Attractors of random dynamical systems over \(p\)-adic numbers and a model of ``noisy cognitive processes.

DOI10.1016/S0167-2789(99)00011-1zbMath1066.91599MaRDI QIDQ1809124

Daniel Dubischar, Oliver Steinkamp, Gundlach, Volker Matthias, Andrei Yu. Khrennikov

Publication date: 1999

Published in: Physica D (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Cognitive psychology (91E10) Algebraic number theory: local fields (11S99) Bifurcation theory for random and stochastic dynamical systems (37H20)

Related Items (10)

On a class of rational \(p\)-adic dynamical systems ⋮ Criteria of ergodicity for \(p\)-adic dynamical systems in terms of coordinate functions ⋮ A polynomial \(p\)-adic dynamical system ⋮ A note on the perturbed monomial mapping ⋮ On the chaotic behavior of a generalized logistic \(p\)-adic dynamical system ⋮ Limit behaviour of sums of independent random variables with respect to the uniform \(p\)-adic distribution ⋮ On recent results of ergodic property for \(p\)-adic dynamical systems ⋮ On the number of cycles of \(p\)-adic dynamical systems ⋮ ON ERGODIC BEHAVIOR OF p-ADIC DYNAMICAL SYSTEMS ⋮ Small denominators in complex \(p\)-adic dynamics

Cites Work

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• p-adic space-time and string theory
• p-adic quantum mechanics
• A random fixed point theorem and the random graph transformation
• \(p\)-adic numbers and renormalization of eigenfunctions in quantum mechanics
• \(p\)-adic dynamical systems
• Modeling Brain Function
• Representations of the Weyl group in spaces of square integrable functions with respect top-adic valued Gaussian distributions

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