Project information
Applications of Functional Analysis and Singularity Theory to Bifurcation Theory
- Project Identification
- MUNI/IGA/1266/2021
- Project Period
- 1/2022 - 12/2022
- Investor / Pogramme / Project type
-
Masaryk University
- Internal grant agency MU
- MU Faculty or unit
- Faculty of Science
The project focuses on applications of functional analysis and singularity theory to the study of bifurcations of limit cycles in continuous-time dynamical systems. Particularly, the tools of the mentioned theories are used to revelation of sufficient conditions for an occurrence of period doubling bifurcation and Neimark-Sacker bifurcation.
Publications
Total number of publications: 3
2023
-
Formal Setting for Period Doubling Bifurcation of Limit Cycles
15th Chaotic Modeling and Simulation International Conference, year: 2023
-
Period-Doubling Bifurcation of Cycles in Retarded Functional Differential Equations
Journal of Dynamics and Differential Equations, year: 2023, DOI
2022
-
Formal Setting for Period Doubling Bifurcation of Limit Cycles
Year: 2022, type: Appeared in Conference without Proceedings