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This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems following peer review. The definitive publisher-authenticated version "Invariants of twist-wise flow equivalence," Discrete and Continuous Dynamical Systems, 4(3), 475 - 484 is available online at: http://aimsciences.org/journals/dcdsA/online.jsp

Abstract

Flow equivalence of irreducible nontrivial square nonnegative integer matrices is completely determined by two computable invariants, the Parry-Sullivan number and the Bowen-Franks group. Twist-wise flow equivalence is a natural generalization that takes account of twisting in the local stable manifold of the orbits of a flow. Two new invariants in this category are established.

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