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In all Poincaré sections, 13 tracer particles are advected numerically for 500 periods. The angular speed of the tumbler is ωz =2π in the clockwise direction and its side length is S=√2.
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Strictly speaking, streamline jumping and PWI dynamics are only present when ε≡0; however, for 0<ε 1, V̄ surf 1, and δ0 (t) 1, and (as in perturbation theory) the ε=0 behavior is the "skeleton" of the dynamics close to this state (Fig. ). Also, in this context, 500 periods can be considered a "short" time.
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Strictly speaking, streamline jumping and PWI dynamics are only present when ε≡0; however, for 0<ε 1, V̄ surf 1, and δ0 (t) 1, and (as in perturbation theory) the ε=0 behavior is the "skeleton" of the dynamics close to this state (Fig. ). Also, in this context, 500 periods can be considered a "short" time.
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