93 citations · 1.1k across the 48 of their papers we have counts for
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KAM--renormalization-group for Hamiltonian systems with two degrees of freedom
C. Chandre, H. R. Jauslin
We review a formulation of a renormalization-group scheme for Hamiltonian systems with two degrees of freedom. We discuss the renormalization flow on the basis of the continued fra…
Critical Attractor and Universality in a Renormalization Scheme for Three Frequency Hamiltonian Systems
C. Chandre, H. R. Jauslin
We study an approximate renormalization-group transformation to analyze the breakup of invariant tori for three degrees of freedom Hamiltonian systems. The scheme is implemented fo…
An Approximate KAM-Renormalization-Group Scheme for Hamiltonian Systems
C. Chandre, H. R. Jauslin, G. Benfatto
We construct an approximate renormalization scheme for Hamiltonian systems with two degrees of freedom. This scheme is a combination of Kolmogorov-Arnold-Moser (KAM) theory and ren…
A Version of Thirring's Approach to the KAM Theorem for Quadratic Hamiltonians with Degenerate Twist
C. Chandre, H. R. Jauslin
We give a proof of the KAM theorem on the existence of invariant tori for weakly perturbed Hamiltonian systems, based on Thirring's approach for Hamiltonians that are quadratic in…
Universality for the breakup of invariant tori in Hamiltonian flows
C. Chandre, M. Govin, H. R. Jauslin +1
In this article, we describe a new renormalization-group scheme for analyzing the breakup of invariant tori for Hamiltonian systems with two degrees of freedom. The transformation,…
Kolmogorov-Arnold-Moser Renormalization-Group Approach to the Breakup of Invariant Tori in Hamiltonian Systems
C. Chandre, M. Govin, H. R. Jauslin
We analyze the breakup of invariant tori in Hamiltonian systems with two degrees of freedom using a combination of KAM theory and renormalization-group techniques. We consider a cl…