A Proof That the Lorenz Equations Have a Homoclinic Orbit
نویسندگان
چکیده
منابع مشابه
Bifurcation from a Homoclinic Orbit in Partial Functional Differential Equations
We consider a family of partial functional differential equations which has a homoclinic orbit asymptotic to an isolated equilibrium point at a critical value of the parameter. Under some technical assumptions, we show that a unique stable periodic orbit bifurcates from the homoclinic orbit. Our approach follows the ideas of Šil’nikov for ordinary differential equations and of Chow and Deng for...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1994
ISSN: 0022-0396
DOI: 10.1006/jdeq.1994.1119