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Changes in the dynamical behavior of nonlinear systems induced by noise

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Figure

Fig. 1 close to the bifurcation point. At the bifurcation point a stableLet us consider a system described by a one-dimensional map that can be presented as shown infuses with an unstable one, "xed point of the map, M�, M�, and disappears
Fig. 2. Dependence of b�¹ on a in the case where ���/��;1 for ��"0 (curves labelled 1), ��"0.1 (curves labelled 2),"0.2 (the curves labelled 3), for: (a) �"0; and (b) �"1.
Fig. 3. Dependence of b¹ on �� in the case where ���/��;1 for a"!0.5 (curves labelled 1), a"0 (curves labelled 2),a"0.5 (curves labelled 3), for: (a) �"0; and (b) �"1.
Fig. 4. An example of a saw-tooth potential ;(x).
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