SHADOWING AND DYNAMICAL SYNTHESIS.

Authors :: AKHMET, M. U.
Source :: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. Oct2009, Vol. 19 Issue 10, p3339-3346. 8p. 3 Graphs.
Publication Year :: 2009
Abstract: We discuss a system with a discontinuity moments generator to obtain the solutions. It is proven that the system is chaotic and has shadowing property [Anosov, 1967; Bowen, 1975; Hammel et al., 1987; Robinson, 1995] if the generator possesses these characteristics. Illustrative examples are provided. [ABSTRACT FROM AUTHOR]

Subjects :: *SHADOWING theorem (Mathematics)
*DIFFERENTIABLE dynamical systems
*DIFFERENTIAL equations
*GENERATORS (Computer programs)
*CALCULUS

Language :: English
ISSN :: 02181274
Volume :: 19
Issue :: 10
Database :: Academic Search Index
Journal :: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
Publication Type :: Academic Journal
Accession number :: 47022883
Full Text :: https://doi.org/10.1142/S0218127409024797