Computational quest for Kaos-land
Xing, Tingli · Wojcik, Jeremy · Zaks, Michael A. · Shilnikov, Andrey L.
Original · EN
Using bi-parametric sweeping based on symbolic representation we reveal self-similar fractal structures induced by hetero- and homoclinic bifurcations of saddle singularities in the parameter space of two systems with deterministic chaos. We start with the system which displays several homoclinic bifurcations of higher codimension: resonant saddle, orbit-flip and inclination switch that all give rise to the onset of the Lorenz-type attractor in Z₂-systems with the homoclinic butterfly. The second system is the classic Lorenz model of 1963, originated in fluid mechanics.
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