Enabling equation-free modeling via diffusion maps

DOI10.1007/S10884-021-10127-WarXiv2112.15159OpenAlexW4210654242WikidataQ114225773 ScholiaQ114225773MaRDI QIDQ6196031

Paul Carter, Clayton Sanford, Jacob Ruth, Björn Sandstede, Tracy Chin, Rebecca Santorella

Publication date: 14 March 2024

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.15159

zbMATH Keywords

bifurcation analysisdiffusion mapsequation-free modeling

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Computational methods for bifurcation problems in dynamical systems (37M20) Multiple scale methods for ordinary differential equations (34E13)

Cites Work

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• Multiple time scale dynamics
• Diffusion maps
• Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis
• Implicit Methods for Equation-Free Analysis: Convergence Results and Analysis of Emergent Waves in Microscopic Traffic Models
• Diffusion Maps, Reduction Coordinates, and Low Dimensional Representation of Stochastic Systems
• The Numerical Computation of Connecting Orbits in Dynamical Systems
• Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
• Coarse-grained dynamics of an activity bump in a neural field model

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