PUBLICATIONS in JOURNALS and PROCEEDINGS

Djondjorov P., Vassilev V. and Mladenov I. Junctions Between Carbon Nanotubes and Flat Graphene Sheets or Co-axial Carbon Nanotubes, CRAS (Sofia) 62 (2009) 805–810.

Djondjorov P., Vassilev V. and Mladenov I. Plane Curves Associated with Integrable Dynamical Systems of the Frenet-Serret Type, In: Proc. 9th International Workshop on Complex Structures, Integrability and Vector Fields, World Scientific, Singapore, 2009 pp 56–62.

Vassilev V., Djondjorov P. and Mladenov I. Integrable Dynamical Systems of the Frenet-Serret Type, In: Proc. 9th International Workshop on Complex Structures, Integrability and Vector Fields, World Scientific, Singapore, 2009 pp 234–244.

Vassilev V., Djondjorov P. and Mladenov I. Application of Continuum Mechanics Approach to the Shape Analysis of Carbon Nanotubes and Their Junctions, In: Proc. 10th Workshop on Nanoscience \& Nanotechnology (Nanostructered Materials, Application and Innoviation Transfer), E. Balabanova and J. Dragieva (Eds), BAS–NCCNT, ISSN 1313–8995, Sofia, 2009 pp 11–16.

Djondjorov P., Hadzhilazova M.,  Mladenov I.and  Vassilev V.A Note on the Passage From the Free to the Elastica with a Tension, In: Proceedings of the Tenth International Conference on Geometry, Integrability and Quantization, Avangard Prima, Sofia 2009, pp 164-170.

Hadzhilazova M. and Mladenov I., On Evolutes of Nodary and Undulary Delaunay Curves In: Proceedings of the Thirty Eighth Spring Conference of the Union of Bulgarian Mathematicians, Borovets, April 1-5, 2009 pp 131-137.

Mladenov I. and Oprea J., Balloons, Domes and Geometry, JGSP 15 (2009) 53-88.

Penkova A. and Mladenov I., Instability of Protein Drops via Applied Electric Field: Mathematical and Experimental Aspects, Ann. N.Y. Acad. Sci. 1161 (2009) 246-255.

Mladenov I., Hadzhilazova M., Djondjorov P. and Vassilev V., On The Intrinsic Equation Behind the Delaunay Surfaces, AIP Conference Proceedings 1079 (2008) pp. 274-280

Hadzhilazova M. and Mladenov I., Once More the Mylar Balloon, CRAS (Sofia) 61 (2008) pp 847-856.

Djondjorov P., Hadzhilazova M., Mladenov I. and Vassilev V. , Explicit Parameterization of Euler’s Elastica, In: Proceedings of the Ninth International Conference on Geometry, Integrability and Quantization, SOFTEX, Sofia 2008 pp 175-186.

Rashkova Ts. and Mladenov I. , An Algebraic Approach to Saxon-Hutner Theorem, In: Proceedings of the Ninth International Conference on Geometry, Integrability and Quantization, SOFTEX, Sofia 2008 pp 292-300.

Vassilev V., Djondjorov P. and Mladenov I., Cylindrical Equilibrium Shapes of Fluid Membranes, J.Phys. A:Math.Theor. 41 (2008) 435201 (16pp).

Ivaïlo M. Mladenov and Tsetska G. Rashkova, On the Algebraic Aspects of Saxon-Hutner Theorem, In: AIP Conference Proceedings vol 956, Melville, New York, 2007 pp 169-174. .

Hadzhilazova M., Mladenov I. and Oprea J., Unduloids and Their Geometry, Archivum Mathematicum 43 (2007) 13 pp 417- 429

Hadzhilazova M., Mladenov I. and Slawianowski J., On Kenmotsu Type Parameterization of Delaunay Surfaces In: Proceedings of the Thirty Sixth Spring Conference of the Union of Bulgarian Mathematicians, Varna, April 2-6, 2007 pp 173-179.

Mladenov I. and Oprea J., On Some Deformations of the Mylar Balloon, Publ. de la
RSME 10 (2007) 308-313.

Mladenov I. and Oprea J., The Mylar Ballon: New Viewpoints and Generalizations, In: Proceedings of the Eighth International Conference on Geometry, Integrability and Quantization, SOFTEX, Sofia 2007 pp 246-263.

Vassilev V., Djondjorov P. and Mladenov I., On the Translationally-invariant Solutions of the Membrane Shape Equation, In: Proceedings of the Eighth International Conference on Geometry, Integrability and Quantization, SOFTEX, Sofia 2007 pp 312-321.

Vassilev V., Djondjorov P. and Mladenov I., Symmetry Groups, Conservation Laws and Group– Invariant Solutions of the Membrane Shape Equation, In: Proceedings of the Seventh International Conference on Geometry, Integrability and Quantization, SOFTEX, Sofia 2006 pp 265-279.

Hadzhilazova M. and Mladenov I., Membrane Approach To Balloons And Some Related Surfaces, In: Proceedings of the Seventh International Conference on Geometry, Integrability and Quantization, SOFTEX, Sofia 2006 pp 176-186.

Dimitrov G. and Mladenov I., A New Formula for the Exponents of the Generators of the Lorentz Group, In: Proceedings of the Seventh International Conference on Geometry, Integrability and Quantization, SOFTEX, Sofia 2006 pp 98-115.

Dimitrov G. and Mladenov I., On the Exponents of Some 4x4 Matrices, In: Proceedings of the Thirty Fifth Spring Conference of the Union of Bulgarian Mathematicians, Borovets, April 5-8, 2006 pp 152-158.

Popova E., Hadzhilazova M. and Mladenov I., On Balloons, Membranes and Surfaces Representing Them, In: Proceedings of the Thirty Fifth Spring Conference of the Union of Bulgarian Mathematicians, Borovets, April 5-8, 2006 pp 201-208.

Mladenov I., Quasiclassical Approach to the Relativistic Coulomb Problem, In: Prof. G. Manev's Legacy in Contemporary Astronomy, Theoretical and Gravitational Physics, V. Gerdjikov and M. Tsvetkov (Eds), Heron Press, Sofia 2005 pp 167-178.

Mladenov I. and Mladenova C., An Approach to Reduction of the Real 3 x 3 Symmetric Secular Problem and Applications, Physics of Atomic Nuclei 68 (2005) 1916-1921.

Hadzhilazova M. and Mladenov I., A Mathematical Examination of Squeezing and Stretching of Spherical Vesicles, In: Proceedings of the Sixth International Conference on Geometry, Integrability and Quantization, SOFTEX, Sofia 2005 pp 231-239.

Mladenov I., New Geometrical Applications of the Elliptic Integrals: The Mylar Balloon, JNMP Supplement 11 (2004) 55–65.

Mladenova C. and Mladenov I., An Approach to Diagonalizing Real 3 x 3 Symmetric Matrix and Mechanical Applications, J. Theor. Appl. Mech. 34 (2004) 3-20.

Vassilev V. and Mladenov I., Geometric Symmetry Groups, Conservation Laws and Group-Invariant Solutions of the Willmore Equation,  In: Proceedings of the Fifth  International Conference on Geometry, Integrability and Quantization SOFTEX, Sofia 2004  pp 246-265.

 

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Last updated: 12.04.2007