Title :
Means for detecting chaos and hyperchaos in nonlinear electronic circuits
Author :
Giannakopoulos, K. ; Deliyannis, T. ; Hadjidemetriou, J.
Author_Institution :
Dept. of Phys., Patras Univ., Greece
Abstract :
Methods and means for detecting chaos and hyperchaos in nonlinear electronic circuits are summarized. The Lyapunov exponents, the Lyapunov dimension and the Poincare maps are used to confirm hyperchaos in an autonomous hyperchaotic oscillator. The hyperchaotic oscillator circuit is described by a set of four differential equations. Results from simulation of the proposed oscillator fully coincide with experimental results.
Keywords :
Lyapunov methods; Poincare mapping; chaos generators; difference equations; nonlinear network analysis; oscillators; Lyapunov dimension; Lyapunov exponents; Poincare maps; autonomous hyperchaotic oscillator; chaos detection; differential equations; hyperchaos detection; nonlinear electronic circuits; simulation results; Bifurcation; Chaos; Chaotic communication; Differential equations; Electronic circuits; Laboratories; Nonlinear dynamical systems; Numerical analysis; Oscillators; Physics;
Conference_Titel :
Digital Signal Processing, 2002. DSP 2002. 2002 14th International Conference on
Print_ISBN :
0-7803-7503-3
DOI :
10.1109/ICDSP.2002.1028247
