Basin stability for chimera states
Povzetek
Chimera states, namely complex spatiotemporal patterns that consist of coexisting domains of spatially coherent and incoherent dynamics, are investigated in a network of coupled identical oscillators. These intriguing spatiotemporal patterns were first reported in nonlocally coupled phase oscillators, and it was shown that such mixed type behavior occurs only for specific initial conditions in nonlocally and globally coupled networks. The influence of initial conditions on chimera states has remained a fundamental problem since their discovery. In this report, we investigate the robustness of chimera states together with incoherent and coherent states in dependence on the initial conditions. For this, we use the basin stability method which is related to the volume of the basin of attraction, and we consider nonlocally and globally coupled time-delayed Mackey-Glass oscillators as example. Previously, it was shown that the existence of chimera states can be characterized by mean phase velocity and a statistical measure, such as the strength of incoherence, by using well prepared initial conditions. Here we show further how the coexistence of different dynamical states can be identified and quantified by means of the basin stability measure over a wide range of the parameter space.
Ključne besede
sinhronizacija;oscilacije;zlom simetrije;omrežje;synchronization;oscillations;symmetry breaking;network;
Podatki
| Jezik: | Angleški jezik |
|---|---|
| Leto izida: | 2017 |
| Tipologija: | 1.01 - Izvirni znanstveni članek |
| Organizacija: | UM FNM - Fakulteta za naravoslovje in matematiko |
| UDK: | 53 |
| COBISS: |
23136264
|
| ISSN: | 2045-2322 |
| Št. ogledov: | 733 |
| Št. prenosov: | 311 |
| Ocena: | 0 (0 glasov) |
| Metapodatki: |
|
Ostali podatki
| Sekundarni jezik: | Slovenski jezik |
|---|---|
| Sekundarne ključne besede: | sinhronizacija;oscilacije;zlom simetrije;omrežje; |
| URN: | URN:SI:UM: |
| Vrsta dela (COBISS): | Znanstveno delo |
| Strani: | str. 1-12 |
| Letnik: | ǂVol. ǂ7 |
| Zvezek: | ǂart. no. ǂ2412 |
| Čas izdaje: | 2017 |
| DOI: | 10.1038/s41598-017-02409-5 |
| ID: | 10844187 |
Priporočena dela:
Basin stability for chimera states
2017,
ni podatka o podnaslovu
E [sub] 6 grand unified theories
2014,
doctoral thesis
Zlom simetrije
2019,
aplikacija v optimizaciji energijskih procesov in detekciji nanodelcev
Rigorous bounds on dynamical response functions and time-translation symmetry breaking
2020,
ni podatka o podnaslovu
Fluctuating excitability
2007,
ǂa ǂmechanism for self-sustained information flow in excitable arrays