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Entropy 2010, 12(4), 706-719; doi:10.3390/e12040706
Article

Entropy-Related Extremum Principles for Model Reduction of Dissipative Dynamical Systems

1,2
Received: 12 February 2010; in revised form: 23 March 2010 / Accepted: 1 April 2010 / Published: 1 April 2010
(This article belongs to the Special Issue Entropy in Model Reduction)
Download PDF [1808 KB, uploaded 1 April 2010]
Abstract: Chemical kinetic systems are modeled by dissipative ordinary differential equations involving multiple time scales. These lead to a phase flow generating anisotropic volume contraction. Kinetic model reduction methods generally exploit time scale separation into fast and slow modes, which leads to the occurrence of low-dimensional slow invariant manifolds. The aim of this paper is to review and discuss a computational optimization approach for the numerical approximation of slow attracting manifolds based on entropy-related and geometric extremum principles for reaction trajectories.
Keywords: model reduction; slow invariant manifolds; chemical kinetics; extremum principles; entropy concepts model reduction; slow invariant manifolds; chemical kinetics; extremum principles; entropy concepts
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Lebiedz, D. Entropy-Related Extremum Principles for Model Reduction of Dissipative Dynamical Systems. Entropy 2010, 12, 706-719.

AMA Style

Lebiedz D. Entropy-Related Extremum Principles for Model Reduction of Dissipative Dynamical Systems. Entropy. 2010; 12(4):706-719.

Chicago/Turabian Style

Lebiedz, Dirk. 2010. "Entropy-Related Extremum Principles for Model Reduction of Dissipative Dynamical Systems." Entropy 12, no. 4: 706-719.


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