An efficient algorithm for solving piecewise-smooth dynamical systems
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DOI: 10.1007/s11075-021-01154-1
Abstract: This article considers the numerical treatment of piecewise-smooth dynamical systems. Classical solutions as well as sliding modes up to codimension-2 are treated. An algorithm is presented that, in the case of non-uniqueness, selects a solution… read more here.
Keywords: piecewise smooth; algorithm solving; smooth dynamical; efficient algorithm ... See more keywords
Numerical computation of connecting orbits in planar piecewise smooth dynamical system
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DOI: 10.1016/j.jmaa.2016.11.016
Abstract: Abstract In this paper, a numerical algorithm for computing the connecting orbits in piecewise smooth dynamical systems is derived and is analyzed. A nondegenerate condition for the connecting orbit with respect to its bifurcation parameter… read more here.
Keywords: numerical computation; orbits planar; piecewise smooth; connecting orbits ... See more keywords
The infinitesimal phase response curves of oscillators in piecewise smooth dynamical systems
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DOI: 10.1017/s0956792518000128
Abstract: The asymptotic phase θ of an initial point x in the stable manifold of a limit cycle (LC) identifies the phase of the point on the LC to which the flow φt(x) converges as t… read more here.
Keywords: phase; piecewise smooth; phase response; smooth dynamical ... See more keywords