Multi-time Euler-Lagrange dynamics
ISTASC'07 Proceedings of the 7th Conference on 7th WSEAS International Conference on Systems Theory and Scientific Computation - Volume 7
Lagrangians constructed from Hamiltonian systems
MCBE'08 Proceedings of the 9th WSEAS International Conference on Mathematics & Computers In Business and Economics
Hi-index | 0.00 |
This paper deines and studies the two-time stochastic dynamical systems that are connected to two-time stochastic laws of motion. Section 1 formulates and studies the two-time stochastic flows on manifolds. Section 2 referes to the HU principle wich unifies the Hamiltonian and Lagarangian description of a dynamical system based on curvilinear integral actions. Our action integral consists of two path dependent curvilinear integrals and one path dependent Stratonovich curvilinear integral. The stochastic extremals are solutions of two-time stochastic Euler-Lagrange-Pfaff equations, describing a geometrical distribution.