Slow sweep through a period-doubling cascade: Delayed bifurcations and renormalisation

DOI10.1016/0167-2789(91)90068-KzbMath0744.35005MaRDI QIDQ1181378

Claude Baesens

Publication date: 27 June 1992

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

scaling lawdynamic bifurcationone-dimensional mapsunstable eigenvalueasymptotic calculationspresence of noiseasymptotic scaling lawdelays of successive period-doubling bifurcationsnon-autonomous mapsrenormalisation theorysweep rate

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Partial functional-differential equations (35R10) PDEs with randomness, stochastic partial differential equations (35R60) Bifurcations in context of PDEs (35B32) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

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Cites Work

• Renormalization group analysis of some dynamical systems with noise
• Universal behaviour in families of area-preserving maps
• On the weak-noise limit of Fokker-Planck models
• Entrée-sortie dans un tourbillon
• On the abundance of aperiodic behaviour for maps on the interval
• A complete proof of the Feigenbaum conjectures
• Quantitative universality for a class of nonlinear transformations
• Slowly Varying Jump and Transition Phenomena Associated with Algebraic Bifurcation Problems
• Forcing of convection due to time-dependent heating near threshold
• Imperfect Bifurcation with a Slowly-Varying Control Parameter
• The amplitude equation near the convective threshold: application to time-dependent heating experiments
• A computer-assisted proof of the Feigenbaum conjectures
• Feigenbaum universality and the thermodynamic formalism
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