The Application of Topological Methods to the Kinetics of Homogeneous Reactors
- 1 October 1959
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 6 (4) , 341-349
- https://doi.org/10.13182/nse59-a28854
Abstract
The step and ramp responses of homogeneous reactors with a single negative temperature coefficient of reactivity and delayed neutrons are studied by means of topological methods. The properties of stability in the small and in the large are derived for the first time and particular solutions are found. An approximate analytical solution is also proposed in the case of no heat losses (adiabatic reactor model) and small or large reactivity variation.Keywords
This publication has 4 references indexed in Scilit:
- Stability criteria for linear systems and realizability criteria for RC networksMathematical Proceedings of the Cambridge Philosophical Society, 1957
- Applications of Liapounov's Second Method in Reactor DynamicsJournal of Mathematics and Physics, 1957
- Some aspects of non-linear reactor dynamicsPhysica, 1954
- Kinetics of the Circulating-Fuel Nuclear ReactorJournal of Applied Physics, 1954