The complete set of Hamiltonian intermittency scaling behaviors

DOI10.1007/BF01214581zbMath0586.70008MaRDI QIDQ1071529

Albert B. Zisook

Publication date: 1984

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

critical points of real valued functionsonset of intermittencyrenormalization group techniquesscaling behavioursimple normal forms

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Hamilton's equations (70H05) Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Dynamics of a system of particles, including celestial mechanics (70Fxx)

Related Items (3)

Critical behaviour and intermittency in Sinai's billiard ⋮ 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

Cites Work

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• On universality for area-preserving maps of the plane
• Universal behaviour in families of area-preserving maps
• Renormalization group analysis of bifurcations in area-preserving maps
• A renormalization approach to invariant circles in area-preserving maps
• The universal metric properties of nonlinear transformations
• Quantitative universality for a class of nonlinear transformations
• Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities
• Universal power-law tails for singularity-dominated strong fluctuations

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