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Talk abstract:
Qualitatively numerical analysis of some concrete models with non-trivial
dynamics
Andrey Shilnikov, Institute Appl. Math & Cybernetics
The talk includes fragmentarily some aspects of the analysis of a few
Lorenz-like
systems (3D symmetrical and asymmetrical classical models, 14D model,
Shimizu-Marioka
system), in particular, details of detection of the region of existence
of the Lorenz
attractor in the parameter space. The idea begins mainly with selection
of codimension-two
homoclinic bifurcations.
A recent result on a "blue-sky catastrophe"bifurcation of
codimension one for periodic orbits
and its connection with dynamics in biophysical models are also discussed.
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