Pregled bibliografske jedinice broj: 793628
Stability of synchronization in dissipatively driven Frenkel-Kontorova models
Stability of synchronization in dissipatively driven Frenkel-Kontorova models // Chaos, 25 (2015), 8; 083108, 9 doi:10.1063/1.4928213 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 793628 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Stability of synchronization in dissipatively driven Frenkel-Kontorova models
Autori
Slijepčević, Siniša
Izvornik
Chaos (1054-1500) 25
(2015), 8;
083108, 9
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Attractors ; Phase transitions ; Spatial analysis ; Ground states ; Partial differential equations
Sažetak
We rigorously show that dissipatively driven Frenkel-Kontorova models with either uniform or time-periodic driving asymptotically synchronize for a wide range of initial conditions. The main tool is a new Lyapunov function, as well as a 2D representation of the attractor. We then characterize dynamical phase transitions and outline new algorithms for determining them.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Siniša Slijepčević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
- MEDLINE