Summary
International Symposium on Nonlinear Theory and Its Applications
2022
Session Number:C3L-B
Session:
Number:C3L-B-04
Perturbations in Cycle Expansions
Yueheng Lan , Huanyu Cao,
pp.469-469
Publication Date:12/12/2022
Online ISSN:2188-5079
Summary:
To compute averages of observables in a nonlinear system, a perturbation technique is developed to cope with possibly existing non-hyperbolicity, in which cycle expansions are used to treat the hyperbolic part while an analytic approximation is made to take care of the regular dynamics. In addition, based on the framework provided by periodic orbits, we are able to design a perturbation scheme in the presence of chaos, which could be used to compute averages over a continuous family of dynamical systems based on the periodic orbit theory.