Simulation of Arravs of Chua Circuits by Composition Methods

摘要

Composition methods are methods arising from differential geometry for the integration of ordinary differential equations. We apply them here to arrays of Chua circuits. In these methods, we split the vector field of the array of Chua circuits into its linear part and its nonlinear part. We then solve the elementary differential equation for each part separately, and recombine these contributions in a sequence of compositions. This gives rise to simple integration rules for arrays of Chua circuits, which we compare to more classical approaches: the fixed time-step explicit Euler and adaptive fourth-order Runge-Kutta methods.