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Pregled bibliografske jedinice broj: 235221

Box dimension of trajectories of some discrete dynamical systems

Elezović, Neven; Županović, Vesna; Žubrinić, Darko
Box dimension of trajectories of some discrete dynamical systems // Chaos, Solitons & Fractals, 34 (2007), 2; 244-252 doi:10.1016/j.chaos.2006.03.060 (međunarodna recenzija, članak, znanstveni)

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Naslov
Box dimension of trajectories of some discrete dynamical systems

Autori
Elezović, Neven ; Županović, Vesna ; Žubrinić, Darko

Izvornik
Chaos, Solitons & Fractals (0960-0779) 34 (2007), 2; 244-252

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
logistic map; discrete dynamical system; box dimension; Minkowski content; bifurcation

Sažetak
We study the asymptotics, box dimension, and Minkowski content of trajectories of some discrete dynamical systems. We show that under very general conditions, trajectories corresponding to parameters where saddle-node bifurcation appears have box dimension equal to~$1/2$, while those corresponding to period-doubling bifurcation parameter have box dimension equal to~$2/3$. Furthermore, all these trajectories are Minkowski nondegenerate. The results are illustrated in the case of logistic map.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
036-0361621-1291 - Nelinearna analiza diferencijalnih jednadžbi i dinamičkih sustava (Pašić, Mervan, MZO ) ( CroRIS)
036-0361621-3012 - Napredne strategije upravljanja i estimacije u složenim sustavima (Perić, Nedjeljko, MZO ) ( CroRIS)
036-0363078-3018 - Upravljanje mobilnim robotima i vozilima u nepoznatim i dinamičkim okruženjima (Petrović, Ivan, MZO ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Vesna Županović (autor)

Avatar Url Darko Žubrinić (autor)

Avatar Url Neven Elezović (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Elezović, Neven; Županović, Vesna; Žubrinić, Darko
Box dimension of trajectories of some discrete dynamical systems // Chaos, Solitons & Fractals, 34 (2007), 2; 244-252 doi:10.1016/j.chaos.2006.03.060 (međunarodna recenzija, članak, znanstveni)
Elezović, N., Županović, V. & Žubrinić, D. (2007) Box dimension of trajectories of some discrete dynamical systems. Chaos, Solitons & Fractals, 34 (2), 244-252 doi:10.1016/j.chaos.2006.03.060.
@article{article, author = {Elezovi\'{c}, Neven and \v{Z}upanovi\'{c}, Vesna and \v{Z}ubrini\'{c}, Darko}, year = {2007}, pages = {244-252}, DOI = {10.1016/j.chaos.2006.03.060}, keywords = {logistic map, discrete dynamical system, box dimension, Minkowski content, bifurcation}, journal = {Chaos, Solitons and Fractals}, doi = {10.1016/j.chaos.2006.03.060}, volume = {34}, number = {2}, issn = {0960-0779}, title = {Box dimension of trajectories of some discrete dynamical systems}, keyword = {logistic map, discrete dynamical system, box dimension, Minkowski content, bifurcation} }
@article{article, author = {Elezovi\'{c}, Neven and \v{Z}upanovi\'{c}, Vesna and \v{Z}ubrini\'{c}, Darko}, year = {2007}, pages = {244-252}, DOI = {10.1016/j.chaos.2006.03.060}, keywords = {logistic map, discrete dynamical system, box dimension, Minkowski content, bifurcation}, journal = {Chaos, Solitons and Fractals}, doi = {10.1016/j.chaos.2006.03.060}, volume = {34}, number = {2}, issn = {0960-0779}, title = {Box dimension of trajectories of some discrete dynamical systems}, keyword = {logistic map, discrete dynamical system, box dimension, Minkowski content, bifurcation} }

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

Uključenost u ostale bibliografske baze podataka::


  • Mathematical Reviews
  • Research Alert
  • SCISEARCH
  • Scopus
  • Zentralblatt MATH

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