PUBLICATIONS in JOURNALS and PROCEEDINGS

Brezov D., Mladenova C. and Mladenov I.,Factorizations in Special Relativity and Quantum Scattering on the Line II, AIP Conf. Proc. 1789 (2016) 020009-1–020009-10.

Uçum A., Ilarslan K. and Mladenov I. , Elastic Sturmian Spirals in the Lorentz-Minkowski Plane , Open Math., 14 (2016) 1149–1156.

Donchev V., Mladenova C. and Mladenov I. , Some Alternatives of the Rodrigues Axis-Angle Formula, C. R. Acad. Sci. Bulg 69 (2016) 697-706.

Mladenov I. and Oprea J., On the Geometry of the Rotating Liquid Drop, Mathematics and Computers in Simulation 127 (2016) 194-202.

Pulov V., Hadzhilazova M. and Mladenov I., A New Characterization of Eulerian Elasticas , Geom. Integrability & Quantization 17 (2016) 309-317, doi:10.7546/giq-17-2016-309-317 [Full Text - DjVu].

Vassilev V., Djondjorov P., Hadzhilazova M. and Mladenov I., Axially Symmetric Willmore Surfaces Determined by Quadratures, Geom. Integrability & Quantization 17 (2016) 369-378, doi:10.7546/giq-17-2016-369-378 [Full Text - DjVu].

Donchev V., Mladenova C. and Mladenov I., Vector-Parameter Forms of SU(1,1), SL(2,R) and their Connection to SO(2,1), Geom. Integrability & Quantization 17 (2016) 196-230, doi:10.7546/giq-17-2016-196-230 [Full Text - DjVu].

Donchev V., Mladenova C. and Mladenov I., On the Compositions of Rotations, AIP Conf. Proc. 1684 (2015) 080004-1-080004-11 (doi: 10.1063/1.4934315), SJR = 0.16.

Brezov D., Mladenova C. and Mladenov I., Variations of (Pseudo-)Rotations and the Laplace-Beltrami Operator on Homogeneous Spaces, AIP Conf. Proc. 1684 (2015) 080002-1-080002-13 (doi: 10.1063/1.4934313), SJR = 0.16.

Brezov D., Mladenova C. and Mladenov I., On the Necessary and Sufficient Condition for the Decomposition of Orthogonal Transformations, AIP Conf. Proc. 1690 (2015) 050003-1 – 050003-6, doi: 10.1063/1.4936733, ISSN , SJR: 0.16.

Donchev V., Mladenova C. and Mladenov I., On the Generalized Euler Resolutions of Rotations, C. R. Acad. Sci. Bulg. 68 (2015) 815-824, ISSN: 0366-8681, IF = 0.219.

Donchev V., Mladenova C. and Mladenov I., On the Vector-Parameter Form of the SU(2) to SO(3,R) Map, Ann. Sofia Univ., Fac. Math. Inf. 102 (2015) 91-107.

Ilarslan K., Uçum A. and Mladenov I., Sturmian Spirals in Lorentz-Minkowski Plane, J. Geom. Symmetry Phys. 37 (2015) 25-42.

Brezov D., Mladenova C. and Mladenov I., Wigner Rotation and Thomas Precession: Geometric Phases and Related Physical Theories, J. Korean Phys. Soc. 66 (2015) 1656-1663, doi: 10.3938/jkps.66.0, ISSN: 0374-4884, IF = 0.425.

Pulov V., Hadzhilazova M. and Mladenov I., The Mylar Balloon: An Alternative Description, Geom. Integrability & Quantization 16 (2015) 256-269, http://projecteuclid.org/euclid.pgiq/1436815749 [Full Text - DjVu].

Vassilev V., Djondjorov P. and Mladenov I., Comment on “Shape Transition of Unstrained Flattest Single-Walled Carbon Nanotubes Under Pressure” [J. Appl. Phys. 115, 044512], Journal of Applied Physics 117 (2015) 196101.

Brezov D., Mladenova C. and Mladenov I., On the Decomposition of the Infinitesimal (Pseudo-) Rotations, C. R. Acad. Sci. Bulg. 67 (2014) 1337-1344, ISSN: 0366-8681, IF = 0.219.

Hadzhilazova M., Ganghoffer J.-F. and Mladenov I., Membrane Fusion Based on the Geometry of the Stalk Model, Mech. Res. Commun. 63 (2014) 54-60.

