 Let us start with the property of SDIC and distinguish weak and strong forms of sensitive dependence (somewhat following Smith 1998). Weak sensitive dependence can be characterized as follows. Consider the propagator, \(\bJ(\bx(t))\), a function that evolves trajectories \(\bx(t)\) in time (an example of a propagator is given in the Appendix). Let \(\bx(0)\) and \(\by(0)\) be initial conditions for two different trajectories. Then, weak sensitive dependence can be defined as 