Title :
On detection of belonging of two points to one trajectory
Author_Institution :
St. Petersburg State Univ., Russia
Abstract :
The problem of whether two given points belong to one trajectory of given system of nonlinear autonomous differential equations or not is considered. Some variation task with the functional in the form of norm of Hilbert space for set of functions with one parameter is formulated. The solution is given in the form of modified Picard approximations to the solutions of the system of differential equations.
Keywords :
Hilbert spaces; approximation theory; nonlinear differential equations; nonlinear dynamical systems; set theory; Hilbert space; modified Picard approximations; nonlinear autonomous differential equations; nonlinear dynamical systems; sets; trajectory; Chaos; Convergence; Differential equations; Hilbert space; Integral equations; Iterative algorithms; Nonlinear dynamical systems; Numerical models;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236891
