Title :
Minimal attractor embedding dimension for discrete dynamic system using state-space method: theoretical ground
Author :
Krot, Alexander M. ; Minervina, H.B.
Author_Institution :
Inst. of Eng. Cybern., Acad. of Sci., Minsk, Byelorussia
Abstract :
The theoretical substantiation of a locally topological method for defining a minimum attractor embedding dimension on the basis of state-space method of a dynamic system description is supposed. The numerical modeling of various types of discrete dynamic systems on the computer is carried out with the purpose of verification of theoretical principles, which are the underlying principles for a minimum dimension computation method of such system attractor embedding
Keywords :
chaos; discrete systems; nonlinear dynamical systems; self-adjusting systems; stability; state-space methods; discrete dynamic system; discrete dynamic systems; locally topological method; minimal attractor embedding dimension; minimum dimension computation method; numerical modeling; state-space method; Chaos; Computational complexity; Cybernetics; Differential equations; Embedded computing; Nonlinear dynamical systems; Numerical models; Space technology; State-space methods; Sufficient conditions;
Conference_Titel :
Electronics, Circuits and Systems, 1999. Proceedings of ICECS '99. The 6th IEEE International Conference on
Conference_Location :
Pafos
Print_ISBN :
0-7803-5682-9
DOI :
10.1109/ICECS.1999.813387
