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- Title
STATISTICAL MEASURES AND DIFFUSION DYNAMICS IN A MODIFIED CHUA'S CIRCUIT EQUATION WITH MULTISCROLL ATTRACTORS.
- Authors
SAKTHIVEL, G.; RAJASEKAR, S.; THAMILMARAN, K.; DANA, SYAMAL KUMAR
- Abstract
In this paper the focus is set on a modified Chua's circuit model equation with saw-tooth function in place of piecewise linear function of Chua's circuit displaying multiscroll chaotic attractors. We study the characteristic properties of first passage times (tFPTs) to nth scroll chaotic attractor, residence times (tRTs) on a scroll attractor and returned times (tRETs) to the middle-scroll attractor. tFPTs exhibit a series of Gaussian-like distribution followed by a long tail continuous distribution. tRTs and tRETs show completely discrete distribution. Power-law variation of mean values of tFPTs, tRTs and tRETs with a control parameter is found. On the other hand, mean values of tFPTs and tRETs have linear dependence with the number of scroll attractors for fixed values of the control parameter. For the system with infinite scroll chaotic attractors normal diffusive motion occurs. In the normal diffusion process the mean square displacement grows linearly with time.
- Subjects
ATTRACTORS (Mathematics); ELECTRIC circuits; PIECEWISE linear approximation; CHAOS theory; DYNAMICS; DIFFUSION; DISPLACEMENT (Mechanics)
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2012, Vol 22, Issue 1, p1250004-1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127412500046