PUBLICATIONS
2015
- L. Barreira, D. Dragicevic and C. Valls, Nonuniform stability of
arbitrary difference equations, Results in Mathematics, accepted for publication
- L. Barreira, D. Dragicevic and C. Valls, Characterization of nonuniform exponential trichotomies for flows, Journal of mathematical analysis and applications, in press.
- L. Barreira, D. Dragicevic and C. Valls, Tempered exponential
dichotomies and Lyapunov exponents for perturbations, Communications in contemporary mathematics, in press
- Siniša Slijepčević: Stability of synchronization in dissipatively driven Frenkel-Kontorova models, Chaos 25 (2015), 83-108.
- L. Barreira, D. Dragicevic and C. Valls, Admissibility and nonuniform exponential trichotomies, Regular and Chaotic Dynamics, 20 (2015), 49-62.
- L. Barreira, D. Dragicevic and C. Valls, From one-sided dichotomies to two-sided dichotomies, Discrete Contin. Dynamical Systems A, 35 (2015), 2817-2844.
- L. Barreira, D. Dragicevic and C. Valls, Positive top Lyapunov exponent via invariant cones: single trajectories, Journal of Mathematical Analysis and Applications, 423 (2015), 480-496.
- L. Barreira, D. Dragicevic and C. Valls, Characterization of strong exponential dichotomies, Bulletin of the Brazilian Mathematical Society, 46 (2015), 81-103.
- L. Barreira, D. Dragicevic and C. Valls, Admissibility on the half line for evolution families, Journal d'Analyse Mathematique, accepted for publication.
- L. Barreira, D. Dragicevic and C. Valls, Admissibility for exponential dichotomies in average, Stochastics and
dynamics, 15 (2015) , 3; 1550014-1-1550014-16
- H. Bruin and S. Stimac, Fibonacci-like unimodal inverse limit spaces and the core Ingram conjecture, Topological Methods in Nonlinear Analysis, accepted for publication.
- D. Dragicevic, Admissibility, a general type of Lipschitz shadowing and structural stability, Communications on Pure and Applied Analysis, 14 (2015), 861-880.
- Th. Gallay and S. Slijepcevic, Distribution of energy and convergence to equilibria in extended dissipative systems, Journal of Dynamics and Differential Equations, in press. arXiv:1212.1573.
- Th. Gallay and S. Slijepcevic, Uniform boundedness and long-time asymptotics for the two-dimensional Navier-Stokes equation in an infinite cylinder, Journal of Mathematical Fluid Mechanics 17 (2015), 23-46.
- A. Jungel and J. Pina Milisic, Entropy dissipative one-leg multiste time approximations of nonlinear diusive equations, Numerical Methods for Partial Differential Equations, in press.
- M. L. Lapidus, G. Radunovic and D. Zubrinic, Fractal zeta functions and complex dimensions: A general higher-dimensional theory, survey article, in: Geometry and Stochastics V (C. Bandt, K. Falconer and M. Zähle, eds.), Proc. Fifth Internat. Conf. (Tabarz, Germany, March 2014), Progress in Probability, Birkhäuser, Basel, Boston and Berlin, 2015, in press.
2014
- L. Barreira, D. Dragicevic and C. Valls, Exponential dichotomies with respect to a sequence of norms and admissibility, International Journal of Mathematics, 25 (2014), 1450024-1-1450024-20.
- L. Barreira, D. Dragicevic and C. Valls, Nonuniform hyperbolicity and admissibility, Advanced Nonlinear Studies, 14 (2014), 791-811.
- L. Barreira, D. Dragicevic and C. Valls, Strong and weak $(L_p;L_q)$-admissibility, Bulletin des Sciences Mathematiques, 138 (2014), 721-741.
- B. Blaskovic and S. Slijepcevic, Statistical detection of fraud in the reporting of Croatian public companies, Financial Theory and Practice 38 (2014), 81-96.
- L. Horvat Dmitrovic, Box dimension of Neimark-Sacker bifurcation, Journal of Difference Equations and Applications, 20 (2014), 1033-1054. arXiv:1210.8202.
- Th. Gallay and S. Slijepcevic, Energy bounds for the two-dimensional Navier-Stokes equations in an infinite cylinder, Comm. in Partial Differential Equations, 39 (2014), 1741-1769. arXiv:1308.1544.
- M. L. Lapidus, G. Radunovic and D. Zubrinic, Fractal zeta functions and complex dimensions of relative fractal drums, Journal of Fixed Point Theory and Applications, 15 (2014), 321-378. arxiv.org1407.8094.
- M. Nincevic and S. Slijepcevic, Positive exponential sums and odd polynomials, Rad. HAZU - Mat. Znan. 18 (2014), 35-53.
- M. Resman, Epsilon-neighborhoods of orbits of parabolic diffeomorphisms and cohomological equations, Nonlinearity, 27 (2014), 3005-3029. arXiv:1307.0780.
- S. Slijepcevic, The Aubry-Mather theorem for driven generalized elastic chains, Discrete Contin. Dynamical Systems A, 34 (2014), 2983-3011. arXiv:1305.1109.
- S. Slijepcevic, Entropy of scalar reaction-diusion equations, Math. Bohemica 139 (2014), 597-605.
2013
- M. Barge, S. Štimac and R. F. Williams, Pure discrete spectrum in substitution tiling spaces, Discrete and Continuous Dynamical Systems -- Series A 33 (2013), 579--597.
- H. Bruin, S. Štimac, Entropy of homeomorphisms on inverse limits of tent maps, Nonlinearity 26 (2013), 991-1000.
- L. Barreira, D. Dragičević, C. Valls, Lyapunov functions for strong exponential dichotomies, Journal of mathematical analysis and applications 399 (2013), 116-132.
- L. Barreira, D. Dragičević, C. Valls, Lyapuonov functions for strong exponential contractions, Journal of differential equations 255 (2013), 449-468.
- M. Resman, Epsilon-neighborhoods of orbits and formal classification of parabolic diffeomorphisms, Discrete Contin. Dyn. Syst. 33, 8 (2013), 3767-3790.
- M. Resman, Invariance of the normalized Minkowski content with
respect to the ambient space, Chaos, Solitons and Fractals, 57 (2013),
123-128.
- M. Resman, D. Vlah and V. Zupanovic, Oscillatority of Fresnel
integrals and chirp-like functions, Differential Equations and Applications, 5 (2013), 527-547.
- S. Slijepčević, The energy flow of discrete entended gradient systems, Nonlinearity 26 (2013), 2051-2079.
- S. Slijepčević, On van der Corput property of shifted primes, Functiones et approx. com. math. 48 (2013), 37-50.
- S. Slijepčević, Positive exponential sums, difference sets and recurrence, El. Notes in Discrete Math. 43 (2013), 187-193.
Preprints
- L. Horvat Dmitrović, V. Županović, Box dimension of unit-time map near nilpotent singularity of planar vector field, arXiv:1205.5478.
- L. Korkut, D. Vlah, V. Županović, Fractal properties of Bessel functions, arXiv:1304.1762.
- L. Korkut, D. Vlah, D. Žubrinić, V. Županović, Wavy spirals and their fractal connection with chirps, arXiv:1210.6611.
- L. Korkut, D. Vlah, V. Županović, Geometrical and fractal properties of a class of systems with spiral trajectories in $\mathbb{R}^3$, arXiv:1211.0918.