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A Proof That the Lorenz Equations Have a Homoclinic Orbit

โœ Scribed by S.P. Hastings; W.C. Troy


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
789 KB
Volume
113
Category
Article
ISSN
0022-0396

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## Abstract We consider the Hamiltonian system in IR^__N__^ given by where __V__ : IR^__N__^ rarr; IR is a smooth potential having a non degenerate local maximum at 0 and we assume that there is an open bounded neighborhood ft of 0 such that V(__x__) < __V__(0) for __x__ ฮด ฮฉ / {0}, __V(x)__ = __V