Periodic solutions for nonlinear differential systems of equations with a small parameter
β Scribed by Mihai Popescu
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 101 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
We analyse the behaviour of the solution for a small parameter of some nonlinear di erential systems for which the linearized system admits periodic solutions. We obtain the normal variation system, which allows the study of stability of the transformed system, as well as several considerations on the periodicity of the solutions.
π SIMILAR VOLUMES
We extend to difference equations the classical method of harmonic balance. We show that the method can be used to obtain an approximation to the periodic solutions of a special class of second-order nonlinear di$erence equations containing a small parameter. Two examples illustrating the method are
In this paper we shall study the existence of a periodic solution to the nonlinear Ε½ . Ε½ Ε½ .. differential equation x q Ax y A\*x y A\*Ax q B t x q f t, x t s 0 in some complex Hilbert space, using duality and variational methods.