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.
On the boundaries of basins of attraction in piecewise smooth systems
GALVANETTO, UGO
2010
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.
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