Rate-Independent Systems

By Alexander Mielke, Tomás Roubícek. 2015

250 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b2e00667e026921c1e64ebf2a22e208e9cf78ff5

Citations in the corpus

• Jump processes as generalized gradient flows (2020, unknown): “ Dρdenote derivatives with respect to ζand ρ. The most well-studied of these are classical gradient flows [AGS08], for which ζ→ DζR∗(ρ,ζ) = K(ρ)ζis a linear operator K(ρ), and rate-independent systems [MR15], for which ζ→ DζR∗(ρ,ζ) is zero-homogeneous. However, various models naturally lead to gradie”