Period doubling system under fractal signal: Bifurcation in the renormalization group equation

DOI10.1016/0960-0779(91)90026-6zbMath0755.58041OpenAlexW1988642356MaRDI QIDQ1185432

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

Publication date: 28 June 1992

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(91)90026-6

zbMATH Keywords

fractalsperiod doublingrenormalization group equation

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics (82C28) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Birth of a new class of period-doubling scaling behavior as a result of bifurcation in the renormalization equation ⋮ Critical Dynamics of Pitch-Fork Bifurcation in a System Driven by a Fractal Sequence

Cites Work

• The universal metric properties of nonlinear transformations
• On the metric properties of the Feigenbaum attractor
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