A Shooting Approach to Layers and Chaos in a Forced Duffing Equation
نویسندگان
چکیده
منابع مشابه
A Shooting Approach to Layers and Chaos in a Forced Duffing Equation
1 abstract We study equilibrium solutions for the problem u t = ε 2 u xx − u 3 + λu + cos x u x (0, t) = u x (1, t) = 0. Using a shooting method we find solutions for all non-zero ε. For small ε we add to the solutions found by previous authors, especially Angennent, Mallet-Paret and Peletier, and by Hale and Sakamoto, and also give new elementary ode proofs of their results. Among the new resu...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2002
ISSN: 0022-0396
DOI: 10.1006/jdeq.2002.4166