Nonlinear oscillations
| Permalink: | http://skupni.nsk.hr/Record/fer.KOHA-OAI-FER:2052/TOC |
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| Glavni autor: | Minorsky, Nicholas (-) |
| Vrsta građe: | Knjiga |
| Jezik: | eng |
| Impresum: |
D. Van Nostrand Company, Inc,
1962.
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| Izdanje: | 1. izd |
Sadržaj:
- Phase plane; Singular points. Nonlinear conservative systems. Limit cycles of poincare. Geometrical analysis of periodic solutions. Stability (varionational equations, characteristic exponents). Stability (second method of Liapounov). Theory of bifurcations. Cylindrical and toroidal phase spaces.
- Perturbation method. Periodic solutions (poincare). Oscillations in systems with several degrees of freedom. Almost periodic oscillations in nearly linear systems. Determination of characteristic exponents. Asymptotic methods of Krylov-Bogoliubov-Mitropolsky (autonomous systems). Asymptotic methods of Krylov-Bogoliubov-Mitropolsky (nonautonomous systems). Stroboscopic method. Generalization of Nyquist's diagram for nonlinear systems.
- Synchronization. Nonlinear resonance. Parametric excitation. Oscillations caused by retardet actions. Topology of Lienard's equation in a parameter space. Interaction of nonlinear oscillations. Asynchronous actions. Systems with inertial nonlinearities.
- Discontinuous theory of relaxation oscillations. Application of the discontinuous theory to electrical problems. Application of the discontinuous theory to mechanical problems. Discontinuous theory of vogel. Asymptotic methods. Piecewise linear idealization.