Simulation of Arrays of Chua Circuits by Composition Methods

1 This report is available by anonymous ftp from ftp.esat.kuleuven.ac.be in the directory pub/SISTA/moreau/reports/. The missing gures, which have been excluded because they are diicult to print, are available separately in the le chua gures.ps. Abstract. Composition methods are methods arising from diierential geometry for the integration of ordinary diierential equations. We apply them here to arrays of Chua circuits. In these methods, we split the vector eld of the array of Chua circuits into its linear part and its nonlinear part. We then solve the elementary diierential 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 xed time-step explicit Euler and adaptive fourth-order Runge-Kutta methods.