 0141454809 scopus 로고    scopus 로고
    • Center-focus problem for discontinuous planar differential equations
    • Gasull A., and Torregrosa J. Center-focus problem for discontinuous planar differential equations. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 13 (2003) 1755-1765
    • (2003) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.13 , pp. 1755-1765
    • Gasull, A.1    Torregrosa, J.2
  • 12
    • 0037246396 scopus 로고    scopus 로고
    • Hilbert's 16th problem and bifurcations of planar polynomial vector fields.
    • Li J. Hilbert's 16th problem and bifurcations of planar polynomial vector fields. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 13 1 (2003) 47-106
    • (2003) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.13 , Issue.1 , pp. 47-106
    • Li, J.1
  • 13
    • 70350589262 scopus 로고    scopus 로고
    • Hopf bifurcation for non-smooth Liénard systems
    • Liu X., and Han M. Hopf bifurcation for non-smooth Liénard systems. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 19 7 (2009) 2401-2415
    • (2009) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.19 , Issue.7 , pp. 2401-2415
    • Liu, X.1    Han, M.2
  • 14
    • 84867977730 scopus 로고    scopus 로고
    • Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
    • Zou Y., Küpper T., and Beyn W.J. Generalized Hopf bifurcation for planar Filippov systems continuous at the origin. J. Nonlinear Sci. 16 (2006) 159-177
    • (2006) J. Nonlinear Sci. , vol.16 , pp. 159-177
    • Zou, Y.1    Küpper, T.2    Beyn, W.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.