Todor Branzov
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Todor Branzov has a total of 7 co-authors. Here are the top co-authors by number of shared publications:
- Tsvetelin Zaevski
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
3 shared publications - Anton Iliev
Faculty of Mathematics and Informatics, University of Plovdiv “Paisii Hilendarski”, 24, Tzar Asen Str., 4000 Plovdiv, Bulgaria
2 shared publications - Nikolay Kyurkchiev
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
2 shared publications - Asen Rahnev
Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24, Tzar Asen Str., 4000 Plovdiv, Bulgaria
1 shared publication - Krassimira Ivanova
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
1 shared publication - Mladen Georgiev
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
1 shared publication
Latest Publications
- Open Access
- 27 March 2025
- Published by Institute of Mathematics and Informatics Bulgarian Academy of Sciences in Mathematics and Education in Mathematics
- Vol. 54, 078-083
Functional model of PROs data collection system
The article presents an analysis of the documentation and research articles on 8 of the most widely used contemporary methodologies for collecting patient reported outcomes (PRO) data. Based on this analysis, a universalized functional model for collecting PRO data is proposed, which aims to identify the main system roles and present a view independent of a specific methodology, thus facilitating easier software information systems development.
- 27 March 2025
- Published by Institute of Mathematics and Informatics Bulgarian Academy of Sciences in Mathematics and Education in Mathematics
- Vol. 54, 078-083
Open AccessFunctional model of PROs data collection system
The article presents an analysis of the documentation and research articles on 8 of the most widely used contemporary methodologies for collecting patient reported outcomes (PRO) data. Based on this analysis, a universalized functional model for collecting PRO data is proposed, which aims to identify the main system roles and present a view independent of a specific methodology, thus facilitating easier software information systems development.
- Open Access
- 24 February 2025
- Published by MDPI AG in Mathematics
- Vol. 13 (5) , 722
A Note on the Dynamics of Modified rf-SQUIDs: Simulations and Possible Control over Oscillations
The so-call SQUIDs (abbreviated from superconducting quantum interference device) are very sensitive apparatuses especially built for metering very low magnetic fields. These systems have applications in various practical fields—biology, geology, medicine, different engineering areas, etc. Their features are mainly based on superconductors and the Josephson effect. They can be differentiated into two main groups—direct current (DC) and radio frequency (RF) SQUIDs. Both of them were constructed in the 1960s at Ford Research Labs. The main difference between them is that the second ones use only one superconducting tunnel junction. This reduces their sensitivity, but makes them significantly cheaper. We investigate namely the rf-SQUIDs in the present work. A number of authors devote their research to the rf-SQUIDs driven by an oscillating external flux. We aim to enlarge the theoretical base of these systems by adding new factors in their dynamics. Several particular cases are explored and simulated. We demonstrate also some specialized modules for investigating the proposed model. One application for possible control over oscillations is also discussed. It is based on the Fourier transform and, as a consequence, on the characteristic function of some probability distributions.
- 24 February 2025
- Published by MDPI AG in Mathematics
- Vol. 13 (5) , 722
Open AccessA Note on the Dynamics of Modified rf-SQUIDs: Simulations and Possible Control over Oscillations
The so-call SQUIDs (abbreviated from superconducting quantum interference device) are very sensitive apparatuses especially built for metering very low magnetic fields. These systems have applications in various practical fields—biology, geology, medicine, different engineering areas, etc. Their features are mainly based on superconductors and the Josephson effect. They can be differentiated into two main groups—direct current (DC) and radio frequency (RF) SQUIDs. Both of them were constructed in the 1960s at Ford Research Labs. The main difference between them is that the second ones use only one superconducting tunnel junction. This reduces their sensitivity, but makes them significantly cheaper. We investigate namely the rf-SQUIDs in the present work. A number of authors devote their research to the rf-SQUIDs driven by an oscillating external flux. We aim to enlarge the theoretical base of these systems by adding new factors in their dynamics. Several particular cases are explored and simulated. We demonstrate also some specialized modules for investigating the proposed model. One application for possible control over oscillations is also discussed. It is based on the Fourier transform and, as a consequence, on the characteristic function of some probability distributions.
