Fitting trapping regions for Chua's attractor - A novel method based on isochronic lines

We present in this paper a novel method for fitting trapping regions for a Spiral Chua's attractor. For the values: sigma(0) = -0.465716..., gamma(0) = 0.0932544..., k = 0.3279262..., sigma(1) = 0.4152731..., gamma(1) = -0.3446764... of the parameters, the iterates of the attractor belong to two trapping regions P-1 and P-3 we construct with this method based uniquely on the isochronic lines. Both P-1 and P-3 are bounded accurately with more than 450 segments of isochronic lines. We show graphically that the inclusions pi(P-1) subset of P-3, pi(P-3) subset of P-1 hold. The traps for the half-Poincare map no have to be constructed.