Existence theorem of an invariant torus of solutions to a periodic differential system

Author:

Thoulouze-Pratt E.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference13 articles.

1. On the construction of almost periodic solutions for ordinary differential equations;Moser;Proc. Int. Conf. on Functional Analysis and Related Topics,1969

2. Stable and random motions in dynamical systems;Moser,1973

3. Almost periodic flows and solutions of differential equations;Cartwright;Proc. Lond. Math. Soc.,1967

4. Les méthodes asymptotiques en théorie des oscillations non linéaires;Bogolyubov,1962

5. Méthode de la moyenne généralisée;Balbi,1977

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Computation of Invariant Tori by the Method of Characteristics;SIAM Journal on Numerical Analysis;1995-10

2. Quasi-periodic solutions calculated with the simple shooting technique;Journal of Sound and Vibration;1991-01

3. CONVERGENCE RESULTS FOR INVARIANT CURVE ALGORITHMS;MATH COMPUT;1988

4. Convergence results for invariant curve algorithms;Mathematics of Computation;1988

5. A New Algorithm for the Numerical Approximation of an Invariant Curve;SIAM Journal on Scientific and Statistical Computing;1987-11

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