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The model uses a dynamic coupled set of logistic differential equations.
Its stationary points are solutions of a coupled set of nonlinear equations.
From this, a coupled set of nonlinear, ordinary differential rate equations can be written directly.
Possible extensions to the coupled set of one-pair and two-pair equations are discussed.
The problem leads to a coupled set of non-linear partial differential equations with time dependent boundary conditions.
In this way a coupled set of Langevin equations is constructed similar to the Rouse model for linear polymer chains.
The implementation is flexible to permit extension in the future to a fully coupled set of non-ambipolar momentum equations.
The Fourier analysis for scalar convection diffusion equations is extended to the coupled set of laminar Navier Stokes equations.
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The finite element method is used to solve these loosely coupled sets of equations.
The approach is based on the Statistical Energy Analysis of two spring-coupled oscillators and sets of oscillators, or coupled continuous subsystems, described by Mace and Ji [The statistical energy analysis of coupled sets of oscillators, Proceedings of the Royal Society A 1824 (2007)].
Generating music data as recordings encodes two coupled sets of information: (a) composer style and (b) performer interpretation of that particular composition.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com