BICRITICAL DYNAMICS OF PERIOD-DOUBLING SYSTEMS WITH UNIDIRECTIONAL COUPLING

DOI10.1142/S0218127491000610zbMath0874.58042OpenAlexW2171404439MaRDI QIDQ4348434

Alexander P. Kuznetsov, Sergey P. Kuznetsov, Igor R. Sataev

Publication date: 14 August 1997

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127491000610

zbMATH Keywords

renormalization group analysisunidirectional couplingperiod-doubling systemsbicriticality

Mathematics Subject Classification ID

Renormalization group methods in equilibrium statistical mechanics (82B28) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos ⋮ Universality and scaling in networks of period-doubling maps with a pacemaker ⋮ Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps

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