# American Institute of Mathematical Sciences

July  1998, 4(3): 475-484. doi: 10.3934/dcds.1998.4.475

## Invariants of twist-wise flow equivalence

 1 Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, United States

Received  September 1997 Revised  December 1997 Published  April 1998

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.
Citation: Michael C. Sullivan. Invariants of twist-wise flow equivalence. Discrete & Continuous Dynamical Systems - A, 1998, 4 (3) : 475-484. doi: 10.3934/dcds.1998.4.475
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