Abstract
| Original language | English |
|---|---|
| Article number | 012303 |
| Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |
| Volume | 99 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2 Jan 2019 |
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Keywords
- chaos
- complex systems
- fluctuations and noise
- nonequilibrium statistical mechanics
- stochastic processes
- synchronization
- CHRONOTOPIC LYAPUNOV ANALYSIS
- STABILITY
- DYNAMICS
ASJC Scopus subject areas
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability
Cite this
Desynchronization and pattern formation in a noisy feed-forward oscillator network. / Zankoc, Clement (Corresponding Author); Fanelli, Duccio; Ginelli, Francesco; Livi, Roberto.
In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 99, No. 1, 012303, 02.01.2019.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Desynchronization and pattern formation in a noisy feed-forward oscillator network
AU - Zankoc, Clement
AU - Fanelli, Duccio
AU - Ginelli, Francesco
AU - Livi, Roberto
N1 - The authors acknowledge financial support from H2020-MSCA-ITN-2015 project COSMOS 642563. We thank Arkady Pikovsky for useful comments.
PY - 2019/1/2
Y1 - 2019/1/2
N2 - We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturbed by the injection of small additive noise, typically orders of magnitude smaller than the oscillation amplitude, and the system is studied in a region of the parameters that would yield deterministic synchronization. Non-normal directed couplings seed a coherent amplification of the perturbation: this latter manifests as a modulation, transversal to the limit cycle, which gains in potency node after node. If the lattice extends long enough, the initial synchrony gets eventually lost, and the system moves toward a non-trivial attractor, which can be analytically characterized as an asymptotic splay state. The noise assisted instability, ultimately vehiculated and amplified by the non-normal nature of the imposed couplings, eventually destabilizes also this second attractor. This phenomenon yields spatiotemporal patterns, which cannot be anticipated by a conventional linear stability analysis.
AB - We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturbed by the injection of small additive noise, typically orders of magnitude smaller than the oscillation amplitude, and the system is studied in a region of the parameters that would yield deterministic synchronization. Non-normal directed couplings seed a coherent amplification of the perturbation: this latter manifests as a modulation, transversal to the limit cycle, which gains in potency node after node. If the lattice extends long enough, the initial synchrony gets eventually lost, and the system moves toward a non-trivial attractor, which can be analytically characterized as an asymptotic splay state. The noise assisted instability, ultimately vehiculated and amplified by the non-normal nature of the imposed couplings, eventually destabilizes also this second attractor. This phenomenon yields spatiotemporal patterns, which cannot be anticipated by a conventional linear stability analysis.
KW - chaos
KW - complex systems
KW - fluctuations and noise
KW - nonequilibrium statistical mechanics
KW - stochastic processes
KW - synchronization
KW - CHRONOTOPIC LYAPUNOV ANALYSIS
KW - STABILITY
KW - DYNAMICS
UR - http://www.scopus.com/inward/record.url?scp=85059804042&partnerID=8YFLogxK
UR - http://www.mendeley.com/research/desynchronization-pattern-formation-noisy-feedforward-oscillator-network
U2 - 10.1103/PhysRevE.99.012303
DO - 10.1103/PhysRevE.99.012303
M3 - Article
VL - 99
JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics
JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics
SN - 1539-3755
IS - 1
M1 - 012303
ER -