Научни радови

M. Radnovic, V. Rom-Kedar, Foliations of isonergy surfaces and singularities of curves, Regular and Chaotic Dynamics 13 (2008), no. 6, 645-688.
V. Dragovic, M. Radnovic, Hyperelliptic Jacobians as billiard algebra of pencils of quadrics: Beyond Poncelet porisms, Advances in Mathematics 219 (2008), Issue 5, 1577-1607.
V. Dragovic, B. Gajic, Hirota-Kimura Type Discretization of the Classical Nonholonomic Suslov Problem, Regul. Chaotic Dyn. 13 (2008), no. 4, 250-256.
R. Zivaljevic, Equipartitions of measures in R4, Trans. Amer. Math. Soc. 360 (2008), no. 1, 153-169.
N. Buric, Hamiltonian quantum dynamics with separability constraints, Ann. Physics 323 (2008), no. 1, 17-33.
N. Buric, K. Todorovic, N. Vasovic, Synchronization of noisy delayed feedback systems with delayed coupling, Phys. Rev. E (3) 75 (2007), no. 2, 026209, 10 pp.
N. Buric, Geometry and dynamics of quantum state diffusion, J. Phys. A 40 (2007), no. 22, 5937-5948.
N. Buric, N. Vasovic, Global stability of synchronization between delay-differential systems with generalized diffusive coupling, Chaos Solitons Fractals 31 (2007), no. 2, 336-342.
B. Jovanovic, Partial Lagrange-Routh Reductions, Proceedings of the First International Congress of  Serbian Society of Mechanics (Eds. D. Sumarac, D. Kuzmanovic), Kopaonik 2007, pages: 969-974.
B. Jovanovic, On the Cartan Model of the Canonical Vector Bundles over Grassmannians, Sib. Mat. Zh.  48 (2007), No. 4, 772–777 (Russian); English translation. Sib. Math. J. 48 (2007), No. 4., 606-615; arXiv:math/0602132.
B. JovanovicPartial Reduction of Hamiltonian Flows and Hess-Appelrot Systems on SO(n), Nonlinearity 20 (2007), 221-240; arXiv:math-ph/0611062.
D. Savic, S. Jelic, N. Buric, Stability of a general delay differential model of the hypothalamo-pituitary-adrenocortical system, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 16 (2006), no. 10, 3079-3085.
N. Buric, K. Todorovic, N. Vasovic, Patterns of exact synchronization in chains of feedback loops with two characteristic time-lags, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 16 (2006), no. 5, 1569-1584.
R. Zivaljevic, Groupoids in combinatorics — applications of a theory of local symmetries, Algebraic and geometric combinatorics, 305-324, Contemp. Math. 423, Amer. Math. Soc., Providence, RI, 2006.
P. Mani-Levitska, S. Vrecica, R. Zivaljevic, Topology and combinatorics of partitions of masses by hyperplanes, Adv. Math. 207 (2006), no. 1, 266-296.
M. de Longueville, R. Zivaljevic, The Borsuk-Ulam-property, Tucker-property and constructive proofs in combinatorics, J. Combin. Theory Ser. A 113 (2006), no. 5, 839-850.
V. Dragovic, Algebro-geometric integration in classical and statistical mechanics, Zbornik Radova (Beograd) 11(19) (2006), 121-154.
V. Dragovic, B. Gajic, Systems of Hess-Appel'rot type, Comm. Math. Phys. 265 (2006), no. 2, 397-435.
V. Dragovic, M. Radnovic, Geometry of integrable billiards and pencils of quadrics, J. Math. Pures Appl. (9) 85 (2006), no. 6, 758-790.
V. Dragovic, B. Gajic, Matrix Lax polynomials, geometry of Prym varieties and systems of Hess-Appel'rot type, Lett. Math. Phys. 76 (2006), no. 2-3, 163-186.
