TWO-PARAMETER STUDY OF TRANSITION TO CHAOS IN CHUA'S CIRCUIT: RENORMALIZATION GROUP, UNIVERSALITY AND SCALING

DOI10.1142/S0218127493000799zbMath0894.58043OpenAlexW2095481297MaRDI QIDQ4379116

Leon O. Chua, Alexander P. Kuznetsov, Igor R. Sataev, Sergey P. Kuznetsov

Publication date: 7 September 1998

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

Full work available at URL: https://doi.org/10.1142/s0218127493000799

zbMATH Keywords

renormalization groupscalinguniversalitydynamics of Chua's circuit

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (12)

Metric universalities and systems of renormalization group equations for bimodal maps ⋮ Logistic-like and Gauss coupled maps: the born of period-adding cascades ⋮ Chua's oscillator: A compendium of chaotic phenomena ⋮ Some historical aspects of nonlinear dynamics -- possible trends for the future ⋮ A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos ⋮ A family of models with blue sky catastrophes of different classes ⋮ Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps ⋮ Hopping probabilities in a chaotic attractor ⋮ A superconvergent universality induced by non-associativity ⋮ Bifurcation rigidity ⋮ Some Historical Aspects of Nonlinear Dynamics: Possible Trends for the Future ⋮ Scenario of the Birth of Hidden Attractors in the Chua Circuit

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