Publications

A complete and up-to-date list is also on Google Scholar.

Journal articles Conference papers Preprints Books and book chapters PhD thesis

Journal articles

1. Linear Feedback Controller for Homogeneous Polynomial Systems
   Shaoxuan Cui, Qi Zhao, Guanlin Li, Hildeberto Jardón-Kojakhmetov, Ming Cao
   IEEE Control Systems Letters 10, 1687–1692 (2026) · PDF
2. Hopf–Bautin and Homoclinic Bifurcations in a Saltzman–Maasch Model with Cubic Feedback
   Marco Polo García Rivera, Martha Álvarez–Ramírez, Hildeberto Jardón-Kojakhmetov
   International Journal of Bifurcation and Chaos 36 (2026) · PDF
3. 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
   Communications in Nonlinear Science and Numerical Simulation 163, 110473 (2026) · PDF
4. Singular Basins in Multiscale Systems: Tunneling between Stable States
   Serhiy Yanchuk, Sebastian Wieczorek, Hildeberto Jardón-Kojakhmetov, Hassan Alkhayuon
   Physical Review Letters 137, 147202 (2026) · PDF
5. Singular Bifurcations in a Slow-Fast Modified Leslie-Gower Model
   Roberto Albarran-García, Martha Alvarez-Ramírez, Hildeberto Jardón-Kojakhmetov
   Results in Applied Mathematics 26, 100558 (2025) · PDF
6. On Metzler Positive Systems on Hypergraphs
   Shaoxuan Cui, Guofeng Zhang, Hildeberto Jardón-Kojakhmetov, Ming Cao
   IEEE Transactions on Control of Network Systems 12, 1980–1991 (2025) · PDF
7. Ergodicity in Planar Slow-Fast Systems through Slow Relation Functions
   Renato Huzak, Hildeberto Jardón-Kojakhmetov, Christian Kuehn
   SIAM Journal on Applied Dynamical Systems 24, 317–345 (2025) · PDF
8. 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 35, 033155 (2025) · PDF
9. Analysis of Higher-Order Lotka-Volterra Models: Application of S-tensors and the Polynomial Complementarity Problem
   Shaoxuan Cui, Qi Zhao, Guofeng Zhang, Hildeberto Jardón-Kojakhmetov, Ming Cao
   IEEE Transactions on Automatic Control 1–16 (2025) · PDF
10. An SIS Diffusion Process with Direct and Indirect Spreading on a Hypergraph
    Shaoxuan Cui, Fangzhou Liu, Lidan Liang, Hildeberto Jardón-Kojakhmetov, Ming Cao
    Automatica 177, 112319 (2025)
11. The Hyperbolic Umbilic Singularity in Fast-Slow Systems
    Hildeberto Jardón-Kojakhmetov, Christian Kuehn, Maximilian Steinert
    Nonlinearity 37, 095036 (2024) · PDF
12. 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 23, 1540–1578 (2024) · PDF
13. On Discrete-Time Polynomial Dynamical Systems on Hypergraphs
    Shaoxuan Cui, Guofeng Zhang, Hildeberto Jardón-Kojakhmetov, Ming Cao
    IEEE Control Systems Letters 8, 1078–1083 (2024) · PDF
14. Nonlinear Diffusion on Networks: Perturbations and Consensus Dynamics
    Riccardo Bonetto, Hildeberto Jardón-Kojakhmetov
    Networks and Heterogeneous Media 19, 1344–1380 (2024) · PDF
15. Discrete-Time Layered-Network Epidemics Model with Time-Varying Transition Rates and Multiple Resources
    Shaoxuan Cui, Fangzhou Liu, Hildeberto Jardón-Kojakhmetov, Ming Cao
    Automatica 159, 111303 (2024) · PDF
16. Stable Chimera States: A Geometric Singular Perturbation Approach
    Luis Guillermo Venegas-Pineda, Hildeberto Jardón-Kojakhmetov, Ming Cao
    Chaos: An Interdisciplinary Journal of Nonlinear Science 33, 113123 (2023) · PDF
17. 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 19, e1011093 (2023) · PDF
18. Slow-Fast Torus Knots
