Conserved quantities in discrete dynamics: what can be recovered from Noether's theorem, how, and why?

DOI10.1007/s11047-012-9336-7zbMath1332.37013OpenAlexW2055509736MaRDI QIDQ256420

Silvio Capobianco, Tommaso Toffoli

Publication date: 9 March 2016

Published in: Natural Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11047-012-9336-7

zbMATH Keywords

energy conservationanalytical mechanics of cellular automataenergy as generator of the dynamicsNoether's theorem in discrete systemssecond-order dynamics

Mathematics Subject Classification ID

Dynamical aspects of cellular automata (37B15)

Cites Work

• Theory of cellular automata: a survey
• How to turn a second-order cellular automaton into a lattice gas: a new inversion scheme
• Invariant in cellular automata
• An Introduction to Symbolic Dynamics and Coding
• Representation of reversible cellular automata with block permutations
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