메뉴 건너뛰기




Volumn 1, Issue 1, 2008, Pages 15-25

Counting uniformly attracting solutions of nonautonomous differential equations

Author keywords

Attractor; Nonautonomous dynamical system; Poincar map; Polynomial differential equation; Repellor

Indexed keywords


EID: 82155179626     PISSN: 19371632     EISSN: 19371179     Source Type: Journal    
DOI: 10.3934/dcdss.2008.1.15     Document Type: Article
Times cited : (1)

References (19)
  • 1
    • 0003460862 scopus 로고
    • Dynamical systems v. bifurcation theory and catastrophe theory
    • Springer, Berlin-Heidelberg-New York
    • V. I. Arnold, "Dynamical Systems V. Bifurcation Theory and Catastrophe Theory", Encyclopedia of mathematical sciences V, Springer, Berlin-Heidelberg-New York, 1994.
    • (1994) Encyclopedia of Mathematical Sciences V
    • Arnold, V.I.1
  • 2
    • 84864600797 scopus 로고    scopus 로고
    • Uniformly attracting solutions of nonautonomous differential equations
    • A. Berger and S. Siegmund, Uniformly attracting solutions of nonautonomous differential equations, to appear in Nonlinear Anal. (2007).
    • (2007) Nonlinear Anal.
    • Berger, A.1    Siegmund, S.2
  • 3
    • 0003015955 scopus 로고    scopus 로고
    • Bifurcations of one-dimensional differential equations
    • H. Crauel, V. M. Gundlach, eds., Springer, New York
    • H. Crauel, P. Imkeller and M. Steinkamp, Bifurcations of one-dimensional differential equations, In "Stochastic Dynamics", H. Crauel, V. M. Gundlach, eds., Springer, New York, 1999, 27-47.
    • (1999) Stochastic Dynamics , pp. 27-47
    • Crauel, H.1    Imkeller, P.2    Steinkamp, M.3
  • 4
    • 33845931920 scopus 로고    scopus 로고
    • A nonautonomous saddle-node bifurcation pattern
    • R. Fabbri, R. A. Johnson and F. Mantellini, A nonautonomous saddle-node bifurcation pattern, Stoch. Dyn., 4(2004), 335-350.
    • (2004) Stoch. Dyn. , vol.4 , pp. 335-350
    • Fabbri, R.1    Johnson, R.A.2    Mantellini, F.3
  • 7
    • 0037260425 scopus 로고    scopus 로고
    • A nonautonomous transcritical bifurcation problem with an application to quasi-periodic bubbles
    • R. A. Johnson and F. Mantellini, A nonautonomous transcritical bifurcation problem with an application to quasi-periodic bubbles, Discrete Contin. Dyn. Syst., 9(2003), 209-224. (Pubitemid 36161112)
    • (2003) Discrete and Continuous Dynamical Systems , vol.9 , Issue.1 , pp. 209-224
    • Johnson, R.1    Mantellini, F.2
  • 8
    • 0012905443 scopus 로고
    • Hopf bifurcation from non-periodic solutions of differential equations, II
    • R. A. Johnson and Y. Yi, Hopf bifurcation from non-periodic solutions of differential equations, II., J. Differential Equations, 107(1994), 310-340.
    • (1994) J. Differential Equations , vol.107 , pp. 310-340
    • Johnson, R.A.1    Yi, Y.2
  • 9
    • 42949140522 scopus 로고    scopus 로고
    • Bifurcations and continuous transitions of attractors in autonomous and nonautonomous systems
    • P. E. Kloeden and S. Siegmund, Bifurcations and continuous transitions of attractors in autonomous and nonautonomous systems, Int. J. Bifur. Chaos Appl. Sci. Engrg., 5(2005), 1-21.
    • (2005) Int. J. Bifur. Chaos Appl. Sci. Engrg. , vol.5 , pp. 1-21
    • Kloeden, P.E.1    Siegmund, S.2
  • 10
    • 30344440739 scopus 로고    scopus 로고
    • Bifurcations in non-autonomous scalar equations
    • DOI 10.1016/j.jde.2005.06.023, PII S0022039605002330
    • J. A. Langa, J. C. Robinson and A. Suarez, Bifurcations in non-autonomous scalar equations, J. Differential Equations, 221(2006), 1-35. (Pubitemid 43056748)
    • (2006) Journal of Differential Equations , vol.221 , Issue.1 , pp. 1-35
    • Langa, J.A.1    Robinson, J.C.2    Suarez, A.3
  • 11
    • 21144435382 scopus 로고    scopus 로고
    • Equi-attraction and the continuous dependence of pullback attractors on parameters
    • D. Li and P. E. Kloeden, Equi-attraction and the continuous dependence of pullback attractors on parameters, Stoch. Dyn., 4(2004), 373-384.
    • (2004) Stoch. Dyn. , vol.4 , pp. 373-384
    • Li, D.1    Kloeden, P.E.2
  • 12
    • 34250258882 scopus 로고
    • j, 0 ≤ t ≤ 1, for which x (0) = x (1)
    • j, 0 ≤ t ≤ 1, for which x (0) = x (1), Invent. Math., 59(1980), 67-76.
    • (1980) Invent. Math. , vol.59 , pp. 67-76
    • Lins Neto, A.1
  • 14
    • 23744439035 scopus 로고    scopus 로고
    • The number of periodic solutions of polynomial differential equations
    • A. A. Panov, The number of periodic solutions of polynomial differential equations, Math. Notes, 64(1998), 622-628. (Pubitemid 128712401)
    • (1998) Mathematical Notes , vol.64 , Issue.5-6 , pp. 622-628
    • Panov, A.A.1
  • 16
    • 33845949144 scopus 로고    scopus 로고
    • Nonautonomous bifurcation patterns for One-Dimensional differential equations
    • M. Rasmussen, Nonautonomous bifurcation patterns for One-Dimensional differential equations, J. Differential Equations, 234(2007), 267-288.
    • (2007) J. Differential Equations , vol.234 , pp. 267-288
    • Rasmussen, M.1
  • 17
  • 18
    • 33845887981 scopus 로고    scopus 로고
    • Existence of closed solutions for a polynomial first order differential equation
    • P. J. Torres, Existence of closed solutions for a polynomial first order differential equation, J. Math. Anal. Appl, 328(2007), 1108-1116.
    • (2007) J. Math. Anal. Appl , vol.328 , pp. 1108-1116
    • Torres, P.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.