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Lyapunov maps, simplicial complexes and the Stone functor

  • Joel W. Robbin (a1) and Dietmar A. Salamon (a2)

Let be an attractor network for a dynamical system ft: MM, indexed by the lower sets of a partially ordered set P. Our main theorem asserts the existence of a Lyapunov map ψ:MK(P) which defines the attractor network. This result is used to prove the existence of connection matrices for discrete-time dynamical systems.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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