Chemnitz, Dennis and Engel, Maximilian (2023) Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise. Communications in Mathematical Physics, 402 . pp. 1807-1843.
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Official URL: https://doi.org/10.48550/arXiv.2212.06547
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.
| Item Type: | Article |
|---|---|
| Subjects: | Mathematical and Computer Sciences Mathematical and Computer Sciences > Mathematics Mathematical and Computer Sciences > Mathematics > Applied Mathematics |
| Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |
| ID Code: | 2937 |
| Deposited By: | Monika Drueck |
| Deposited On: | 17 Apr 2023 09:44 |
| Last Modified: | 05 Feb 2024 11:04 |
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