A. V. Bolsinov, B. Jovanovic, Magnetic Geodesic Flows on Coadjoint Orbits, J. Phys. A: Math. Gen. 39 (2006), L247-L252,  arXiv: math-ph/0602012
Y. N. Fedorov, B. Jovanovic, Quasi-Chaplygin Systems and Nonholonimic Rigid Body Dynamics, Letters in Mathematical Physics 76 (2006), 215-230, arXiv: math-ph/0510088
Yu. N. Fedorov, B. Jovanovic, Integrable nonholonomic geodesic flows on compact Lie groups, In: Topological methods in the theory of integrable systems  (Bolsinov A.V., Fomenko A.T., Oshemkov A.A. eds) Cambrige Scientific Publ., 2006, pp. 115-152, arXiv: math-ph/0408037.
N. Buric, Phase-space dynamical model of an open system of interacting q-bits, J. Phys. A 38 (2005), no. 10, 2157-2172.
N. Buric, A. Rampioni, G. Turchetti, Statistics of Poincaré recurrences for a class of smooth circle maps, Chaos Solitons Fractals 23 (2005), no. 5, 1829-1840.
N. Buric, I. Grozdanovic, N. Vasovic, Type I vs. type II excitable systems with delayed coupling, Chaos Solitons Fractals 23 (2005), no. 4, 1221-1233.
N. Buric, Pure-state dynamics of a pair of charge qubits in a random environment, Phys. Rev. A (3) 72 (2005), no. 4, part A, 042322, 12 pp.
N. Buric, D. Todorovic, Bifurcations due to small time-lag in coupled excitable systems, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 15 (2005), no. 5, 1775-1785.
R. Zivaljevic, WI-posets, graph complexes and Z2-equivalences, J. Combin. Theory Ser. A 111 (2005), no. 2, 204-223.
P. Blagojevic, V. Grujic, R. Zivaljevic, Arrangements of symmetric products of spaces, Topology Appl. 148 (2005), no. 1-3, 213-232.
V. Dragovic, Separability in Hamilton-Jacobi sense in two degrees of freedom and the Appell hypergeometric functions, Journal of Nonlinear Mathematical Physics 12 (2005), no. 2 (број посвећен Јакобијевој двестагодишњици), 170-177.
V. Dragovic, B. Gajic, Skew-symmetric Lax polynomial matrices and integrable rigid body systems, In: Mathematical, Theoretical and Phenomenological Challenges Beyond the Standard Model (Eds. G. Djordjevic, Lj. Nesic, J. Wess), World Scientific, 2005, pp. 205-226.
V. Dragovic, M. Radnovic, A review of the analytic description of periodic billiard trajectories (Russian), Sovrem. Mat. Prilozh. 21, Geom. Zadachi Teor. Upr. (2004), 154-165; translation in J. Math. Sci. (N. Y.) 135 (2006), no. 4, 3244-3255.
N. Buric, K. Todorovic, Return time entropies for a class of circle homeomorphisms, J. Phys. A 37 (2004), no. 24, 6243-6250.
N. Buric, I. Grozdanovic, N. Vasovic, Excitable and oscillatory dynamics in an in-homogeneous chain of excitable systems with delayed coupling, Chaos Solitons Fractals 22 (2004), no. 3, 731-740.
A. V. Bolsinov, B. Jovanovic, Complete involutive algebras of functions on cotangent bundles of homogeneous spaces, Mathematische Zeitschrift 246 (2004), no. 1-2, 213-236.
A. V. Bolsinov, B. Jovanovic, Integrable geodesic flows on Riemannian manifolds: Construction and Obstructions, In: Contemporary Geometry and Related Topics (Eds. Bokan N., Djoric M., Rakic Z., Fomenko A. T., Wess J.), World Scientific, 2004, pp. 57-103; arXiv: math-ph/0307015.
Y. N. Fedorov, B. Jovanovic, Nonholonomic LR systems as Generalized Chaplygin systems with an Invariant Measure and Geodesic Flows on Homogeneous Spaces, J. Non. Sci. 14 (2004), 341-381; arXiv: math-ph/0307016
V. Dragovic, B. Gajic, The Lagrange bitop on so(4)xso(4) and geometry of the Prym varieties, American Journal of Mathematics 126 (2004), no 5, 981-1004; SISSA Preprint 79/2001/FM
V. Dragovic, M. Radnovic, Cayley-type conditions for billiards within k quadrics in Rd, Journal of Physics A: Mathematical and General 37 (2004), 1269-1276; Corrigendum: "Cayley-type conditions for billiards within k quadrics in Rd" J. Phys. A 38 (2005), no. 36, 7927.
