Simplified gentlest ascent dynamics for saddle points in non-gradient systems

DOI10.1063/1.5046819zbMath1408.37050arXiv1807.00654OpenAlexW2962785463WikidataQ60143601 ScholiaQ60143601MaRDI QIDQ4644738

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Publication date: 8 January 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00654

zbMATH Keywords

saddle pointsAllen-Cahn equationgentlest ascent dynamics

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Computational methods for bifurcation problems in dynamical systems (37M20) Stability theory for smooth dynamical systems (37C75)

Related Items (4)

Switched diffusion processes for non-convex optimization and saddle points search ⋮ Stochastic dynamics of an active particle escaping from a potential well ⋮ Searching the solution landscape by generalized high-index saddle dynamics ⋮ Active learning for saddle point calculation

Cites Work

• Iterative minimization algorithm for efficient calculations of transition states
• A numerical method for the study of nucleation of ordered phases
• Multiscale gentlest ascent dynamics for saddle point in effective dynamics of slow-fast system
• The gentlest ascent dynamics
• Random Perturbations of Dynamical Systems
• Shrinking Dimer Dynamics and Its Applications to Saddle Point Search
• Study of the noise-induced transition and the exploration of the phase space for the Kuramoto–Sivashinsky equation using the minimum action method
• Minimum action method for the study of rare events
• Model the nonlinear instability of wall-bounded shear flows as a rare event: a study on two-dimensional Poiseuille flow
• An Iterative Minimization Formulation for Saddle Point Search

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