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Pregled bibliografske jedinice broj: 793628

Stability of synchronization in dissipatively driven Frenkel-Kontorova models


Slijepčević, Siniša
Stability of synchronization in dissipatively driven Frenkel-Kontorova models // Chaos, 25 (2015), 8; 083108, 9 doi:10.1063/1.4928213 (međunarodna recenzija, članak, znanstveni)


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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:

Avatar Url Siniša Slijepčević (autor)

Poveznice na cjeloviti tekst rada:

doi dx.doi.org scitation.aip.org

Citiraj ovu publikaciju:

Slijepčević, Siniša
Stability of synchronization in dissipatively driven Frenkel-Kontorova models // Chaos, 25 (2015), 8; 083108, 9 doi:10.1063/1.4928213 (međunarodna recenzija, članak, znanstveni)
Slijepčević, S. (2015) Stability of synchronization in dissipatively driven Frenkel-Kontorova models. Chaos, 25 (8), 083108, 9 doi:10.1063/1.4928213.
@article{article, author = {Slijep\v{c}evi\'{c}, Sini\v{s}a}, year = {2015}, pages = {9}, DOI = {10.1063/1.4928213}, chapter = {083108}, keywords = {Attractors, Phase transitions, Spatial analysis, Ground states, Partial differential equations}, journal = {Chaos}, doi = {10.1063/1.4928213}, volume = {25}, number = {8}, issn = {1054-1500}, title = {Stability of synchronization in dissipatively driven Frenkel-Kontorova models}, keyword = {Attractors, Phase transitions, Spatial analysis, Ground states, Partial differential equations}, chapternumber = {083108} }
@article{article, author = {Slijep\v{c}evi\'{c}, Sini\v{s}a}, year = {2015}, pages = {9}, DOI = {10.1063/1.4928213}, chapter = {083108}, keywords = {Attractors, Phase transitions, Spatial analysis, Ground states, Partial differential equations}, journal = {Chaos}, doi = {10.1063/1.4928213}, volume = {25}, number = {8}, issn = {1054-1500}, title = {Stability of synchronization in dissipatively driven Frenkel-Kontorova models}, keyword = {Attractors, Phase transitions, Spatial analysis, Ground states, Partial differential equations}, chapternumber = {083108} }

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


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