- Open Access
- 27 October 2024
- Published by MDPI AG in Mathematics
- Vol. 12 (21) , 3368
Dynamics of Some Perturbed Morse-Type Oscillators: Simulations and Applications
The purpose of this paper is to investigate some Morse-type oscillators. In its original form, it is a model for describing the vibrations of a diatomic molecule. The Morse potential generalizes the harmonic oscillator by introducing deviations from the classical theoretical model. In the present study, we perturbed the Morse differential equation by several periodic terms based on the function and by a damping term. The frequency is driven by different coefficients. The size of the deviations is controlled by another constant. We provide two modifications w.r.t. the damping term. The Melnikov approach is applied as an indicator of the possible chaotic opportunities. We also propose a novel approach for stochastic control of the perturbations. It is based on the assumption that the coefficients of the periodic terms are the probabilities of underlying distribution. As a result, the dynamics are driven by its characteristic function. Several applications are considered. We demonstrate some specialized modules for investigating the dynamics of the proposed models, along with the synthesis of radiating antenna patterns.- 27 October 2024
- Published by MDPI AG in Mathematics
- Vol. 12 (21) , 3368
Open AccessDynamics of Some Perturbed Morse-Type Oscillators: Simulations and Applications
The purpose of this paper is to investigate some Morse-type oscillators. In its original form, it is a model for describing the vibrations of a diatomic molecule. The Morse potential generalizes the harmonic oscillator by introducing deviations from the classical theoretical model. In the present study, we perturbed the Morse differential equation by several periodic terms based on the function and by a damping term. The frequency is driven by different coefficients. The size of the deviations is controlled by another constant. We provide two modifications w.r.t. the damping term. The Melnikov approach is applied as an indicator of the possible chaotic opportunities. We also propose a novel approach for stochastic control of the perturbations. It is based on the assumption that the coefficients of the periodic terms are the probabilities of underlying distribution. As a result, the dynamics are driven by its characteristic function. Several applications are considered. We demonstrate some specialized modules for investigating the dynamics of the proposed models, along with the synthesis of radiating antenna patterns. - 10 November 2019
- Published by Springer Nature
- p. 40-50
Service-Microservice Architecture for Context-Aware Content Delivery in National Geoinformation Center of Bulgaria
- 10 November 2019
- Published by Springer Nature
- p. 40-50
Service-Microservice Architecture for Context-Aware Content Delivery in National Geoinformation Center of Bulgaria
- Open Access
- 3 November 2017
- Published by Institute of Mathematics and Informatics Bulgarian Academy of Sciences in Serdica Journal of Computing
- Vol. 10 (3-4) , 263-284
Community-Sourcing in Virtual Societies
The paper studies the approaches to development of goods with active participation of virtual community members. The concept of community-sourcing is presented as an alternative to the open source model and crowdsourcing. On that foundation a conceptual model of resource management system that use some current good practices of the IT industry is proposed. Results obtained in a virtual community implementing the model are presented as a validation attempt. ACM Computing Classification System (1998): H.5.3., H.3.5., J.4., K.3.1., K.4.3., K.6.1.
- 3 November 2017
- Published by Institute of Mathematics and Informatics Bulgarian Academy of Sciences in Serdica Journal of Computing
- Vol. 10 (3-4) , 263-284
Open AccessCommunity-Sourcing in Virtual Societies
The paper studies the approaches to development of goods with active participation of virtual community members. The concept of community-sourcing is presented as an alternative to the open source model and crowdsourcing. On that foundation a conceptual model of resource management system that use some current good practices of the IT industry is proposed. Results obtained in a virtual community implementing the model are presented as a validation attempt. ACM Computing Classification System (1998): H.5.3., H.3.5., J.4., K.3.1., K.4.3., K.6.1.