| Issue |
Math. Model. Nat. Phenom.
Volume 16, 2021
Control of instabilities and patterns in extended systems
|
|
|---|---|---|
| Article Number | 6 | |
| Number of page(s) | 13 | |
| DOI | https://doi.org/10.1051/mmnp/2020049 | |
| Published online | 08 February 2021 | |
Controlling oscillator coherence by multiple delay feedback
1
Institute of Continuous Media Mechanics, Ural Branch of RAS,
Perm
614013, Russia.
2
Theoretical Physics Department, Perm State University,
Perm
614990, Russia.
* Corresponding author: denis.goldobin@gmail.com
Received:
25
September
2020
Accepted:
11
November
2020
We consider the implementation of a weak feedback with two delay times for controlling the coherence of both deterministic chaotic and stochastic oscillators. This control strategy is revealed to allow one to decrease or enhance the coherence, which is quantified by the phase diffusion constant, by 2–3 orders of magnitude without destruction of the chaotic regime, which is by an order of magnitude more than one can achieve with a single delay time. Within the framework of the phase reduction, which is a rough approximation for the chaotic oscillators and rigorous for the stochastic ones, an analytical theory of the effect is constructed.
Mathematics Subject Classification: 34H10 / 93B52 / 60G20
Key words: Oscillation coherence / phase diffusion / multiple delay feedback
© The authors. Published by EDP Sciences, 2021
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