Regularized Renormalization Group Reduction of Symplectic Map
Shin-itiro Goto, Kazuhiro Nozaki
Abstract
By means of the perturbative renormalization group method, we study a long-time behaviour of some symplectic discrete maps near elliptic and hyperbolic fixed points. It is shown that a naive renormalization group (RG) map breaks the symplectic symmetry and fails to describe a long-time behaviour. In order to preserve the symplectic symmetry, we present a regularization procedure, which gives a regularized symplectic RG map describing an approximate long-time behaviour succesfully.
Create a lesson
Related papers
Modal interactions in strongly nonlinear coupled oscillators with closely spaced modes and nonclassical damping distribution
C. A. Hubay, T. Kalmar-Nagy, L. Bergman et al.
Nonintegrability theorem on perturbed integrable Hamiltonian dynamical systems with two independent resonances
Nikos Zafeiriadis, Efthymia Meletlidou, Christos Efthymiopoulos et al.
PRISM: Unifying multiphysics optothermal transport and identifiability-guided inference for nanoscale thermal metrology
Yicong Qiu, Ziyang Zhong, Ziyan Qian et al.
Ultraslow diffusion emerging from local symmetry breaking in quenched disorder
Jin Liu, Rainer Klages, Huihai Wang et al.
A model for the dimension of the inertial manifold of the Kuramoto-Sivashinsky equation
Melisa Y. Vinograd, Patricio Clark di Leoni
When chaos meets thermodynamics: from Fermi acceleration to thermalisation
Edson Denis Leonel