Title :
Scaling properties of multimode dynamics in coupled chaotic oscillators
Author :
Ziganshin, Amir R. ; Pavlov, Alexey N.
Author_Institution :
Dept. of Phys., Saratov State Univ., Russia
Abstract :
In this paper we investigate the scaling properties of return-time sequences produced by a system of two coupled chaotic oscillators. Using the wavelet based multifractal formalism we show that transitions through the boundary of the synchronization region can significantly reduce the degree of multiscality in the characteristic time intervals. Features of entrainment in systems of interacting units with several temporal scales are discussed, and experimental results for coupled nephrons of the kidney are analyzed.
Keywords :
chaos; coupled circuits; fractals; kidney; nonlinear dynamical systems; oscillators; synchronisation; wavelet transforms; coupled chaotic oscillators; coupled nephrons; interacting units; kidney; multimode dynamics; multiscality; nonlinear dynamics; return-time sequence; scaling properties; synchronization region; temporal scales; wavelet based multifractal formalism; Chaos; Chaotic communication; Fluctuations; Fractals; Motion analysis; Nonlinear systems; Oscillators; Physics; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN :
0-7803-9235-3
DOI :
10.1109/PHYCON.2005.1513974
