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Volumn 130, Issue 2, 2000, Pages 155-160

On existence of infinitely many homoclinic solutions

Author keywords

Fixed point index; Homoclinic solutions; Isolating segments

Indexed keywords


EID: 0034360492     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006050050006     Document Type: Article
Times cited : (10)

References (12)
  • 1
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    • Isolated invariant sets and the morse index
    • Providence, RI: Amer Math Soc
    • Conley CC (1978) Isolated Invariant Sets and the Morse Index. CBMS 38. Providence, RI: Amer Math Soc
    • (1978) CBMS , vol.38
    • Conley, C.C.1
  • 4
    • 0002403778 scopus 로고
    • Chaos in the Lorentz equations: A computer assisted proof
    • Mischaikow K, Mrozek M (1995) Chaos in the Lorentz equations: A computer assisted proof Bull Amer Math Soc 32: 66-72
    • (1995) Bull Amer Math Soc , vol.32 , pp. 66-72
    • Mischaikow, K.1    Mrozek, M.2
  • 6
    • 0000384934 scopus 로고
    • Periodic and bounded solutions in blocks for time-periodic nonautonomuous ordinary differential equations
    • Srzednicki R (1994) Periodic and bounded solutions in blocks for time-periodic nonautonomuous ordinary differential equations. Nonlin Analysis 22: 707-737
    • (1994) Nonlin Analysis , vol.22 , pp. 707-737
    • Srzednicki, R.1
  • 7
    • 0002925083 scopus 로고    scopus 로고
    • A geometric method for detecting chaotic dynamics
    • Srzednicki R, Wójcik K (1997) A geometric method for detecting chaotic dynamics J Diff Eq 135: 66-82
    • (1997) J Diff Eq , vol.135 , pp. 66-82
    • Srzednicki, R.1    Wójcik, K.2
  • 8
    • 0003272507 scopus 로고    scopus 로고
    • Global bifurcation and chaos
    • New York Heidelberg Berlin: Springer
    • Wiggins S (1998) Global Bifurcation and Chaos. Analytical Methods. New York Heidelberg Berlin: Springer
    • (1998) Analytical Methods
    • Wiggins, S.1
  • 9
    • 0032162518 scopus 로고    scopus 로고
    • Isolating segments and symbolic dynamics
    • Wójcik K (1998) Isolating segments and symbolic dynamics. Nonlin Analysis 33: 575-591
    • (1998) Nonlin Analysis , vol.33 , pp. 575-591
    • Wójcik, K.1
  • 10
    • 0034148605 scopus 로고    scopus 로고
    • Isolating segments, fixed point index and symbolic dynamics
    • Wójcik K, Zgliczyński P (2000) Isolating segments, fixed point index and symbolic dynamics J Diff Eq 161: 245-288
    • (2000) J Diff Eq , vol.161 , pp. 245-288
    • Wójcik, K.1    Zgliczyński, P.2
  • 11
    • 0000527735 scopus 로고    scopus 로고
    • Fixed point index for iterations of maps, topological horseshoe and chaos
    • Zgliczyński P (1996) Fixed point index for iterations of maps, topological horseshoe and chaos. Top Met in Nonlinear Analysis 8: 169-177
    • (1996) Top Met in Nonlinear Analysis , vol.8 , pp. 169-177
    • Zgliczyński, P.1
  • 12
    • 0041540896 scopus 로고    scopus 로고
    • Computer assisted proof of chaos in the Hénon map and in the Rössler equations
    • Zgliczyński P (1997) Computer assisted proof of chaos in the Hénon map and in the Rössler equations Nonlinearity 10: 243-252
    • (1997) Nonlinearity , vol.10 , pp. 243-252
    • Zgliczyński, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.