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Volumn 17, Issue 3, 2007, Pages 529-540

3-Dimensional hopf bifurcation via averaging theory

Author keywords

Averaging theory; Hopf bifurcation; Lorenz system

Indexed keywords


EID: 34247228649     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2007.17.529     Document Type: Article
Times cited : (30)

References (10)
  • 1
    • 0033418555 scopus 로고    scopus 로고
    • Types of change of stability and corresponding types of bifurcations
    • L. Aguirre and P. Seibert, Types of change of stability and corresponding types of bifurcations, Discrete Contin. Dynam. Systems, 5 (1999), 741-752.
    • (1999) Discrete Contin. Dynam. Systems , vol.5 , pp. 741-752
    • Aguirre, L.1    Seibert, P.2
  • 2
    • 0347753280 scopus 로고    scopus 로고
    • Averaging methods for finding periodic orbits via Brouwer degree
    • A. Buicǎ and J. Llibre, Averaging methods for finding periodic orbits via Brouwer degree, Bull. Sci. Math., 128 (2004), 7-22.
    • (2004) Bull. Sci. Math , vol.128 , pp. 7-22
    • Buicǎ, A.1    Llibre, J.2
  • 4
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • E. N. Lorenz, Deterministic nonperiodic flow, J. Atmos. Sci., 20 (1963), 130-141.
    • (1963) J. Atmos. Sci , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 6
    • 0003211158 scopus 로고
    • The Hopf Bifurcation and Its Applications
    • Springer-Verlag, New York
    • J. E. Marsden and M. McCracken, "The Hopf Bifurcation and Its Applications," Applied Mathematical Sci., Vol. 19, Springer-Verlag, New York, 1976.
    • (1976) Applied Mathematical Sci , vol.19
    • Marsden, J.E.1    McCracken, M.2
  • 7
    • 49549126801 scopus 로고
    • An equation for continuous chaos
    • E. O. Rössler, An equation for continuous chaos, Phys. Lett. A, 57 (1976), 397-398.
    • (1976) Phys. Lett. A , vol.57 , pp. 397-398
    • Rössler, E.O.1
  • 8
    • 0003229603 scopus 로고
    • Averaging Methods in Nonlinear Dynamical Systems
    • Springer-Verlag, New York
    • J. A. Sanders and F. Verhulst, "Averaging Methods in Nonlinear Dynamical Systems," Applied Mathematical Sci., Vol. 59, Springer-Verlag, New York, 1985.
    • (1985) Applied Mathematical Sci , vol.59
    • Sanders, J.A.1    Verhulst, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.