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Volumn 38, Issue 19, 2005, Pages 4175-4185

A planar topological horseshoe theory with applications to computer verifications of chaos

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EID: 21244466438     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/19/008     Document Type: Article
Times cited : (45)

References (16)
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    • Rigorous investigation of the Ikeda map by means of interval arithmetic
    • Galias Z 2002 Rigorous investigation of the Ikeda map by means of interval arithmetic Nonlinearity 15 1759-79
    • (2002) Nonlinearity , vol.15 , Issue.6 , pp. 1759-1779
    • Galias, Z.1
  • 6
    • 0032393729 scopus 로고    scopus 로고
    • Chaos in Lorenz equations: A computer assisted proof, part II: Details
    • Mischaikow K and Mrozek M 1998 Chaos in Lorenz equations: a computer assisted proof, part II: details Math. Comput. 67 1024-46
    • (1998) Math. Comput. , vol.67 , pp. 1024-1046
    • Mischaikow, K.1    Mrozek, M.2
  • 8
    • 0030213967 scopus 로고    scopus 로고
    • Topological invariants, multivalued maps and computer assisted proofs in dynamics
    • Mrozek M 1996 Topological invariants, multivalued maps and computer assisted proofs in dynamics Comput. Math. 32 83-104
    • (1996) Comput. Math. , vol.32 , pp. 83-104
    • Mrozek, M.1
  • 10
    • 13844297862 scopus 로고    scopus 로고
    • Existence of horseshoes in a foodweb model
    • Yang X-S and Li Q 2004 Existence of horseshoes in a foodweb model Int. J. Bifurcation Chaos 14 1847-52
    • (2004) Int. J. Bifurcation Chaos , vol.14 , pp. 1847-1852
    • Yang, X.-S.1    Li, Q.2
  • 11
  • 12
    • 0042122485 scopus 로고    scopus 로고
    • Horseshoes in piecewise continuous maps
    • Yang X-S and Tang Y 2004 Horseshoes in piecewise continuous maps Chaos Solitons Fractals 19 841-5
    • (2004) Chaos Solitons Fractals , vol.19 , pp. 841-845
    • Yang, X.-S.1    Tang, Y.2
  • 13
    • 0041540896 scopus 로고    scopus 로고
    • Computer assisted proof of chaos in the Rössler equations and in the Hénon map
    • Zgliczyński P 1997 Computer assisted proof of chaos in the Rössler equations and in the Hénon map Nonlinearity 10 243-52
    • (1997) Nonlinearity , vol.10 , Issue.1 , pp. 243-252
    • Zgliczyński, P.1
  • 14
    • 3543092733 scopus 로고    scopus 로고
    • Covering relations for multidimensional dynamical systems I
    • Zgliczyński P and Gidea M 2004 Covering relations for multidimensional dynamical systems I J. Diff. Eqns 202 33-58
    • (2004) J. Diff. Eqns , vol.202 , pp. 33-58
    • Zgliczyński, P.1    Gidea, M.2
  • 15
    • 3543134841 scopus 로고    scopus 로고
    • Covering relations for multidimensional dynamical systems II
    • Zgliczyński P and Gidea M 2004 Covering relations for multidimensional dynamical systems II J. Diff. Eqns 202 59-80
    • (2004) J. Diff. Eqns , vol.202 , pp. 59-80
    • Zgliczyński, P.1    Gidea, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.