Manifold reconnection and diffusion in strong chaos
type: Item
instance of: scholarly article
title: Manifold reconnection and diffusion in strong chaos
zbMATH Open document ID: 0969.37018
DOI: 10.1016/S0167-2789(00)00063-4
published in: Physica D
publication date: 2001-09-25T00:00:00Z
review text: This paper studies the diffusion behaviour over a chaotic reconnecting zone of a nontwist quadratic map. The effect of reconnections on the diffusion coefficient is analysed. The local diffusion coefficient is computed numerically by means of an infinite series involving angular correlation coefficients. It is shown that the diffusion coefficient is enhanced from lower to higher values as a reconnection-like process takes place.
reviewed by: Govindan Rangarajan
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37C05
Mathematics Subject Classification ID: 37M10
zbMATH DE Number: 1523391
zbMATH Keywords: diffusion
zbMATH Keywords: Fick's law
zbMATH Keywords: bifurcation
author: S. D. Prado
author: G. Corso
MaRDI profile type: Publication
cites work: Renormalization and transition to chaos in area preserving nontwist maps
cites work: Generic twistless bifurcations
cites work: Q4167627
cites work: On the symplectically invariant variational principle and generating functions
cites work: Symplectic maps, variational principles, and transport
cites work: Nonmonotonic twist maps
cites work: Threshold to global diffusion in a nonmonotonic map with quadratic nonlinearity.
cites work: Regular and stochastic motion
cites work: Chaotic transport by Rossby waves in shear flow
cites work: Calculation of Turbulent Diffusion for the Chirikov-Taylor Model
cites work: Non-linear diffusion in Hamiltonian systems exhibiting chaotic motion
cites work: Correlations of periodic, area-preserving maps
cites work: Normal and anomalous diffusion in a deterministic area-preserving map
cites work: Area preserving nontwist maps: Periodic orbits and transition to chaos
cites work: Q5558293
full work available at URL: s0167-2789(00)00063-4
OpenAlex ID: W2022024425
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description: scientific article; zbMATH DE number 1523391