Publications

Journal articles

30. Singular Bifurcations in a Slow-Fast Modified Leslie-Gower Model

    Albarran-García, Roberto, Alvarez-Ramírez, Martha, Jardón-Kojakhmetov, Hildeberto

    Results in Applied Mathematics (2025) · DOI
29. On Metzler Positive Systems on Hypergraphs

    Cui, Shaoxuan, Zhang, Guofeng, Jardón-Kojakhmetov, Hildeberto, Cao, Ming

    IEEE Transactions on Control of Network Systems (2025) · DOI
28. Ergodicity in Planar Slow-Fast Systems through Slow Relation Functions

    Huzak, Renato, Jardón-Kojakhmetov, Hildeberto, Kuehn, Christian

    SIAM Journal on Applied Dynamical Systems (2025) · DOI
27. Co-Evolutionary Control of a Class of Coupled Mixed-Feedback Systems

    Venegas-Pineda, Luis Guillermo, Jardón-Kojakhmetov, Hildeberto, Cao, Ming

    Chaos: An Interdisciplinary Journal of Nonlinear Science (2025) · DOI
26. Analysis of Higher-Order Lotka-Volterra Models: Application of S-tensors and the Polynomial Complementarity Problem

    Cui, Shaoxuan, Zhao, Qi, Zhang, Guofeng, Jardon-Kojakhmetov, Hildeberto, Cao, Ming

    IEEE Transactions on Automatic Control (2025) · DOI
25. An SIS Diffusion Process with Direct and Indirect Spreading on a Hypergraph

    Cui, Shaoxuan, Liu, Fangzhou, Liang, Lidan, Jardón-Kojakhmetov, Hildeberto, Cao, Ming

    Automatica (2025) · DOI
24. The Hyperbolic Umbilic Singularity in Fast-Slow Systems

    Jardón-Kojakhmetov, Hildeberto, Kuehn, Christian, Steinert, Maximilian

    Nonlinearity (2024) · DOI
23. Persistent Synchronization of Heterogeneous Networks with Time-Dependent Linear Diffusive Coupling

    Jardón-Kojakhmetov, Hildeberto, Kuehn, Christian, Longo, Iacopo P.

    SIAM Journal on Applied Dynamical Systems (2024) · DOI
22. On Discrete-Time Polynomial Dynamical Systems on Hypergraphs

    Cui, Shaoxuan, Zhang, Guofeng, Jardón-Kojakhmetov, Hildeberto, Cao, Ming

    IEEE Control Systems Letters (2024) · DOI
21. Nonlinear Diffusion on Networks: Perturbations and Consensus Dynamics

    Bonetto, Riccardo, Kojakhmetov, Hildeberto Jardón

    Networks and Heterogeneous Media (2024) · DOI
20. Discrete-Time Layered-Network Epidemics Model with Time-Varying Transition Rates and Multiple Resources

    Cui, Shaoxuan, Liu, Fangzhou, Jardón-Kojakhmetov, Hildeberto, Cao, Ming

    Automatica (2024) · DOI
19. Stable Chimera States: A Geometric Singular Perturbation Approach

    Venegas-Pineda, Luis Guillermo, Jardón-Kojakhmetov, Hildeberto, Cao, Ming

    Chaos: An Interdisciplinary Journal of Nonlinear Science (2023) · DOI
18. Simulation-Based Reconstructed Diffusion Unveils the Effect of Aging on Protein Diffusion in Escherichia Coli

    Mantovanelli, Luca, Linnik, Dmitrii S., Punter, Michiel, Jardón-Kojakhmetov, Hildeberto, \'Smigiel, Wojciech M., Poolman, Bert

    PLOS Computational Biology (2023) · DOI
17. Slow-Fast Torus Knots

    Jardón-Kojakhmetov, Hildeberto, Huzak, Renato

    Bulletin of the Belgian Mathematical Society - Simon Stevin (2022) · DOI
16. Controlling Canard Cycles

