Searching the solution landscape by generalized high-index saddle dynamics

10 Jul 2020 Yin Jianyuan Yu Bing Zhang Lei

We introduce a generalized numerical algorithm to construct the solution landscape, which is a pathway map consisting of all stationary points and their connections. Based on the high-index optimization-based shrinking dimer (HiOSD) method for gradient systems, a generalized high-index saddle dynamics (GHiSD) is proposed to compute any-index saddles of dynamical systems... (read more)

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  • DYNAMICAL SYSTEMS