A note on thetheoretical existence of invariants: Part II |
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Authors: | E.S. Thomas Steven Bourgault |
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Affiliation: | 1. Department of Mathematics , State University of New York at Albany , New York, Albany, 12222, USA;2. Pace University , |
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Abstract: | We propose a framework in which to study invariants of difference equations with the ultimate goal of establishing the (theoretical) existence of effective invariants. The paper is divided into two parts.Part I began with several examples which illustrated some of the difficulties to be overcome and ended with a discussion of the connection between invariants and decompositions of the phase space.In PartII, which is more topological in nature, we now pursue the theme of invariant decompositions |
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Keywords: | Difference equations Invariants Decompositions |
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