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1 Abstract This study critically analyses the information-theoretic, axiomatic and combinatorial philosophical bases of the entropy and cross-entropy concepts. The combinatorial basis is shown to be the most fundamental (most primitive) of these three bases, since it gives (i) a derivation for the Kullback-Leibler cross-entropy and Shannon entropy… (More)

- Robert K. Niven
- 2009

This study examines a new formulation of non-equilibrium thermodynamics, which gives a conditional derivation of the " maximum entropy production " (MEP) principle for flow and/or chemical reaction systems at steady state. The analysis uses a dimen-sionless potential function φ st for non-equilibrium systems, analogous to the free energy concept of… (More)

- Julien Gout, Markus Quade, Kamran Shafi, Robert K. Niven, Markus Abel
- ArXiv
- 2016

Networks of coupled dynamical systems provide a powerful way to model systems with enormously complex dynamics, such as the human brain. Control of synchronization in such networked systems has far reaching applications in many domains, including engineering and medicine. In this paper, we formulate the synchronization control in dynamical systems as an… (More)

- Robert K. Niven
- 2004

The exact Maxwell-Boltzmann (MB), Bose-Einstein (BE) and Fermi-Dirac (FD) entropies and probabilistic distributions are derived by the combinatorial method of Boltzmann, without Stirling's approximation. The new entropy measures are explicit functions of the probability and degeneracy of each state, and the total number of entities, N. By analysis of the… (More)

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