Invariants of twist-wise flow equivalence

Michael C. Sullivan

doi:10.3934/dcds.1998.4.475

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1998, Volume 4, Issue 3: 475-484. Doi: 10.3934/dcds.1998.4.475

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Invariants of twist-wise flow equivalence

Michael C. Sullivan^1,

1.
Department of Mathematics, Southern Illinois University, Carbondale, IL 62901

Received: August 31, 1997

Revised: November 30, 1997

Published: June 1998

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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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Mathematics Subject Classification: Primary: 58F25, 58F13; Secondary: 58F20, 58F03.

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