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New constructive methods for analysis of resonant systems. (English)
Authors: Grebenikov E.A.
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Abstract
The modern theory of perturbations, based on the Krylov-Bogolyubov method [1], has two essential advantages: the determination of the iterations does not require the preliminary solution of the generating equation and the choice of the initial conditions, which for every approximation minimizes the difference "exact solution minus asymptotic solution". The algorithm of constructing the perturbed solution may be realized with computer algebra methods.Computing Center of Russian Academy of Sciences
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Vavilova st., 37,
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Fulltext
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Contents
- The mathematical legacy of C.S. Sibirsky. (English)
- The Lyapunov stability in restricted problems of cosmic dynamics. (English)
- A Lie algebra of a differential generalized FitzHugh-Nagumo system. (English)
- Quadratic systems with limit cycles of normal size. (English)
- Global attractors for V-monotone nonautonomous dinamical systems. (English)
- Wavelet analysis of nonlinear dynamical systems. (English)
- New constructive methods for analysis of resonant systems. (English)
- Note on multiple zeta-values. (English)
- CMC-surfaces, phi-geodesics and the Caratheodory conjecture. (English)
- Solution of the center problem for cubic systems with a bundle of three invariant straight lines. (English)
- Classification of quadratic systems with a symmetry center and simple infinite singular points. (English)
