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Volumn 14, Issue 3, 2006, Pages 533-547

One-dimensional attractor for a dissipative system with a cylindrical phase space

Author keywords

Attractor; Cylindrical phase space; Dissipative systems; Pendulum

Indexed keywords


EID: 33644547058     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2006.14.533     Document Type: Article
Times cited : (7)

References (16)
  • 3
    • 0002001323 scopus 로고
    • Factorization of symmetric matrix polynomials
    • V. A. Jakubovič, Factorization of symmetric matrix polynomials, Soviet Math. Dokl., 11 (1970), 1261-1264.
    • (1970) Soviet Math. Dokl. , vol.11 , pp. 1261-1264
    • Jakubovič, V.A.1
  • 5
    • 84974449946 scopus 로고
    • Propriétés des attracteurs de Birkhoff
    • P. Le Calvez, Propriétés des attracteurs de Birkhoff, Ergod. Th & Dynam. Sys., 8 (1987), 241-310.
    • (1987) Ergod. Th & Dynam. Sys. , vol.8 , pp. 241-310
    • Le Calvez, P.1
  • 6
    • 0001448882 scopus 로고
    • Nonchaotic behavior in the Josephson junction
    • M. Levi, Nonchaotic behavior in the Josephson junction, Physical Review A, 37 (1988), 927-931.
    • (1988) Physical Review A , vol.37 , pp. 927-931
    • Levi, M.1
  • 7
    • 0001455091 scopus 로고
    • Transformation theory of non-linear differential equations of the second order
    • Correction, 49 (1948) 738
    • N. Levinson, Transformation theory of non-linear differential equations of the second order, Ann. Math., 45 (1944), 723-737. Correction, 49 (1948) 738.
    • (1944) Ann. Math. , vol.45 , pp. 723-737
    • Levinson, N.1
  • 8
    • 16844385584 scopus 로고    scopus 로고
    • The effect of inversely unstable solutions on the attractor of the forced pendulum equation with friction
    • R. Martins, The effect of inversely unstable solutions on the attractor of the forced pendulum equation with friction, J. Differential Equations, 212 (2005), 351-365.
    • (2005) J. Differential Equations , vol.212 , pp. 351-365
    • Martins, R.1
  • 9
    • 0042956766 scopus 로고
    • Dynamical behavior in coupled systems of J-J type
    • Q. Min, S. Wenxian, Z. Jinyan, Dynamical behavior in coupled systems of J-J type, J. Differential Equations, 88 (1990), 175-212.
    • (1990) J. Differential Equations , vol.88 , pp. 175-212
    • Min, Q.1    Wenxian, S.2    Jinyan, Z.3
  • 10
    • 45449124407 scopus 로고
    • Global behavior in the dynamical equation of J-J type
    • Q. Min, S. Xian, Z. Jinyan, Global behavior in the dynamical equation of J-J type, J. Differential Equations, 71 (1988), 315-333.
    • (1988) J. Differential Equations , vol.71 , pp. 315-333
    • Min, Q.1    Xian, S.2    Jinyan, Z.3
  • 12
    • 0032338073 scopus 로고    scopus 로고
    • One-dimensional global attractor for discretization of the damped driven sine-Gordon equation
    • M. Qian, W. Qin, S. Zhu, One-dimensional global attractor for discretization of the damped driven sine-Gordon equation, Nonlinear Analisys, 34 (1998), 941-951.
    • (1998) Nonlinear Analisys , vol.34 , pp. 941-951
    • Qian, M.1    Qin, W.2    Zhu, S.3
  • 13
    • 0031077746 scopus 로고    scopus 로고
    • Dynamics in a chain of overdamped pendula driven by constant torques
    • M. Qian, S. Zhu, W. Qin, Dynamics in a chain of overdamped pendula driven by constant torques, SIAM J. Appl. Math., 57 (1997), 294-305.
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 294-305
    • Qian, M.1    Zhu, S.2    Qin, W.3
  • 14
    • 3042592464 scopus 로고    scopus 로고
    • Bounded homeomorphisms of the open annulus
    • D. Richeson, J. Wiseman, Bounded homeomorphisms of the open annulus, New York J. Math., 9 (2003), 55-68.
    • (2003) New York J. Math. , vol.9 , pp. 55-68
    • Richeson, D.1    Wiseman, J.2
  • 15
    • 33644522610 scopus 로고
    • Absolute stability of certain differential equations
    • R. A. Smith, Absolute stability of certain differential equations, J. London Math. Soc., 7 (1973), 203-210.
    • (1973) J. London Math. Soc. , vol.7 , pp. 203-210
    • Smith, R.A.1
  • 16
    • 0022892075 scopus 로고
    • Massera's convergence theorem for periodic nonlinear differential equations
    • R. A. Smith, Massera's convergence theorem for periodic nonlinear differential equations, J. Math. Anal. Appl., 120 (1986), 679-708.
    • (1986) J. Math. Anal. Appl. , vol.120 , pp. 679-708
    • Smith, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.