Title :
Chaotic dynamics in multidimensional control systems
Author :
Belykh, Vladimir N.
Author_Institution :
Volga State Acad. of Water Transp., Nizhny Novgorod, Russia
Abstract :
The rigorous analysis of the classical multidimensional control system containing one nonlinear function is presented. The theorem of the existence of the various homo-heteroclinic linkages being an effective criterion of chaotic behavior is proved. The general geometric chaotic models expressed in terms of explicitly defined maps are introduced. Several new strange attractors as well as chaotic structures of the array of coupled systems are exhibited
Keywords :
Lyapunov methods; chaos; dynamics; matrix algebra; multidimensional systems; chaotic dynamics; coupled systems; existence theorem; geometric chaotic models; homo-heteroclinic linkages; multidimensional control systems; nonlinear function; strange attractors; Chaos; Control systems; Control theory; Couplings; Multidimensional systems; Nonlinear control systems; Nonlinear dynamical systems; Orbits; Solid modeling; Transportation;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.633498
