We will use MatCont to start homoclinic orbits that emanate BT points in several models 1 . Recall that in the GUI of MatCont k is denoted as TTolerance. In all examples, we will set TTolerance=10 − 5 (k). As a rule, the amplitude (A) should always be larger than TTolerance given the geometric meaning of both variables, cf. Figure 1. In all cases, ε 0 and ε 1 are the free homoclinic parameters since this appears to be the most stable choice. As another rule, the BT point itself should be computed to a geometric precision signifi cantly smaller than TTolerance. This can be achieved in MatCont by decreasing the tolerances VarTolerance and TestTolerance for the curve on which the BT points are detected.

labinithom.pdf

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