Alexander Holiday, Mahdi Kooshkbaghi, Juan M Bello-Rivas, C William Gear, Antonios Zagaris, Ioannis G Kevrekidis
Large scale dynamical systems (e.g. many nonlinear coupled differential equations) can often be summarized in terms of only a few state variables (a few equations), a trait that reduces complexity and facilitates exploration of behavioral aspects of otherwise intractable models. High model dimensionality and complexity makes symbolic, pen-and-paper model reduction tedious and impractical, a difficulty addressed by recently developed frameworks that computerize reduction. Symbolic work has the benefit, however, of identifying both reduced state variables and parameter combinations that matter most ( effective parameters , "inputs"); whereas current computational reduction schemes leave the parameter reduction aspect mostly unaddressed...
September 1, 2019: Journal of Computational Physics