Brezov D., Mladenova C. and Mladenov I., Euler Decompositions in Non-Orthogonal Bases, In: Integrability, Recursion Operators and Soliton Interactions, B. Aneva, G. Grahovski, R. Ivanov and D. Mladenov (Eds), Avangard Prima, Sofia 2014, pp 218-224.

Mladenova C., Brezov D. and Mladenov I., New Forms of the Equations of the Attitude Kinematics, Proc. Appl. Math. Mech. 14 (2014) 87-88.

Brezov D., Mladenova C. and Mladenov I., The Geometry of Pythagorean Quadruples and Rational Decomposition of Pseudo-Rotations, In: Mathematics in Industry, Cambridge Scholars Publishing, Newcastle upon Tyne 2014, pp 176-197, ISBN: 978-1-4438-6401-5.

Mladenova C., Brezov D. and Mladenov I., Covariant Decomposition of the Three-Dimensional Rotations, Intelligent Robotics and Applications - LNAI 8918, Springer, Berlin 2014, pp 504-511, SJR = 0.31.

Mladenov I., Marinov P. and Hadzhilazova M., Elastic Spirals, AIP Conf. Proc. 1629 (2014) 437-443; doi: 10.1063/1.4902306, ISSN- 0094-243X.

Brezov D., Mladenova C. and Mladenov I., Two-Axes Decompositions of \textup{(}Pseudo-\textup{)} Rotations and Some of Their Applications, AIP Conf. Proc. 1629 (2014) 226-234, doi: 10.1063/1.4902277, ISSN- 0094-243X.

Vassilev V., Djondjorov P. and Mladenov I., Lie Group Analysis of the Willmore and Membrane Shape Equations, Similarity and Symmetry Methods Lecture Notes in Applied and Computational Mechanics 73, Springer, Berlin 2014, pp 365-376, doi: 10.1007/978-3-319-08296-7-7, ISBN 978-3-319-08295-0.

Vassilev V., Djondjorov P., Atanassov E., Hadzhilazova M. and Mladenov I., Explicit Parametrizations of Willmore Surfaces, AIP Conference Proceedings 1629 (2014) 201-206, doi:10.1063/1.4902274, SJR=0.16.

Brezov D., Mladenova C. and Mladenov I., Generalized Euler Decompositions of Some Six-Dimensional Lie Groups, AIP Conf. Proc. 1631 (2014) 282-291, ISSN- 0094-243X, SJR=0.16.

Chacarov E., Pulov V. and Mladenov I., Translationally Invariant Solutions of the Helfrich Shape Equation, In: Informatics in the Scientific Knowledge, VFU, Varna 2014, pp 307-314, ISSN 1313-4345.

Pulov V., Hadzhilazova M. and Mladenov I., Symmetries and Some Special Solutions of the Helfrich Model, In: Similarity and Symmetry Methods Lecture Notes in Applied and Computational Mechanics 73, Springer, Berlin 2014, pp 353-364, doi: 10.1007/978-3-319-08296-7-6, ISBN 978-3-319-08295-0.

Brezov D., Mladenova C. and Mladenov I., On the Decomposition of the Infinitesimal (Pseudo-)Rotations, C. R. Acad. Bulgare Sci. 67 (2014) 1337-1344.

Mladenov I. and Oprea J.,On the Geometry of the Rotating Liquid Drop, Math. & Computers in Simulation 101 (2014) xx-yy, in print.

Vassilev V., Djondjorov P., Hadzhilazova M. and Mladenov I., Analytic Representation of a Class of Axially Symmetric Willmore Surfaces, In: Integrability, Recursion Operators and Soliton Interactions, B. Aneva, G. Grahovski, R. Ivanov and D. Mladenov (Eds), Avangard Prima, Sofia 2014, pp 325-330.

Pulov V., Hadzhilazova M. and Mladenov I., Delaunay Surfaces in Terms of Weier\-strassian Functions, In: Integrability, Recursion Operators and Soliton Interactions, B. Aneva, G. Grahovski, R. Ivanov and D. Mladenov (Eds), Avangard Prima, Sofia 2014, pp 218-224.

Vassilev V., Hadzhilazova M., Djondjorov P. and Mladenov I., Motion of Charged Particles in the Equatorial Plane of a Magnetic Dipole Field, Geometry, Integrability & Quantization 15 (2014) 283-291 [Full Text - DjVu].

