학술논문

The role of initial conditions in the synchronization problem
Document Type
Conference
Source
1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329) Control of oscillations and chaos Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference. 1:42-45 vol.1 1997
Subject
Robotics and Control Systems
Chaos
Equations
Argon
Coupling circuits
Educational institutions
Shape
Analytical models
Numerical simulation
Numerical models
Displays
Language
Abstract
We show the numerical evidence of a case of desynchronized behaviour in two mutual y-coupled Chua's circuits with negative conditional Lyapunov exponents (CLE). In this case the synchronized state strongly depends on the initial conditions in the two circuits according to the shape of the basin of attraction. Crossing the basin's boundaries from synchronized to desynchronized phase, the maximum CLE, even showing a sharp transition, has always a negative value. We suggest two different ways to calculate the CLE to obtain more information about the desynchronized state.