Stability (learning theory)

Combinatorics

Physics

Nonlinear system

Topology (electrical circuits)

Lyapunov stability

CHAOS (operating system)

Mathematics

Agronomy

Biology

Machine learning

Artificial intelligence

Controller (irrigation)

Control (management)

Lyapunov exponent

Synchronization of chaos

Synchronization (alternating current)

Computer science

Quantum mechanics

Applied mathematics

Nonlinear dynamical systems

Computer security

Control theory (sociology)

Lyapunov function

Alexandria Engineering Journal

This paper deals with the synchronization between two non-identical 4-D hyperchaotic systems. The nonlinear control technique is used for synchronization. The stability analysis of the error dynamics system is done by (i) Lyapunov's second method and (ii) Cardano's method. Four different expressions of the controller are presented in the paper and a comparison between the two methods are given. We notice that the Cardano's method is better than the Lyapunov approach. Finally, theoretical and numerical simulations are given to illustrate and verify the results.

Chaos synchronization of nonlinear dynamical systems via a novel analytical approach