Parameter renormalization of maps based on potential function

DOI10.1063/1.166227zbMath0938.37027OpenAlexW2019153200WikidataQ52262235 ScholiaQ52262235MaRDI QIDQ4937644

Ikuo Matsuba

Publication date: 9 February 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: http://ojps.aip.org/journal_cgi/getabs?KEY=CHAOEH&cvips=CHAOEH000007000002000278000001&gifs=Yes

zbMATH Keywords

fixed pointsone-dimensional mapsperiodic doublingFeigenbaum universal function

Mathematics Subject Classification ID

Dynamical systems involving maps of trees and graphs (37E25) Renormalization of holomorphic dynamical systems (37F25)

Related Items (2)

Parameter renormalization group approach to noisy one-dimensional maps ⋮ PARAMETER RENORMALIZATION FOR ASYMMETRICALLY COUPLED MAPS

Cites Work

• The universal metric properties of nonlinear transformations
• Three-parameter scaling for one-dimensional maps
• Period doubling for bimodal maps: a horseshoe for a renormalisation operator
• A computer-assisted proof of the Feigenbaum conjectures

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