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Volumn 14, Issue 2, 2006, Pages 281-293

Covering relations and non-autonomous perturbations of ODES

Author keywords

Chaotic behavior; Covering relations; Non autonomous ODEs

Indexed keywords


EID: 33644507128     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2006.14.281     Document Type: Conference Paper
Times cited : (3)

References (13)
  • 1
    • 0031063208 scopus 로고    scopus 로고
    • Positive topological entropy of Chua's circuit: A computer assisted proof
    • [G]
    • [G] Z. Galias, Positive topological entropy of Chua's circuit: A computer assisted proof. Int. J. Bifurcation and Chaos, 7(2):331-349, 1997
    • (1997) Int. J. Bifurcation and Chaos , vol.7 , Issue.2 , pp. 331-349
    • Galias, Z.1
  • 2
    • 0001201892 scopus 로고    scopus 로고
    • Computer assisted proof of chaos in the Lorenz system
    • [GaZ]
    • [GaZ] Z. Galias and P. Zgliczyński, Computer assisted proof of chaos in the Lorenz system, Physica D, 115, 1998, 165-188
    • (1998) Physica D , vol.115 , pp. 165-188
    • Galias, Z.1    Zgliczyński, P.2
  • 3
    • 0003210780 scopus 로고
    • Degree theory
    • [L], Cambridge Univ. Press, London
    • [L] N. G. Lloyd, Degree theory, Cambridge Tracts in Math., No. 73, Cambridge Univ. Press, London, 1978
    • (1978) Cambridge Tracts in Math. , Issue.73
    • Lloyd, N.G.1
  • 4
    • 0000241853 scopus 로고
    • Deterministic non-periodic flow
    • [Lo]
    • [Lo] E. Lorenz, Deterministic non-periodic flow, J. Atmos. Sci 20, 130, 1963.
    • (1963) J. Atmos. Sci , vol.20 , pp. 130
    • Lorenz, E.1
  • 6
    • 49549126801 scopus 로고
    • An equation for continuous chaos
    • [R]
    • [R] O.E. Rössler, An Equation for Continuous Chaos, Physics Letters, 57A, 397-398, 1976
    • (1976) Physics Letters , vol.57 A , pp. 397-398
    • Rössler, O.E.1
  • 7
    • 0142119428 scopus 로고    scopus 로고
    • Chaos in the Kuramoto-Sivashinsky equations - A computer assisted proof
    • [W]
    • [W] D. Wilczak, Chaos in the Kuramoto-Sivashinsky equations - a computer assisted proof, J. Diff. Eq., 194(2003), 433-459
    • (2003) J. Diff. Eq. , vol.194 , pp. 433-459
    • Wilczak, D.1
  • 8
    • 0000527735 scopus 로고    scopus 로고
    • Fixed point index for iterations, topological horseshoe and chaos
    • [Z0]
    • [Z0] P. Zgliczyński, Fixed point index for iterations, topological horseshoe and chaos, Topological Methods in Nonlinear Analysis, Vol. 8, No. 1 (1996), 169-177.
    • (1996) Topological Methods in Nonlinear Analysis , vol.8 , Issue.1 , pp. 169-177
    • Zgliczyński, P.1
  • 9
    • 0041540896 scopus 로고    scopus 로고
    • Computer assisted proof of chaos in the Hénon map and in the Rössler equations
    • [Z1]
    • [Z1] P. Zgliczyński, Computer assisted proof of chaos in the Hénon map and in the Rössler equations, Nonlinearity, Vol. 10, No. 1 (1997) 243-252.
    • (1997) Nonlinearity , vol.10 , Issue.1 , pp. 243-252
    • Zgliczyński, P.1
  • 10
    • 0035546270 scopus 로고    scopus 로고
    • On periodic points for systems of weakly coupled 1-dim maps
    • [Z2]
    • [Z2] P. Zgliczyn̈ski, On periodic points for systems of weakly coupled 1-dim maps, Nonlinear Analysis. TMA, Vol 46/7 (2001), 1039-1062.
    • (2001) Nonlinear Analysis. TMA , vol.46 , Issue.7 , pp. 1039-1062
    • Zgliczyn̈ski, P.1
  • 11
    • 0040843322 scopus 로고    scopus 로고
    • Multidimensional perturbations of one-dimensional maps and stability of Sharkovskii ordering
    • [Z3]
    • [Z3] P. Zgliczyn̈ski, Multidimensional perturbations of one-dimensional maps and stability of Sharkovskii ordering, Int. J. of Bifurcation and Chaos, Vol. 9, No. 9 (1999), 1867-1876.
    • (1999) Int. J. of Bifurcation and Chaos , vol.9 , Issue.9 , pp. 1867-1876
    • Zgliczyn̈ski, P.1
  • 12
    • 2642531129 scopus 로고    scopus 로고
    • Rigorous numerics for dissipative partial differential equations II. Periodic orbit for the Kuramoto-Sivashinsky PDE - A computer assisted proof
    • [Z4]
    • [Z4] P. Zgliczyński, Rigorous numerics for dissipative Partial Differential Equations II. Periodic orbit for the Kuramoto-Sivashinsky PDE - a computer assisted proof, Foundations of Computational Mathematics, 4 (2004), 157-185
    • (2004) Foundations of Computational Mathematics , vol.4 , pp. 157-185
    • Zgliczyński, P.1
  • 13
    • 3543092733 scopus 로고    scopus 로고
    • Covering relations for multidimensional dynamical systems
    • [ZGi]
    • [ZGi] P. Zgliczyński and M. Gidea, Covering relations for multidimensional dynamical systems, J. Diff. Eq., 202/1(2004), 33-58
    • (2004) J. Diff. Eq. , vol.202 , Issue.1 , pp. 33-58
    • Zgliczyński, P.1    Gidea, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.