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Recent advances. MR 3. Gianni Arioli , Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem , Comm. Maria C. Systems 20 , no.

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Robert W. Easton , Isolating blocks and symbolic dynamics , J. Differential Equations 17 , 96— Easton , Orbit structure near trajectories biasymptotic to invariant tori , Classical mechanics and dynamical systems Medford, Mass. MR Robert Easton , Isolating blocks and epsilon chains for maps , Phys. D 39 , no. Systems 5 , no. Roumaine Math. Pures Appl. Marian Gidea and Clark Robinson , Symbolic dynamics for transition tori. Hasselblatt and A. Katok eds. Jaroslaw Kwapisz , Cocyclic subshifts , Math.

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Konstantin Mischaikow , Topological techniques for efficient rigorous computation in dynamics , Acta Numer. Mrozek, Leray functor and cohomological Conley index for discrete dynamical systems , Trans. MR 90f Marian Mrozek , An algorithm approach to the Conley index theory , J. Differential Equations 11 , no. Richeson and J. Wiseman, Index systems and symbolic dynamics , in preparation.

Robbin and D. Systems 8 , Charles Conley Memorial Issue, MR 89h Stability, symbolic dynamics, and chaos. Szymczak , The Conley index for discrete semidynamical systems , Topology Appl. Andrzej Szymczak , The Conley index and symbolic dynamics , Topology 35 , no. Vandervorst , and W.

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Jim Wiseman , Detection of renewal system factors via the Conley index , Trans. Applications , J. Differential Equations , no. MR 94f 2. MR 95m 3. Arioli, Periodic orbits, symbolic dynamics and topological entropy for the restricted -body problem , Comm. MR j 4. Bowen and J.

Franks, Homology for zero-dimensional nonwandering sets , Ann. MR 5. Carbinatto, J. Kwapisz, and K. MR e 6. Day, R. Frongillo, and R. Ask Question.

Dynamical systems : stability, symbolic dynamics, and chaos

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