    Jardón-Kojakhmetov, Hildeberto, Kuehn, Christian

    Journal of Dynamical and Control Systems (2022) · DOI
15. Geometric Analysis of Oscillations in the Frzilator Model

    Taghvafard, Hadi, Jardón-Kojakhmetov, Hildeberto, Szmolyan, Peter, Cao, Ming

    Journal of Mathematical Analysis and Applications (2021) · DOI
14. A Geometric Analysis of the SIRS Epidemiological Model on a Homogeneous Network

    Jardón-Kojakhmetov, Hildeberto, Kuehn, Christian, Pugliese, Andrea, Sensi, Mattia

    Journal of Mathematical Biology (2021) · DOI
13. A Geometric Analysis of the SIR, SIRS and SIRWS Epidemiological Models

    Jardón-Kojakhmetov, Hildeberto, Kuehn, Christian, Pugliese, Andrea, Sensi, Mattia

    Nonlinear Analysis: Real World Applications (2021) · DOI
12. On Fast--Slow Consensus Networks with a Dynamic Weight

    Jardón-Kojakhmetov, Hildeberto, Kuehn, Christian

    Journal of Nonlinear Science (2020) · DOI
11. Extended and Symmetric Loss of Stability for Canards in Planar Fast-Slow Maps

    Engel, Maximilian, Jardón-Kojakhmetov, Hildeberto

    SIAM Journal on Applied Dynamical Systems (2020) · DOI
10. Stabilization of a Class of Slow--Fast Control Systems at Non-Hyperbolic Points

    Jardón-Kojakhmetov, Hildeberto, Scherpen, Jacquelien M. A., del Puerto-Flores, Dunstano

    Automatica (2019) · DOI
9. Parameter-Robustness Analysis for a Biochemical Oscillator Model Describing the Social-Behaviour Transition Phase of Myxobacteria

   Taghvafard, Hadi, Jardón-Kojakhmetov, Hildeberto, Cao, Ming

   Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (2018) · DOI
8. Improving the Region of Attraction of a Non-Hyperbolic Point in Slow-Fast Systems With One Fast Direction

   Jardón-Kojakhmetov, H., Scherpen, Jacquelien M. A.

   IEEE Control Systems Letters (2018) · DOI
7. Model Order Reduction and Composite Control for a Class of Slow-Fast Systems Around a Non-Hyperbolic Point

   Jardón-Kojakhmetov, Hildeberto, Scherpen, Jacquelien M. A.

   IEEE Control Systems Letters (2017) · DOI
6. Limit Sets within Curves Where Trajectories Converge To

   Ramazi, Pouria, Jardón-Kojakhmetov, Hildeberto, Cao, Ming

   Applied Mathematics Letters (2017) · DOI
5. Vibrational Stabilization by Reshaping Arnold Tongues: A Numerical Approach

   Collado, Joaquin, Jardón-Kojakhmetov, Hildeberto

   Applied Mathematics (2016) · DOI
4. Analysis of a Slow--Fast System near a Cusp Singularity

   Jardón-Kojakhmetov, H., Broer, Henk W., Roussarie, R.

   Journal of Differential Equations (2016) · DOI
3. Formal normal form of \$ \textbraceleft A\textbraceright\_\textbraceleft k\textbraceright\$ slow--fast systems

   Jardón-Kojakhmetov, Hildeberto

   Comptes Rendus. Mathématique (2015) · DOI
2. Bifurcations of a Non-Gravitational Interaction Problem

   Liu, Xia, Jardón-Kojakhmetov, H.

   Applied Mathematics and Computation (2015) · DOI
1. Polynomial Normal Forms of Constrained Differential Equations with Three Parameters

   Jardón-Kojakhmetov, H., Broer, Henk W.

