In this paper a multiharmonic balancing technique is used to develop certain algorithms to determine periodic orbits of non-linear dynamical systems with external, parametric and self excitations. Essentially, in this method the non-linear differential equations are transformed into a set of non-lin
A numerical method for computing domains of attraction for dynamical systems
β Scribed by R. S. Guttalu; H. Flashner
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 876 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0029-5981
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π SIMILAR VOLUMES
We propose in this paper a new normal form for dynamical systems or vector fields which improves the classical normal forms in the sense that it is a further reduction of the classical normal forms. We give an algorithm for an effective computation of these normal forms. Our approach is rational in
A new concept known as a maximal Lyapunov function, based on rational Lyapunov functions rather than polynominals, can compute the domain of attraction exactly using a new iterative procedure for estimating the domain of attraction.
The purpose of this study is to develop a stochastic Newmark integration principle based on an implicit stochastic Taylor (Ito}Taylor or Stratonovich}Taylor) expansion of the vector "eld. As in the deterministic case, implicitness in stochastic Taylor expansions for the displacement and velocity vec