Scientific Papers
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. Jovanovic, Partial 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 (Jacobi Docet: An Issue to Honour Jacobi's Bicentennial), 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. |
A. V. Bolsinov, B. Jovanovich, Integrable geodesic flows on homogeneous spaces, Matem. Sbornik, 192
(2001), no. 7, 21-40; English translation: Sb. Mat., 192 (2001), no. 7-8, 951-969. |
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. |
V. I. Dragovich, Integrable perturbation of Birkhoff billiard inside an ellipse,Prikladnaya matematika i mehanika, 62 (1998), no. 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. |
V. I. Dragovich, Solutions to the Yang equation and algebraic curves of genus greater than 1, Func. An. and Appl., 31 (1997),
no. 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. |
V. I. Dragovich, Solutions to the Yang equation with rational irreducible spectrual curves, Izv. Ross. Akad. Nauk, ser. mat,
57 (1993), no. 1, 59-75. |
V. I. Dragovich, Baxter reduction of rational Yang solutions, Vestnik MGU, ser. 1, mat, mech, (1992), no. 5, 84-86; English translation: Moscow-University-Mathematics-Bulletin, 47 (1992), no. 5, 59-60. |
V. I. Dragovich, Solutions to the Yang equation with rational spectral curves, Algebra i Analiz, Sankt-Petersburg, 4 (1992), no. 5, 104-116; English translation: St-Petersburg-Mathematical-Journal, 4 (1993), no. 5, 921-931. |
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. |