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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.).
USA: Nova Science Publishers, Inc., 2011. str. 1-62


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, Inc.

Grad
USA

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


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

Ustanove
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Mervan Pašić (autor)

Avatar Url Darko Žubrinić (autor)

Avatar Url Vesna Županović (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.).
USA: Nova Science Publishers, Inc., 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. USA, Nova Science Publishers, Inc., str. 1-62.
@inbook{inbook, 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, Inc.}, publisherplace = {USA} }