DocumentCode
2148607
Title
On detection of belonging of two points to one trajectory
Author
Demin, A.V.
Author_Institution
St. Petersburg State Univ., Russia
Volume
2
fYear
2003
fDate
20-22 Aug. 2003
Firstpage
534
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN
0-7803-7939-X
Type
conf
DOI
10.1109/PHYCON.2003.1236891
Filename
1236891
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