Mechanics Colloquim
PROGRAM
PROGRAM ZA MAJ 2008.
Pozivamo Vas da učestvujete u radu sednica Odeljenja i to:
SREDA, 7. maj 2008. u 18 sati:
Prof. Giuseppe Rega,
Dipartimento di Ingegneria Strutturale e Geotecnica,
Sapienza Universitą di Roma
CONTROL OF BIFURCATION, CHAOS AND BASIN INTEGRITY: THEORETICAL
ISSUES AND APPLICATION
Upon shortly addressing a systematic classification of methods for
control of chaos and their applications to mechanical systems, a
~Suniversal~T technique for controlling homoclinic or heteroclinic
bifurcations of a hilltop saddle as the triggering event for the
onset of transient, and possibly steady, chaos is presented. It is
based on optimally choosing the shape of a periodic excitation
applied to the considered system.
Features of dynamic integrity of nonlinear oscillators are analyzed,
by critically reviewing the definition of safe basin of attraction,
the formulation of suitable integrity measures, and the construction
of basin erosion profiles with a varying control parameter.
Hints are given on the practical capability of the control method to
regularize fractal basin boundaries, reduce their erosion, and delay
the occurrence of chaos or escape for various mechanical systems.
The effectiveness of the method as regards controlling the dynamic
pull-in phenomenon in the nonlinear dynamics of an electrically
actuated thermo-elastic micro-beam is specifically addressed by
referring to a relevant minimal reduced-order model. Extensive
numerical simulations highlight the good performances of the method
also beyond theoretical expectations.
Sednice se održavaju u zgradi SANU, Knez Mihailova 35, u sali 2 na prvom
spratu.