This week's seminars
Applied Mathematics Seminars: Birth of discrete Lorenz attractors in global bifurcations
14 December 2018 15:00 in CM301
Discrete Lorenz attractors are chaotic attractors, which are the discrete-time analogues of the well-known Lorenz attractors in differential equations. They are true strange attractors, i.e. they do not contain simpler regular attractors such as stable periodic orbits. In addition, this property is preserved also under small perturbations. Thus, the Lorenz attractors, discrete and continuous, represent the so-called robust chaos.
In the talk I will present a list of global (homoclinic and heteroclinic) bifurcations, in which it was possible to prove the appearance of discrete Lorenz attractors in the Poincare map. In some cases in was also possible to prove the coexistence of infinitely many attractors.
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