N. Buric, D. Todorovic, Dynamics of FitzHugh-Nagumo excitable systems with delayed coupling, Phys. Rev. E (3) 67 (2003), no. 6, 066222, 15 pp.
N. Buric, A. Rampioni, G. Turchetti, S. Vaienti, Weak chaos and Poincaré recurrences for area preserving maps, J. Phys. A 36 (2003), no. 14, L209-L215; Corrigendum: "Weak chaos and Poincaré recurrences for area preserving maps" J. Phys. A 36 (2003), no. 25, 7223.
N. Buric, Stability of quantum spins in a magnetic field, Fortschr. Phys. 51 (2003), no. 1, 3-13.
P. Blagojevic, V. Grujic, R. Zivaljevic, Symmetric products of surfaces and the cycle index, Israel J. Math. 138 (2003), 61-72
M. Radnovic, A note on billiard systems in Finsler plane with elliptic indicatrices, Publications de l'Institut Mathematique 74(88) (2003), 97-101
V. Dragovic, B. Jovanovic, M. Radnovic, On elliptical billiards in the Lobachevsky space and associated geodesic hierarchies, Journal of Geometry and Physics 47 (2003), issues 2-3, 221-234; SISSA Preprint 29/2002/FM, p. 14 (2002); math-ph/0210019
A. V. Bolsinov, B. Jovanovic, Non-commutative integrability, moment map and geodesic flows, Annals of Global Analysis and Geometry 23 (2003), no. 4, 305-322; math-ph/0109031
V. Dragovic, B. Gajic, The Wagner curvature tensor in nonholonomic mechanics, Regular and Chaotic Dynamics 8 (2003), no. 1, 105-124
B. Jovanovic, Some multidimensional integrable cases of nonholonomic rigid body dynamics, Regular and Chaotic Dynamics 8 (2003), no. 1, 125-132
R. Zivaljevic, Topological methods, Chapter 14 of CRC Handbook of Discrete and Computational Geometry. J.E. Goodman, J. O'Rourke (eds.), CRC Press, New York, 2003
S. Vrecica, R. Zivaljevic, Arrangements, equivariant maps and partition of measures by k-fans, The Goodman-Polack Festschrift (B. Aronov, S. Basu, J. Pach, M. Sharir, eds.), Algorithms and Combinatorics, Springer Verlag, Berlin, 2003.
B. Jovanovic, On the integrability of geodesic flows of submersion metrics, Letters in Mathematical Physics 61 (2002), no. 1, 29-39; math-ph/0204048
N. Buric, A. Rauh, On the explicit form of the Grobman-Hartman homeomorphisms for dissipative dynamical systems, Rep. Math. Phys. 50 (2002), no. 2, 143-154.
N. Buric, Transformation properties of perturbation expansions around elliptic fixed points, J. Phys. A 35 (2002), no. 28, 5859-5874.
N. Buric, D. Todorovic, Dynamics of delay-differential equations modelling immunology of tumor growth, Chaos,Solitons & Fractals 13 (2002), Issue 4, 645-655.
N. Buric, N. Vasovic, Sufficiently general framework for simple models of the net immune response, Chaos Solitons Fractals 13 (2002), no. 9, 1771-1782.
