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Analysis on the globally exponent synchronization of Chua’s circuit using absolute stability theory. (English) Zbl 1094.37502
Summary: The absolute stability theory and methodology for nonlinear control systems are employed to study the well-known Chua circuit. New results are obtained for the globally exponent synchronization of two Chua circuits. The explicit formulas can be easily applied in practice. With the aid of constructing Lyapunov functions, sufficient conditions are derived, under which two (drive-response) Chua circuits are globally and exponentially synchronized, even if the motions of the systems are divergent to infinity. Numerical simulation results are given to illustrate the theoretical predictions.
MSC:
37D45Strange attractors, chaotic dynamics
34C15Nonlinear oscillations, coupled oscillators (ODE)
34D20Stability of ODE