Marinov P., Hadzhilazova M. and Mladenov I., Elastic Sturmian Spirals, Comptes Rendus de l'Academie Bulgare des Sciences 67 (2014) 167-172.

Brezov D., Mladenova C. and Mladenov I.,Covariant Vector Decomposition of Three-Dimensional Rotations, In: Proc. of the Forty Third Spring Conference of the Union of Bulgarian Mathematicians, UBM, Sofia 2014, pp 118-123.

Brezov D., Mladenova C. and Mladenov I., A Decoupled Solution to the Generalized Euler Decomposition Problem in ${\mathbb R}^3$ and ${\mathbb R}^{2,1}$, J. Geom. Symmetry Phys. 33 (2014) 47-78.

Pulov V., Hadzhilazova M. and Mladenov I., Cylindrical Helfrich Surfaces, In: Proc. of the Forty Third Spring Conference of the Union of Bulgarian Mathematicians, UBM, Sofia 2014, pp 132-137.

Mladenov I., Hadzhilazova M., Vassilev V. and Djondjorov P., Unduloid-Like Equili\-brium Shapes of Carbon Nanotubes Subjected to Hydrostatic Pressure, In: Geometric Methods in Physics, Springer, Basel 2013, pp 195-202.

Brezov D., Mladenova C. and Mladenov I., New Perspective on the Gimbal Lock Problem, AIP Conference Proceedings 1570 (2013) 367-374.

Marinov P., Hadzhilazova M. and Mladenov I., Cylindrical Fluid Membranes and the Evolutions of Planar Curves, Geometry, Integrability and Quantization 14 (2013) 142-151 [Full Text - DjVu].

Brezov D., Mladenova C. and Mladenov I., Vector Parameters in Classical Hyperbolic Geometry, J. Geom. Symmetry Phys. 30 (2013) 19-48.

Vassilev V., Djondjorov P., Hadzhilazova M. and Mladenov I., Traveling Wave Solutions of the One-Dimensional Boussinesq Paradigm Equation, AIP Conference Proceedings 1561 (2013) 327-332.

Brezov D., Mladenova C. and Mladenov I.,Some New Results on Three-Dimensional Rotations and Pseudo-Rotations, AIP Conference Proceedings 1561 (2013) 275-288.

Pulov V., Chacarov E., Hadzhilazova M. and Mladenov I., Symmetry Properties of the Membrane Shape Equation, Geometry, Integrability and Quantization 14 (2013) 152-159 [Full Text - DjVu].

Brezov D., Mladenova C. and Mladenov I., Vector Decomposition of Half Turns, In: Forty Second Spring Conference of the Union of the Bulgarian Mathematicians, Sofia 2013, pp 198-204.

Mladenov I., Djondjorov P., Hadzhilazova M. and Vassilev V.,Equilibrium Confi\-gurations of Lipid Bilayer Membranes and Carbon Nanostructures, Commun. Theor. Phys. 59 (2013) 213-228.

Brezov D., Mladenova C. and Mladenov I., Quarter Turns and New Factorizations of Rotations, C. R. Acad. Bulgare Sci. 66 (2013) 1105-1114 .

Brezov D., Mladenova C. and Mladenov I., On the Factorization of Rotations, In: BGSIAM'12, Sofia 2012, pp 39-48.

Brezov D., Mladenova C. and Mladenov I., Vector Decomposition of Rotations, J. Geom. Symmetry Phys. 28 (2012) 67-103.

Pulov V., Hadzhilazova M.,Kardjilova K., Lyutskanov V. and Mladenov I.,, Helfrich’s Shape Model of Biological Membranes: Group Analysis, Determining System and Symmetries, In: Proceedings of the Third International Scientific Congress vol. VII, TU Varna, 2012 pp 271-275.

Mladenova C. and Mladenov I., An Approach for Decomposition of Finite Rotations, Proc. Appl. Math. Mech. 12 (2012) 45 – 46.

Vassilev V., Djondjorov P., Hadzhilazova M., Mladenov I. and Slawianowski Jan J., Equilibrium Shapes of Fluid Membranes and Carbon Nano-structures, Mechanics of Nanomaterials and Nanotechnology, SAMM vol.3, IMECH, Sofia 2012, pp 153–154.

