Seminar za računarstvo i primenjenu matematiku, 26. decembar 2017.

Naredni sastanak Seminara biće održan u utorak, 26. decembra 2017. u sali 301f Matematičkog instituta SANU sa početkom u 14:15 časova.

Predavač: Katica Stevanović Hedrih, Matematički institut SANU

Naslov predavanja: TRIGGER OF COUPLED SINGULARITIES IN DYNAMICS OF GENERALIZED ROLLING PENDULUM AND IN ANALOGOUS DYNAMICS

Apstrakt: Lecture starts with a theorem of coupled three singular points and homoclinic phase trajectory in the form of "number eight" defined by lecturer. Dynamics of generalized rolling pendulum is mathematically described and constructions of the phase trajectory portraits, total mechanical energy surface and portraits of curves of constant total mechanical energy are presented with necessary explanations, for each different case. A number of examples is analyzed by use phase trajectory method of nonlinear dynamics. Bifurcation of singular point and layering of corresponding singular points are explained on the considered examples. Using examples of dynamical system with friction a special type of trigger of coupled one side singular points is presented. Based on previous results and extended theory of collision of two bodies in rolling motion, a methodology for investigation a class of vibro-impact dynamics of bodies in translator motion as well as of bodies in rolling motion is presented.



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