Tangent spaces in non-linear dynamical systems are state dependent. Hence, it is generally not possible to exactly represent a non-linear dynamical system by a linear one over "nite segments of the evolving trajectories in the phase space. It is known from the well-known theorem of Hartman and Grobm
A generalized software system for non-linear analysis
β Scribed by Robert H. Dodds Jr.; L.A. Lopez
- Publisher
- Elsevier Science
- Year
- 1980
- Weight
- 809 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0141-1195
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A modified FPA (Fixed Point Algorithm) is developed to analyze quasi-periodic responses of strongly non-linear dynamical systems with multi-input frequencies. An accurate and explicit form of the Jacobian matrix is used in the iteration process by selecting discrete integral points in the PoincareΒ΄m
Previous achievements using the dynamic non-linear analysis of an interaction system are reviewed briefly, after which a three dimensional (3D) model of the stress redistribution of soil based on the Mohr-Coulomb failure law is presented to evaluate the unbalanced tensor at every iteration in the lo