Mladenova C. and Mladenov I., About Parametric Representations of SO (n) Matrices and Plane Rotations, AIP Conference Proceedings 1487 (2012) 280-287.

Marinov P. and Mladenov I., A Relation Between the Cylindric Fluid Membranes and the Motions of Planar Curves, J. Geom. Symmetry Phys 27 (2012) 93-102.

Djondjorov P., Vassilev V. and Mladenov I., Deformation of Injected Vesicles Adhering Onto Flat Rigid Substrates, Computers & Mathematics with Applications 64 (2012) 214--220.

Mladenov I. and Hadzhilazova M., Geometry of the Anisotropic Minimal Surfaces, An. St. Univ. Ovidius Constanta 20 (2012) 79-88.

Djondjorov P., Vassilev V., Hadzhilazova M. and Mladenov I., Analytic Description of the Viscous Fingering Interface in a Hele-Shaw Cell, Geometry, Integrability & Quantization 13 (2012) 107--113 [Full Text - DjVu].

Mladenov I., Hadzhilazova M., Djondjorov P. and Vassilev V., Serret's Curves, their Generalization and Explicit Parametrization, Geometric Methods in Physics, (Eds P.Kielanowski, S. T. Ali, A. Odzijewicz, M. Schlichenmaier and Th. Voronov), Birkhäuser, Basel 2012, pp 383-390.

Vassilev V., Djondjorov P., Hdzhilazova M. and Mladenov I. , Traveling Wave Solutions of the Gardner Equation and Motion of Plane Curves Governed by the mKdV Flow, AIP Conference Proceedings 1404 (2011) 86-93.

Mladenova C. and Mladenov I. , Vector Decomposition of Finite Rotations, Rep. Math. Phys. 68 (2011) 107-117.

Djondjorov P., Vassilev V., Mladenov I. , Analytic Description and Explicit Parametrisation of the Equilibrium Shapes of Elastic Rings and Tubes Under Uniform Hydrostatic Pressure, I.J.Mech. Sci. 53 (2011) 355–364.

Vassilev V., Kostadinov K., Mladenov I., Shulev A., Stoilov G. and Djondjorov P. , Cell membranes under hydrostatic pressure subjected to micro-injection, AIP Conference Proceedings 1340 (2011) 234-240.

Djondjorov P., Mladenov I. and Vassilev V. , Analytic description of the equilibrium shapes of elastic rings under uniform hydrostatic pressure, AIP Conference Proceedings 1340 (2011) 189-202.

Mladenov I., Hadzhilazova M., Djondjorov P. and Vassilev V. , On Some Deformations of the Cassinian oval, AIP Conference Proceedings 1340 (2011) 81-89.

Djondjorov P., Kostadinov K., Stoilov G. and Vassilev V.,  Modeling of Stresses and Strains in Cell Membranes Subjected to Micro-Injection, Geometry, Integrability & Quantization 12 (2011) 178-185 [Full Text - DjVu].

Hadzhilazova M., Mladenov I., Djondjorov P. and Vassilev V.,  New Parameterizations of the Cassinian Ovals, Geometry, Integrability & Quantization 12 (2011) 237-243 [Full Text - DjVu].

Mladenov I., Hadzhilazova M., Djondjorov P. and Vassilev V. , On the Generalized Sturmian Spirals, CRAS (Sofia) 64 (2011) 633-640.

Mladenov I., Hadzhilazova M., Djondjorov P. and Vassilev V. , On the Plane Curves Whose Curvature Depends on the Distance from the Origin, AIP Conference Proceedings 1307 (2010) 112-118.

Mladenov I., Hadzhilazova M., Djondjorov P. and Vassilev V. , Some Explicit Solutions of the Shape Equation, AIP Conference Proceedings 1301 (2010) 215-227.

Hadzhilazova M., Jean-Francois Ganghoffer and Mladenov I., Analytical Description of the Shapes of Beaded Nerve Fibres, CRAS (Sofia) 63 (2010) 1155-1162.

Hadzhilazova M. and Mladenov I., On Bernoulli's Lemniscate and Co-lemniscate, CRAS (Sofia) 63 (2010) 843-848.

Djondjorov P., Hadzhilazova M., Mladenov I. and Vassilev V., Beyond Delaunay Surfaces, JGSP 18 (2010) 1-11.