On existence of homoclinic orbits in the Lorenz system

Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya

Volumn , Issue 1, 1999, Pages 13-15

  Ltonov, G A ^a  

^a NONE

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EID: 77949752727     PISSN: 00240850     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

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2. Reitmann V. Regulare und chaotische Dynamik. Teubner-Verlag, 1996. 252 S.
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5. Hastings S. P., Troy W. C. A proof that the Lorenz equations have ahomoclinic orbit // J. of Differential Equations. 1994. Vol.113, N 1. P. 166-188.
6. Chen X. Lorenz equations part 1: existence and nonexistence of homoclinic orbits// SIAM J. MAth. Anal. 1996. Vol.27, N 4. P. 1057-1069.
7. Leonov G.A., Boichenko V.A. Lyapunov's Direct Methods in the Estimation of the Hausdorff Dimension of Attractors//Acta Applicandae Mathematicae. 1992. Vol.26. P. 1-60.
8. Leonov G.A., Burkin I.M., Shepeliavij A.I. Frequency Methods in Oscillation Theory. Dordrect; Boston; London, 1996. 404 p.
9. Leonov G. A., Ponomarenko D. V. Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications. Singapure, 1996. 498 p.
10. Leonov G.A. Lyapunov exponent and problems of linearization: From stability to chaos. SPb., 1998. 84 p.