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Additive conserved quantities in discrete-time lattice dynamical systems - MaRDI portal

Additive conserved quantities in discrete-time lattice dynamical systems (Q1176808)

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scientific article; zbMATH DE number 12569
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Additive conserved quantities in discrete-time lattice dynamical systems
scientific article; zbMATH DE number 12569

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    Additive conserved quantities in discrete-time lattice dynamical systems (English)
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    25 June 1992
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    A necessary and sufficient condition is given for the existence of additive conserved quantities for one-dimensional discrete-time lattice dynamical systems. The authors expect the method to be capable of extension to any translation-invariant lattice with any range of interaction. The condition is used to find additive conserved quantities for cellular automata, and three open problems are stated.
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    existence of additive conserved quantities
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    one-dimensional discrete-time lattice dynamical systems
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    cellular automata
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