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Poincaré section at x2 − x1 + y2 − y1 = 0. Nonlinear parameters are ɛ = 0 (Top), ɛ = 0.25 (Middle), and ɛ = 0.50 (Bottom). The horizontal and vertical axis are x1, y2, respectively. Initial conditions are given as (x1,x2,x3,y1,y2,y3) = (0.5,0.01k,0.5 − 0.01k,0.5,0.25,0.25) with k = 1, 2, … , 25. We used a fourth-order symplectic integrator (10) for the canonical form of Hamiltonian (see Notes).
