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Pregled bibliografske jedinice broj: 508451

Fractal properties of solutions of differential equations

Pašić, Mervan; Žubrinić, Darko; Županović, Vesna
Fractal properties of solutions of differential equations // Classification and Application of Fractals / Hagen, William L. (ur.)., 2011. str. 1-62

CROSBI ID: 508451 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Fractal properties of solutions of differential equations

Autori
Pašić, Mervan ; Žubrinić, Darko ; Županović, Vesna

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, ostalo

Knjiga
Classification and Application of Fractals

Urednik/ci
Hagen, William L.

Izdavač
Nova Science Publishers

Godina
2011

Raspon stranica
1-62

ISBN
978-1-61209-967-5

Ključne riječi
box dimension, Minkowski content, spiral, chirp, spiral chirp, multiple spiral, bifurcation, Schr¨odinger equation, Euler equation, Riemann–Weber equation, Hartman– Wintner equation, Bessel equation, half lienar equation, Li´enard equation, Poincar´e map, Hopf bifurcation, weak focus, logistic map, oscillation, fractal oscillatority, clothoid, Fresnel integral, elliptic BVPs, weak solution, nonregularity, singular dimension, Besov space, Sobolev space.

Sažetak
We give a survey of recent results by the authors and their collaborators concerning fractal analysis of trajectories of dynamical systems, oscillatory solutions of ODE’s and singular sets of weak solutions of elliptic PDE’s. Contents: 1. Introduction, 2. Fractal Properties of Trajectories of Dynamical Systems, 3. Fractal Analysis of Trajectories of Some Schredinger Cauchy Problems, 4. Fractal Oscillations of Second-Order Differential Equations, 5. Nonregularity of Weak Solutions of Elliptic Equations, 6. Fractal Properties of Generalized Fresnel Integrals. Bibliography: 85 references.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Temeljne tehničke znanosti



POVEZANOST RADA

Projekti:
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)
036-0361621-1291 - Nelinearna analiza diferencijalnih jednadžbi i dinamičkih sustava (Pašić, Mervan, MZO ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Darko Žubrinić (autor)

Avatar Url Vesna Županović (autor)

Avatar Url Mervan Pašić (autor)

Citiraj ovu publikaciju:

Pašić, Mervan; Žubrinić, Darko; Županović, Vesna
Fractal properties of solutions of differential equations // Classification and Application of Fractals / Hagen, William L. (ur.)., 2011. str. 1-62
Pašić, M., Žubrinić, D. & Županović, V. (2011) Fractal properties of solutions of differential equations. U: Hagen, W. (ur.) Classification and Application of Fractals., Nova Science Publishers, str. 1-62.
@inbook{inbook, author = {Pa\v{s}i\'{c}, Mervan and \v{Z}ubrini\'{c}, Darko and \v{Z}upanovi\'{c}, Vesna}, editor = {Hagen, W.}, year = {2011}, pages = {1-62}, keywords = {box dimension, Minkowski content, spiral, chirp, spiral chirp, multiple spiral, bifurcation, Schr¨odinger equation, Euler equation, Riemann–Weber equation, Hartman– Wintner equation, Bessel equation, half lienar equation, Li´enard equation, Poincar´e map, Hopf bifurcation, weak focus, logistic map, oscillation, fractal oscillatority, clothoid, Fresnel integral, elliptic BVPs, weak solution, nonregularity, singular dimension, Besov space, Sobolev space.}, isbn = {978-1-61209-967-5}, title = {Fractal properties of solutions of differential equations}, keyword = {box dimension, Minkowski content, spiral, chirp, spiral chirp, multiple spiral, bifurcation, Schr¨odinger equation, Euler equation, Riemann–Weber equation, Hartman– Wintner equation, Bessel equation, half lienar equation, Li´enard equation, Poincar´e map, Hopf bifurcation, weak focus, logistic map, oscillation, fractal oscillatority, clothoid, Fresnel integral, elliptic BVPs, weak solution, nonregularity, singular dimension, Besov space, Sobolev space.}, publisher = {Nova Science Publishers} }
@inbook{inbook, author = {Pa\v{s}i\'{c}, Mervan and \v{Z}ubrini\'{c}, Darko and \v{Z}upanovi\'{c}, Vesna}, editor = {Hagen, W.}, year = {2011}, pages = {1-62}, keywords = {box dimension, Minkowski content, spiral, chirp, spiral chirp, multiple spiral, bifurcation, Schr¨odinger equation, Euler equation, Riemann–Weber equation, Hartman– Wintner equation, Bessel equation, half lienar equation, Li´enard equation, Poincar´e map, Hopf bifurcation, weak focus, logistic map, oscillation, fractal oscillatority, clothoid, Fresnel integral, elliptic BVPs, weak solution, nonregularity, singular dimension, Besov space, Sobolev space.}, isbn = {978-1-61209-967-5}, title = {Fractal properties of solutions of differential equations}, keyword = {box dimension, Minkowski content, spiral, chirp, spiral chirp, multiple spiral, bifurcation, Schr¨odinger equation, Euler equation, Riemann–Weber equation, Hartman– Wintner equation, Bessel equation, half lienar equation, Li´enard equation, Poincar´e map, Hopf bifurcation, weak focus, logistic map, oscillation, fractal oscillatority, clothoid, Fresnel integral, elliptic BVPs, weak solution, nonregularity, singular dimension, Besov space, Sobolev space.}, publisher = {Nova Science Publishers} }

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