Inverse problem of nonlinear dynamical systems: a constructive approach
Journal Article
·
· Hadronic J.; (United States)
OSTI ID:6554533
A quite simple and practical method is developed for the construction of two dimensional nonlinear dynamical systems (plane vector fields) possessing an arbitrary number of given limit cycles. The method is applied to the construction of n-dimensional dynamical systems (R/sup n/ vector fields) possessing at least one limit cycle and, under certain circumstances, more than one, or even a numerable infinity. Interesting open problems arise when n is greater than two, or where more than one limit cycle appears. Our constructive algorithm for this type of inverse problem is also applied to the construction of second order differential equations (Newtonian differential equations) possessing a finite or infinite number of invariant speeds. This last problem is relevant for certain aspects of the special theory of relativity.
- Research Organization:
- Instituto de Estructura de la Materia CSIC (GIFT), Madrid, Spain
- OSTI ID:
- 6554533
- Journal Information:
- Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 3:5; ISSN HAJOD
- Country of Publication:
- United States
- Language:
- English
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