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Volumn 127, Issue 1, 1996, Pages 41-53

A shooting approach to chaos in the Lorenz equations

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EID: 0030140607     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0060     Document Type: Article
Times cited : (29)

References (17)
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    • (1996) SIAM J. Math. Analysis , vol.27
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  • 3
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    • Lorenz equations, Part II, "Randomly" rotated homoclinic orbits and chaotic trajectories
    • 2. X. CHEN, Lorenz equations, Part I, Existence and non-uniqueness of homoclinic orbits, SIAM J. Math. Analysis 27 (1996); Part II, "Randomly" rotated homoclinic orbits and chaotic trajectories, Discrete and Continuous Dynamical Systems 2 (1996), 121-140; Part III, Existence of homoclinic explosion, preprint.
    • (1996) Discrete and Continuous Dynamical Systems , vol.2 , pp. 121-140
  • 4
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    • preprint
    • 2. X. CHEN, Lorenz equations, Part I, Existence and non-uniqueness of homoclinic orbits, SIAM J. Math. Analysis 27 (1996); Part II, "Randomly" rotated homoclinic orbits and chaotic trajectories, Discrete and Continuous Dynamical Systems 2 (1996), 121-140; Part III, Existence of homoclinic explosion, preprint.
    • Lorenz equations, Part III, Existence of Homoclinic Explosion
  • 7
    • 5544311017 scopus 로고
    • Existence of a homoclinic orbit of the Lorenz system by precise shooting
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    • (1994) Siam J. Math. Anal. , vol.25 , pp. 179-196
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  • 8
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    • Periodic solutions of a forced second order differential equation
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  • 9
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    • (1993) Amer. Math. Monthly
    • Hastings, S.1    McLeod, J.B.2
  • 10
    • 0011603296 scopus 로고
    • Oscillating solutions of the Falkner-Skan equation with positive β
    • 8. S. HASTINGS AND W. TROY, Oscillating solutions of the Falkner-Skan equation with positive β, J. Differential Equations (1987).
    • (1987) J. Differential Equations
    • Hastings, S.1    Troy, W.2
  • 11
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    • A shooting approach to the Lorenz equations
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    • (1992) Bull. Amer. Math. Soc. , pp. 298-303
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  • 13
    • 0002220884 scopus 로고
    • A computer proof that the Lorenz equations have "chaotic" solutions
    • 11. B. HASSARD, S. HASTINGS, W. TROY, AND J. ZHANG, A computer proof that the Lorenz equations have "chaotic" solutions, Appl. Math. Lett. 7 (1994), 79-83.
    • (1994) Appl. Math. Lett. , vol.7 , pp. 79-83
    • Hassard, B.1    Hastings, S.2    Troy, W.3    Zhang, J.4
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    • (1982) Applied Mathematical Sciences , vol.42
    • Sparrow, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.