Computing the dependence on a parameter of a family of unstable manifolds: generalized Melnikov formulas

Author:

Easton Robert W.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference6 articles.

1. Persistence and smoothness of invariant manifolds for flows;Fenichel;Indiana Univ. Math. J.,1971

2. Invariant manifolds;Hirsch,1977

3. Averaging and chaotic motion in forced oscillations;Holmes;SIAM J. Appl. Math.,1980

4. On the stability of the center for time periodic perturbations;Melnikov;Trans. Moscow Math. Soc.,1963

5. ROBINSON C., Sustained resonance for a nonlinear system with slowly varying coefficients, to appear.

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