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• W2513844865 startingPage "3346" @default.
• W2513844865 abstract "It is well known that the homoclinic theorem, which conjugates a map near a transversal homoclinic orbit to a Bernoulli subshift, extends from invertible to specific noninvertible dynamical systems. In this paper, we provide a unifying approach that combines such a result with a fully discrete analog of the conjugacy for finite but sufficiently long orbit segments. The underlying idea is to solve appropriate discrete boundary value problems in both cases, and to use the theory of exponential dichotomies to control the errors. This leads to a numerical approach that allows us to compute the conjugacy to any prescribed accuracy. The method is demonstrated for several examples where invertibility of the map fails in different ways." @default.
• W2513844865 created "2016-09-16" @default.
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• W2513844865 date "2016-09-09" @default.
• W2513844865 modified "2023-10-18" @default.
• W2513844865 title "Symbolic coding for noninvertible systems: uniform approximation and numerical computation" @default.
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• W2513844865 doi "https://doi.org/10.1088/0951-7715/29/11/3346" @default.
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