The noisy pendulum
This book contains the general description of the mathematical pendulum subject to constant torque, periodic and random forces. The latter appear in additive and multiplicative form with their possible correlation. For the underdamped pendulum driven by periodic forces, a new phenomenon - determinis...
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| Autor Corporativo: | |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, N.J. :
World Scientific Pub. Co
c2008.
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| Colección: | EBSCO Academic eBook Collection Complete.
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| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b30875675*spi |
Tabla de Contenidos:
- 1. Formulation of the problem. 1.1. Mathematical pendulum. 1.2. Isomorphic models. 1.3. Noise
- 2. Overdamped pendulum. 2.1. Deterministic motion. 2.2. Influence of noise. 2.3. Periodic driven force
- 3. Underdamped pendulum. 3.1. Pendulum with constant torque. 3.2. Pendulum with multiplicative noise. 3.3. Pendulum with additive noise. 3.4. Periodically driven pendulum. 3.5. Damped pendulum subject to constant torque, periodic force and noise. 3.6. Pendulum with oscillating suspension point. 3.7. Spring pendulum. 3.8. Resonance-type phenomena
- 4. Deterministic chaos. 4.1. General concepts. 4.2. Transition to chaos. 4.3. Pendulum subject to two periodic fields
- 5. Inverted pendulum. 5.1. Oscillations of the suspension axis. 5.2. The tilted parametric pendulum. 5.3. Random vibrations of the suspension axis. 5.4. Spring pendulum. 5.5. Spring pendulum driven by a periodic force
- 6. Conclusions.
