A Method of Calculating Periodic Solutions of Second Order Dynamical Systems.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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In this work several numerical procedures for finding periodic solutions of Hamiltonian systems with Hamiltonian Hp,q sq p Vq are considered. The original system of equations is replaced by a constrained variational problem. Numerical procedures are constructed by using the method of transformation of the objective functional applied to this variational problem. Global convergence results are established and different aspects of numerical implementation of the method are discussed. Additional keywords nonlinear variational problem, constrained variational problem, nonlinear eigenvalue problem. Author.
- Numerical Mathematics