VARIETY OF TYPES OF CRITICAL BEHAVIOR AND MULTISTABILITY IN PERIOD-DOUBLING SYSTEMS WITH UNIDIRECTIONAL COUPLING NEAR THE ONSET OF CHAOS

DOI10.1142/S0218127493000106zbMath0900.70329MaRDI QIDQ4343153

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

Publication date: 30 March 1998

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

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50)

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Noise-induced quasiperiodicity in a ring of unidirectionally-coupled nonidentical maps ⋮ Logistic-like and Gauss coupled maps: the born of period-adding cascades ⋮ A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos ⋮ Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps ⋮ Period-doubling for two-dimensional non-invertible maps: Renormalization group analysis and quantitative universality ⋮ PARAMETER RENORMALIZATION FOR ASYMMETRICALLY COUPLED MAPS

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