Title:
Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise
Author(s):
Chemnitz, Dennis; Engel, Maximilian
Year of publication:
2023
Available Date:
2023-08-28T07:42:15Z
Abstract:
We prove the positivity of Lyapunov exponents for the normal form of a Hopf bifurcation, perturbed by additive white noise, under sufficiently strong shear strength. This completes a series of related results for simplified situations which we can exploit by studying suitable limits of the shear and noise parameters. The crucial technical ingredient for making this approach rigorous is a result on the continuity of Lyapunov exponents via Furstenberg–Khasminskii formulas.
Part of Identifier:
e-ISSN (online): 1432-0916
Keywords:
Positive Lyapunov Exponent
Hopf Normal Form
Additive Noise
DDC-Classification:
510 Mathematik
Publication Type:
Wissenschaftlicher Artikel
URL of the Original Publication:
DOI of the Original Publication:
Journaltitle:
Communications in Mathematical Physics
Department/institution:
Mathematik und Informatik
Institut für Mathematik
Comments:
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.