   Journal of Differential Equations (2014) · DOI

Conference papers

7. On Tensor-based Polynomial Hamiltonian Systems

   Cui, Shaoxuan, Zhang, Guofeng, Jardón-Kojakhmetov, Hildeberto, Cao, Ming

   2025 IEEE 64th Conference on Decision and Control (CDC) (2025) · DOI
6. Species Coexistence and Extinction Resulting from Higher-Order Lotka-Volterra Two-Faction Competition

   Cui, Shaoxuan, Zhao, Qi, Jardon-Kojakhmetov, Hildeberto, Cao, Ming

   2023 62nd IEEE Conference on Decision and Control (CDC) (2023) · DOI
5. A Topological Perspective on Singular Canards for Critical Sets with Transverse Intersections

   Bonetto, Riccardo, Jardón-Kojakhmetov, Hildeberto

   Topics in Multiple Time Scale Dynamics (2022)
4. A Survey on the Blow-up Method for Fast-Slow Systems: IV MeetingReunión de Matemáticos Mexicanos En El Mundo

   Jardon Kojakhmetov, Hildeberto, Kuehn, Christian

   Mexican Mathematicians in the World (2021) · DOI
3. Nonlinear Adaptive Stabilization of a Class of Planar Slow-Fast Systems at a Non-Hyperbolic Point

   Jardón-Kojakhmetov, H., Scherpen, Jacquelien M.A., del Puerto-Flores, D.

   2017 American Control Conference (ACC) (2017) · DOI
2. Stabilization of a Planar Slow-Fast System at a Non-Hyperbolic Point: 22nd International Symposium on the Mathematical Theory of Networks and Systems

   Jardón Kojakhmetov, H., Scherpen, Jacquelien M.A.

   Proceedings of the 22nd International Symposium on the Mathematical Theory of Networks and Systems (2016)
1. Model Reduction of a Flexible-Joint Robot: A Port-Hamiltonian Approach

   Jardón-Kojakhmetov, H., Muñoz-Arias, M., Scherpen, Jacquelien M. A.

   IFAC-PapersOnLine (2016) · DOI

Preprints

6. Oscillations in a Slow-Fast Paleoclimate Model for Glacial Cycles

   García-Rivera, Marco Polo, Álvarez-Ramírez, Martha, Jardón-Kojakhmetov, Hildeberto

   arXiv (2025) · DOI · arXiv · PDF
5. Higher-Order Laplacian Dynamics on Hypergraphs with Cooperative and Antagonistic Interactions

   Cui, Shaoxuan, Zhang, Chencheng, Jiang, Bin, Kojakhmetov, Hildeberto Jardón, Cao, Ming

   arXiv (2025) · DOI · arXiv · PDF
4. Strategic Control for a Boltzmann like Decision-Making Model

   Venegas-Pineda, Luis Guillermo, Jardón-Kojakhmetov, Hildeberto, Engel, Maximilian, Heitzig, Jobst, Eser, Muhittin Cenk, Cao, Ming

   arXiv (2024) · DOI · arXiv · PDF
3. On the Eigenvalues of Graphs with Mixed Algebraic Structure

   Bonetto, Riccardo, Kojakhmetov, Hildeberto Jardón

   arXiv (2024) · DOI · arXiv · PDF
2. Networks of Pendula with Diffusive Interactions

   Bonetto, Riccardo, Jardón-Kojakhmetov, Hildeberto, Kuehn, Christian

   arXiv (2024) · DOI · arXiv · PDF
1. On Network Dynamical Systems with a Nilpotent Singularity

   Jardón-Kojakhmetov, Hildeberto, Kuehn, Christian

   arXiv (2023) · DOI · arXiv · PDF

Books and edited volumes

2. Topics in Multiple Time Scale Dynamics

   Engel, Maximilian, Jard¢n-Kojakhmetov, Hildeberto, Soresina, Cinzia

   American Mathematical Society (2024)
1. Classification of Constrained Differential Equations Embedded in the Theory of Slow Fast Systems: Ak Singularities and Geometric Desingularization

   Jardón Kojakhmetov, Hildeberto

   University of Groningen (2015)