| Abstract: |
| We carry out the global qualitative analysis of multi-parameter biomedical dynamical systems.
First, using new bifurcational geometric methods, we solve Hilbert`s Sixteenth Problem
on the maximum number of limit cycles and their distribution for the 2D Holling-type quartic
dynamical system and Kukles cubic-linear system. Then, applying a similar approach, we complete
the strange attractor bifurcation scenario for the 3D Lorenz-type system connecting globally
the homoclinic, period-doubling, Andronov-Shilnikov, and period-halving bifurcations of
its limit cycles which is related to Smale`s Fourteenth Problem. |
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