Title :
On the Boundaries of Basins of Attraction in Piecewise Smooth Systems
Author :
Colombo, Alessandro ; Galvanetto, Ugo
Author_Institution :
Dept. of Electron. & Inf., Politec. di Milano, Milan, Italy
Abstract :
Multistability, or coexistence of multiple attractors, is a common and potentially dangerous property of all but the most trivial engineering systems. This paper discusses a numerical method for the analysis of basins of attractions in systems that, due to the presence of friction, switches, or other intrinsic discontinuities, are described by discontinuous differential equations.
Keywords :
differential equations; friction; mechanical engineering; mechanical stability; systems engineering; a numerical analysis; basins of attractions; discontinuous differential equations; engineering systems; friction; intrinsic discontinuities; multistability; piecewise smooth systems; Design engineering; Differential equations; Friction; Geometry; Oscillators; Robustness; State-space methods; Switches; Systems engineering and theory; Transportation; discontinuous; dynamical system; friction oscillator; numerical method; piecewise smooth;
Conference_Titel :
Complexity in Engineering, 2010. COMPENG '10.
Conference_Location :
Rome
Print_ISBN :
978-1-4244-5982-7
DOI :
10.1109/COMPENG.2010.41
