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» A review of conservation laws on networks
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NHM
2010
66views more  NHM 2010»
12 years 11 months ago
A review of conservation laws on networks
This paper deals with various applications of conservation laws on networks. In particular we consider the car traffic, described by the LighthillWhitham-Richards model and by the ...
Mauro Garavello
SIAMAM
2011
12 years 11 months ago
Persistence Results for Chemical Reaction Networks with Time-Dependent Kinetics and No Global Conservation Laws
New checkable criteria for persistence of chemical reaction networks are proposed, which extend and complement existing ones. The new results allow the consideration of reaction ra...
David Angeli, Patrick De Leenheer, Eduardo D. Sont...
CDC
2009
IEEE
126views Control Systems» more  CDC 2009»
13 years 9 months ago
On persistence of chemical reaction networks with time-dependent kinetics and no global conservation laws
— New checkable criteria for persistence of chemical reaction networks are proposed, which extend those obtained by the authors in previous work. The new results allow the consid...
David Angeli, Patrick De Leenheer, Eduardo D. Sont...
AMC
2008
99views more  AMC 2008»
13 years 4 months ago
Markov chain network training and conservation law approximations: Linking microscopic and macroscopic models for evolution
In this paper, a general framework for the analysis of a connection between the training of artificial neural networks via the dynamics of Markov chains and the approximation of c...
Roderick V. N. Melnik
CDC
2008
IEEE
102views Control Systems» more  CDC 2008»
13 years 11 months ago
Conservation laws and open systems on higher-dimensional networks
— We discuss a framework for defining physical open systems on higher-dimensional complexes. We start with the formalization of the dynamics of open electrical circuits and the ...
Arjan van der Schaft, Bernhard Maschke