V. Dragovic, The Appell hypergoemetric functions and classical separable mechanical systems, J. Phys. A: Math. Gen. 29 (2002), 2213-2221; math-ph/0008009
S. Vrecica, R. Zivaljevic, Conical equipartitions of mass distributions, Discrete Comput. Geom. 25 (2001), 335-350
E. Makai, S. Vrecica, R. Zivaljevic, Plane sections of convex bodies of maximal volume, Discrete Comput. Geom., 25 (2001), no.1, 33-49
А. В. Болсинов, Б. Йованович, Интегрируемые геодезические потоки на однородных пространствах, Математический Сборник, 192 (2001), вып. 7, 21-40
B. Jovanovic, Geometry and integrability of Euler--Poincare--Suslov equations, Nonlinearity, 14 (2001), no. 6, 1555-1657; math-ph/0107024
V. Dragovic, B. Gajic, L-A pair for the Hess-Apel'rot system and new integrable case in so(4)xso(4), Proc4eedings of Royal society of Edinburgh A, 131 (2001), no. 4, 845-855; math-ph/9911047
N. Buric, M. Mudrinic, N. Vasovic, Time-Delay in a Basic Model of the Immune Response, Chaos, Solitons and Fractals , 12 (2001), no. 3, 483-489
N. Buric, N. Vasovic, Sufficiently general framework for simple models of the immune response, preprint accepted in Chaos, Solitons and Fractals (2001)
O. Milenkovic, S. Nikcevic, N. Buric, Chaos in a Hamiltonian Description of Interacting Spins, Chaos, Solitons and Fractals, 12 (2001), no. 3, 589-597.
S. Kocic, Lj. Ristovski, N. Buric, Nonlinear dynamics of a symmetric Davidov-Froelich dimer, Chaos, Solitons and Fractals 12 (2001), 1839-
S. Kocic, Lj. Ristovski, N. Buric, Stability of exitations in a nonlinear Froelich dimer, Physica Scripta, 62 (2000), 248-254
N. Buric, N. Vasovic, Variations of the stability due to the time-delay in the immune response, Nonlinear Phenomena in Complex Systems 3 (2000), 388
R. Zivaljevic, The Tverberg-Vrecica problem and the combinatorial geometry on vector bundles, Israel J. Math., 111 (1999), 53-76.
V. Welker, G.M. Ziegler, R. Zivaljevic, Homotopy colimits - comparison lemmas for combinatorial applications, J. Reine Angew. Math., 509 (1999), 117-149.
B. Jovanovic, Nonholonomic left and right flows on Lie groups, J. Phys A-Math. Gen, 32 (1999), 8293-8302.
N. Buric, N. Vasovic, A simple model of the chaotic immune responce, Chaos, Solitons and Fractals, 10 (1999), 1185.
D. Arsenovic, N. Buric, D. M. Davidovic, Classical-like states of the spin s=1/2, Phys Rev A, 60 (1999), 1797.
R. Zivaljevic, Combinatorics of topological posets: Homotopy complementation formulas, Advances Appl. Math., 21 (1998), 547-574.
В. И. Драгович, Интегрируемые возмущения биллиарда Биркгофа внутри еллипса, Прикладная математика и механика, 62 (1998), вып. 1, 166-169.
V. Dragovic, A new rational free-fermion solution of the Yang-Baxter equation, Publications de l'Institut Matematique, 63(77) (1998), 147-151.
V. Dragovic, Integration of the perturbed Jacobi problem, Publications de l'Institut Matematique, 63(77) (1998), 143-146.
V. Dragovic, Classical integrable mechanical systems and their integrable perturbations, Publications de l'Institut Matematique, 64(78) (1998), 153-164.
V. Dragovic, B. Gajic, B. Jovanovic, Generalizations of classical integrable nonholonomic rigid body systems, Journal of Physics A: Mathematical and General, 31 (1998), no. 49, 9861-9869.
V. Dragovic, M. Radnovic, On periodical trajectories of the billiard systems within an ellipsoid in R^d and generalized Cayley's condition, Journal of Mathematical Physics, 39 (1998), no. 11, 5866-5869.
V. Dragovic, M. Radnovic, Conditions of Cayley's type for ellipsoidal billiard, Journal of Mathematical Physics, 39 (1998), no 1, 355-362.
B. Jovanovic, Nonholonomic geodesic flows on Lie groups and integrable Suslov problem on SO(4), J. Phys A-Math. Gen, 31 (1998), 1415-1422.
N. Buric, M. Mudrinic, K. Todorovic, Universal scaling of critical quasiperiodic orbits in a class of twist maps, J. Phys. A: Math and Gen, 31 (1998), no. 39, 7847-7854.
N. Buric, M. Mudrinic, Modular Smoothing of Action, J. Phys. A: Math and Gen, 31 (1998), no. 8, 1875-1892.
N. Buric, M. Mudrinic, K. Todorovic, Equivalent Classes of Critical Circles, J. Phys. A: Math and Gen, 30 (1997), no. 7, L161-L165.
