Discontinuous Bifurcations under 2-DOF Vibroimpact System Moving

Dynamic behaviour of strongly nonlinear non-smooth discontinuous vibroimpact system isstudied. Under variation of system parameters we find the disconti nuousbi furcati onsthat are the dangerousones. It is phenomenon unique to non-smooth systems with discontinuous right-hand side. We investigate the 2-DOF vibroimpact system by numerical parameter continuation method in conjunction with shooting and Newton-Raphson methods, Wife simulate the impact by nonlinear contact interactive force according to Hertz's contact law. We find the discontinuous bifurcations by Floquet multipliers values. At such points set-valued Floquet multipliers cross the unit circle by jump that istheir moduli becoming more than unit by jump. Wealso learn the bifurcation picture change when the impact between system bodi es became the soft one due the change of system parameters, This paper is the continuation of the previous works

Critical homoclinics in a restricted four body problem: numerical continuation and center manifold computations

The present work studies the robustness of certain basic homoclinic motions in an equilateral restricted four body problem. The problem can be viewed as a two parameter family of conservative autonomous vector fields. The main tools are numerical continuation techniques for homoclinic and periodic orbits, as well as formal series methods for computing normal forms and center stable/unstable manifold parameterizations. After careful numerical study of a number of special cases we formulate several conjectures about the global bifurcations of the homoclinic families.Comment: 38 pages, 21 figures, fixed several typos, expanded the introduction and added a new appendix about numerical continuation of orbit

Sensitivity of energy system investments to policy regulation changes: Application of the blue sky catastrophe

In this paper we argue, that the interaction of technology and economic policy regulations in the energy sector may be described by the so-called slow-fast class of dynamical systems. It is known that such systems may exhibit the blue sky catastrophe, a special type of bifurcation. Application of this result allows us to argue that caution is needed when updating economic policies in the energy sector to avoid the onset of catastrophic developments in the system's transformation, when energy system dynamics becomes unresponsive to policy updates

Concept Store #2: Possible, Probable and Preferable Futures

Possible, Probable and Preferable Futures Launched in 2008 and running to three volumes Concept Store reflects on Arnolfini’s programme, as well as wider concerns providing a discursive space for commissioned texts, artists’ contributions, interviews and experiment. Issue 2 includes contributions by Heiremans & Vermeir, Francesc Ruiz, Graham Gussin, Herman Chong, Tommy Stockel, Marjolin Dijkman, Neil Cummings & Marysia Lewandowsa, Dieter Roelstraate, Max Gane, Bifo, Richard Grussin, Will Holder, Mark von Schlegell, Laura Oldfield Ford, Liu Ding, Geoff Cox, Nav Haq, Tom Trevor, Metahaven, Kianoosh vahebi and Cher Potter Published under a copyleft licenc

The Cowl - v.80 - n.2 - Sep 17, 2015

The Cowl - student newspaper of Providence College. Volume 80 - No. 2 - September 17, 2015. 24 pages