The paper "Study of dynamic modes of fractional Selkov oscillator with variable coefficients using bifurcation diagrams" has been published in "Computational Mathematics and Modeling" Journal by Springer

The author is the Leading Researcher of the Laboratory of Modeling of Physical Processes of IKIR FEB RAS, Dr. Sci. (Phys.-Math.) Parovik Roman Ivanovich.   

In this article, we study the nonlinear dynamic Selkov system with fractional derivatives of the Gerasimov-Caputo type of variable orders and variable coefficients, which is a Cauchy problem.

Some issues of the existence and uniqueness of a solution to this Cauchy problem are considered. The Adams-Bashforth-Multon numerical method from the family of predictor-corrector methods is chosen as an algorithm for studying this system.

The numerical algorithm is used to visualize the results of the study: bifurcation diagrams, oscillograms, and phase trajectories are constructed depending on the characteristic time scale. Using bifurcation diagrams, various dynamic modes of the Selkov fractional oscillator are identified.

Full text is available at: https://link.springer.com/article/10.1007/s10598-025-09649-5.

For the reference: Parovik, R.I. Study of dynamic modes of fractional Selkov oscillator with variable coefficients using bifurcation diagrams. Comput Math Model (2025). https://doi.org/10.1007/s10598-025-09649-5.