N. Buric, M. Mudrinic, K. Todorovic, Equivalent Critical Behaviour of the Periodic Hamiltonian Maps, Facta Universitatis, 1 (1997), no. 4, 21
N. Buric, Reduction of infinite Hamiltonian systems in classical and quantum mechanics, Facta Universitatis, 1 (1997), 15.
В. И. Драгович, Решения уравнения Янга и алгебраические кривые рода большего 1, Функциональный анализ и его приложения, 31 (1997), вып. 2, 70-73.
V. Dragovic, Note on L-A pair for the Kowalevskaya gyrostat in a magnetic field, Matematicki Vesnik, 49 (1997), 279-281
V. Dragoviс, B. Jovanoviс, On integrable potential perturbations of billiard system within ellipsoid, Journal of Mathematical Physics, 38 (1997), 3063-3068
B. Jovanovic, Integrable perturbations of billiards on constant curvature surfaces, Phys lett A, 231 (1997), 353-358
V. Dragovic, B. Jovanovic, On integrable potential perturbations of billiard system within ellipsoid, J. Math. Phys, 38 (1997), 3063-3068
V. Dragovic, On integrable potential perturbations of the Jacobi problem for the geodesics on the ellipsoid, Journal of Physics A: Mathematical and General, 29 (1996), L317-L321
N.Buric, M. Mudrinic, D. Timotijevic, Singularity Spectrum of a Fractal Diagram for a Hamiltonian System, J.Phys. A, 29 (1996), L159
N. Buric, M. Mudrinic, D. Timotijevic, Efficient and Accurate Calculations of Stability Bounds in Hamiltonian Systems, Phys. Rev. E, 54 (1996), 1463
N. Buric, M. Mudrinic, A. Piper, D. Timotijevic, Complexity of critical functions for Hamiltonian systems, J. Phys. A 27 (1994), no. 15, 5201-5208.
N. Buric, I.C. Percival, Modular Smoothing and KAM tori, Physica D, 71 (1994), no. 1-2, 39-54.
V. Dragovic, The algebraic Bethe ansatz and vacuum vectors, Publication de l'Institut Matematique, 55(69) (1994),105-110
В. И. Драгович, Решения уравнения Янга с рациональными неприводимыми спектральными кривыми, Известия Российской Академии Наук, серия математическая, 57 (1993), вып. 1, 59-75
В. И. Драгович, Бакстеровская редукция рациональних решений Янга , Вестник МГУ, серия 1, математика, механика, (1992), вып. 5, 84-86
В. И. Драгович, Решения уравнения Янга с рациональными спектральными кривыми, Алгебра и Анализ, Санкт-Петерсбург, 4 (1992), вып. 5, 104-116
O. Piro, N. Buric, I. C. Percival, Exact results on the critical function for the motion of an electron driven by two plane waves, Physics Letters A 165 (1992), 320-324.
N. Buric, J. H. E. Cartwright, I.C. Percival, O. Piro, On Modular Smoothing and Scaling Functions for Mode Locking, Phys. Lett. A 163 (1992), no. 1-2, 63-67.
A. B. Burd, N. Buric, R. Tavakol, Chaos, entropy and cosmological models, Gravitation (Banff, AB, 1990), 54-64, World Sci. Publ., River Edge, NJ, 1991.
N. Buric, I. C. Percival, Modular Smoothing and Finite Perturbation Theory, Nonlinearity 4 (1991), no. 3, 981-1000.
A. B. Burd, N. Buric, R. Tavakol, Chaos, Entropy and Cosmology, Classical Quantum Gravity 8 (1991), no. 1, 123-133.
A. B. Burd, N. Buric, G.F.R. Ellis, A Numerical Analysis of Chaotic Behaviour in Bianchi IX Models, Gen. Relativity Gravitation 22 (1990), no. 3, 349-363.
N. Buric, I.C. Percival, F. Vivaldi, Critical Function and Modular Smoothing, Nonlinearity 3 (1990), no. 1, 21-37.