Publications

Journal articles

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

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

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

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

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

    Renato Huzak, Hildeberto Jardón-Kojakhmetov, Christian Kuehn

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

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

    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

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

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

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

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

    Hildeberto Jardón-Kojakhmetov, Christian Kuehn, Maximilian Steinert

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

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

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

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

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

    Riccardo Bonetto, Hildeberto Jardón Kojakhmetov

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

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

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

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

    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

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

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

    Hildeberto Jardón-Kojakhmetov, Renato Huzak

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

    Hildeberto Jardón-Kojakhmetov, Christian Kuehn

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

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

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

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

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

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

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

    Hildeberto Jardón-Kojakhmetov, Christian Kuehn

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

    Maximilian Engel, Hildeberto Jardón-Kojakhmetov

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

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

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

   Hadi Taghvafard, Hildeberto Jardón-Kojakhmetov, Ming Cao

   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

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

   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

   Hildeberto Jardón-Kojakhmetov, Jacquelien M. A. Scherpen

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

   Pouria Ramazi, Hildeberto Jardón-Kojakhmetov, Ming Cao

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

   Joaquin Collado, Hildeberto Jardón-Kojakhmetov

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

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

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

   Hildeberto Jardón-Kojakhmetov

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

   Xia Liu, H. Jardón-Kojakhmetov

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

   H. Jardón-Kojakhmetov, Henk W. Broer

   Journal of Differential Equations (2014) · DOI

Conference papers

7. On Tensor-based Polynomial Hamiltonian Systems

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

   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

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

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

   Riccardo Bonetto, Hildeberto Jardón-Kojakhmetov

   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

   Hildeberto Jardon Kojakhmetov, Christian Kuehn

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

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

   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

   H. Jardón Kojakhmetov, Jacquelien M.A. Scherpen

   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

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

   IFAC-PapersOnLine (2016) · DOI

Preprints

8. Slow-fast dynamics in a planar parasite--host model with an extinction singularity

   Jacopo Borsotti, Hildeberto Jardón-Kojakhmetov, Mattia Sensi

   arXiv (2026) · DOI
7. Singular basins in multiscale systems: tunneling between stable states

   Serhiy Yanchuk, Sebastian Wieczorek, Hildeberto Jardón-Kojakhmetov, Hassan Alkhayuon

   arXiv (2026) · DOI
6. Oscillations in a Slow-Fast Paleoclimate Model for Glacial Cycles

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

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

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

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

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

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

   Riccardo Bonetto, Hildeberto Jardón Kojakhmetov

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

   Riccardo Bonetto, Hildeberto Jardón-Kojakhmetov, Christian Kuehn

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

   Hildeberto Jardón-Kojakhmetov, Christian Kuehn

   arXiv (2023) · DOI · arXiv · PDF

Books and edited volumes

2. Topics in Multiple Time Scale Dynamics

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

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

   Hildeberto Jardón Kojakhmetov

   University of Groningen (2015)