The stability of the equilibria of the Allen–Cahn equation with fractional diffusion
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DOI: 10.1080/00036811.2017.1399360
Abstract: ABSTRACT This paper is mainly concerned with the stability of the equilibria of the Allen–Cahn equation where the standard Laplacian diffusion is replaced by the fractional Laplacian diffusion. We shall show that the state is… read more here.
Keywords: diffusion; cahn equation; stability equilibria; equilibria allen ... See more keywords
Stability of equilibria of discrete-time systems in terms of invariant sets
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DOI: 10.1134/s0012266117110027
Abstract: We suggest a new approach to the verification of the stability (or asymptotic stability) of the equilibria of time-invariant discrete-time systems based on stability and asymptotic stability criteria stated in terms of invariant sets. A… read more here.
Keywords: discrete time; stability equilibria; terms invariant; time ... See more keywords