Instant chaos is chaos in slow motion (Q1916813)

Instant chaos means that after the bifurcation of a stable equilibrium in its arbitrary small neighbourhood chaotic behaviour appears. The authors investigate this phenomenon by scaling the spatial and time variables. It is shown if the chaotic attractor is of limited amplitude then it is in slow motion (reaching the bifurcation value the return time tends to infinity). The method generalizes examples (among others the Lorenz attractor) studied earlier.