Inferring the dynamics of oscillatory systems using recurrent neural networks
- We investigate the predictive power of recurrent neural networks for oscillatory systems not only on the attractor but in its vicinity as well. For this, we consider systems perturbed by an external force. This allows us to not merely predict the time evolution of the system but also study its dynamical properties, such as bifurcations, dynamical response curves, characteristic exponents, etc. It is shown that they can be effectively estimated even in some regions of the state space where no input data were given. We consider several different oscillatory examples, including self-sustained, excitatory, time-delay, and chaotic systems. Furthermore, with a statistical analysis, we assess the amount of training data required for effective inference for two common recurrent neural network cells, the long short-term memory and the gated recurrent unit. Published under license by AIP Publishing.
Verfasserangaben: | Rok CestnikORCiDGND, Markus AbelORCiDGND |
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DOI: | https://doi.org/10.1063/1.5096918 |
ISSN: | 1054-1500 |
ISSN: | 1089-7682 |
Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/31266337 |
Titel des übergeordneten Werks (Englisch): | Chaos : an interdisciplinary journal of nonlinear science |
Verlag: | American Institute of Physics |
Verlagsort: | Melville |
Publikationstyp: | Wissenschaftlicher Artikel |
Sprache: | Englisch |
Datum der Erstveröffentlichung: | 26.06.2019 |
Erscheinungsjahr: | 2019 |
Datum der Freischaltung: | 27.01.2021 |
Band: | 29 |
Ausgabe: | 6 |
Seitenanzahl: | 9 |
Fördernde Institution: | Marie Sklodowska-Curie GrantEuropean Union (EU) [642563] |
Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC-Klassifikation: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Peer Review: | Referiert |
Publikationsweg: | Open Access / Green Open-Access |