The chaotic behavior of simple mechanical systems
Abstract
Chaotic system behavior is defined as a nonperiodic oscillating motion with a pronounced sensitivity regarding a change in the initial conditions. In the present investigation, it is shown that a prediction of chaotic system behavior for a class of simple, three-dimensional, deterministic, mechanical systems is possible on the basis of an employment of numerical methods and of appropriate models which are mathematically well understood. Significant parameters are the hyperbolic character and the mechanism of reduction of the trajectories or the perturbation. A number of simple mechanical systems are examined as examples for an illustration of the discussed considerations.
- Publication:
-
Gesellschaft angewandte Mathematik und Mechanik Jahrestagung Goettingen West Germany Zeitschrift Flugwissenschaften
- Pub Date:
- April 1982
- Bibcode:
- 1982GMMWJ..62...18T
- Keywords:
-
- Fluctuation Theory;
- Mechanical Oscillators;
- Nonstabilized Oscillation;
- Perturbation Theory;
- Random Vibration;
- Systems Stability;
- Hamiltonian Functions;
- Hyperbolic Systems;
- Numerical Analysis;
- Optimization;
- Saddle Points;
- Systems Analysis;
- Physics (General)