zbMath0598.58040MaRDI QIDQ1079858
Peter Wittwer, Jean-Pierre Eckmann
Publication date: 1985
Published in: Lecture Notes in Physics (Search for Journal in Brave)
Existence of the FS-type renormalisation fixed point for unidirectionally-coupled pairs of maps,
New proofs of the existence of the Feigenbaum functions,
Thickness of Julia sets of Feigenbaum polynomials with high order critical points,
Perturbative computation of analytic invariants of resonant diffeomorphisms of \((C,0)\),
The distributional Borel summability and the large coupling \(\Phi ^ 4\) lattice fields,
A non-Gaussian renormalization group fixed point for hierarchical scalar lattice field theories,
Construction of analytic KAM-surfaces and effective stability bounds,
On constructing complete solution classes of the Cvitanović-Feigenbaum equation,
Period doubling in maps with a maximum of order,
Feigenbaum Numbers for Certain Flat-Top Families,
New universal bifurcation scenario in one-dimensional trimodal maps,
Common limits of Fibonacci circle maps,
Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance,
Bounds on the unstable eigenvalue for period doubling,
Asymptotic and essentially singular solutions of the Feigenbaum equation.,
Corrections to universal scaling in real maps,
Scaling of potential function derived from parameter renormalization of maps,
Construction of invariant tori for the spin-orbit problem in the Mercury-Sun system,
Self-validating methods,
Physical meaning for Mandelbrot and Julia sets,
Quadratic convergence in period doubling to chaos for trapezoid maps,
Asymptotics of the cut discontinuity and large order behaviour from the instanton singularity: The case of lattice Schrödinger operators with exponential disorder,
Invariant curves for area-preserving twist maps far from integrable,
Scaling factors associated with M-furcations of the \(1-\mu | x| ^ z\) map,
A complete proof of the Feigenbaum conjectures,
Limit drift for complex Feigenbaum mappings,
Hausdorff dimension of Julia sets of Feigenbaum polynomials with high criticality,
Dynamics and universality of unimodal mappings with infinite criticality,
Rigorous computer-assisted bounds on the period doubling renormalization fixed point and eigenfunctions in maps with critical point of degree 4,
Construction of librational invariant tori in the spin-orbit problem