    Hildeberto Jardón-Kojakhmetov, Renato Huzak
    Bulletin of the Belgian Mathematical Society - Simon Stevin 29, 371–388 (2022) · PDF
19. Controlling Canard Cycles
    Hildeberto Jardón-Kojakhmetov, Christian Kuehn
    Journal of Dynamical and Control Systems 28, 517–544 (2022) · PDF
20. Geometric Analysis of Oscillations in the Frzilator Model
    Hadi Taghvafard, Hildeberto Jardón-Kojakhmetov, Peter Szmolyan, Ming Cao
    Journal of Mathematical Analysis and Applications 495, 124725 (2021) · PDF
21. 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 83, 37 (2021) · PDF
22. 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 58, 103220 (2021) · PDF
23. On Fast–Slow Consensus Networks with a Dynamic Weight
    Hildeberto Jardón-Kojakhmetov, Christian Kuehn
    Journal of Nonlinear Science 30, 2737–2786 (2020) · PDF
24. Extended and Symmetric Loss of Stability for Canards in Planar Fast-Slow Maps
    Maximilian Engel, Hildeberto Jardón-Kojakhmetov
    SIAM Journal on Applied Dynamical Systems 19, 2530–2566 (2020) · PDF
25. 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 99, 13–21 (2019)
26. 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 474, 20170499 (2018)
27. Improving the Region of Attraction of a Non-Hyperbolic Point in Slow-Fast Systems With One Fast Direction
    Hildeberto Jardón-Kojakhmetov, Jacquelien M. A. Scherpen
    IEEE Control Systems Letters 2, 296–301 (2018)
28. 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 1, 68–73 (2017)
29. Limit Sets within Curves Where Trajectories Converge To
    Pouria Ramazi, Hildeberto Jardón-Kojakhmetov, Ming Cao
    Applied Mathematics Letters 68, 94–100 (2017)
30. Vibrational Stabilization by Reshaping Arnold Tongues: A Numerical Approach
    Joaquin Collado, Hildeberto Jardón-Kojakhmetov
    Applied Mathematics 7, 2005–2020 (2016) · PDF
31. Analysis of a Slow–Fast System near a Cusp Singularity
    Hildeberto Jardón-Kojakhmetov, Henk W. Broer, R. Roussarie
    Journal of Differential Equations 260, 3785–3843 (2016) · PDF
32. Formal normal form of A_k slow–fast systems
    Hildeberto Jardón-Kojakhmetov
    Comptes Rendus. Mathématique 353, 795–800 (2015) · PDF
33. Bifurcations of a Non-Gravitational Interaction Problem
    Xia Liu, Hildeberto Jardón-Kojakhmetov
    Applied Mathematics and Computation 251, 253–257 (2015)
34. Polynomial Normal Forms of Constrained Differential Equations with Three Parameters
    Hildeberto Jardón-Kojakhmetov, Henk W. Broer
    Journal of Differential Equations 257, 1012–1055 (2014) · PDF

Conference papers

1. On Tensor-based Polynomial Hamiltonian Systems
   Shaoxuan Cui, Guofeng Zhang, Hildeberto Jardón-Kojakhmetov, Ming Cao
   2025 IEEE 64th Conference on Decision and Control (CDC) 7331–7336 (2025) · PDF
2. Species Coexistence and Extinction Resulting from Higher-Order Lotka-Volterra Two-Faction Competition
   Shaoxuan Cui, Qi Zhao, Hildeberto Jardón-Kojakhmetov, Ming Cao
   2023 62nd IEEE Conference on Decision and Control (CDC) 467–472 (2023)
3. Nonlinear Adaptive Stabilization of a Class of Planar Slow-Fast Systems at a Non-Hyperbolic Point
   Hildeberto Jardón-Kojakhmetov, Jacquelien M.A. Scherpen, D. del Puerto-Flores
   2017 American Control Conference (ACC) 2441–2446 (2017)
4. Stabilization of a Planar Slow-Fast System at a Non-Hyperbolic Point
   Hildeberto Jardón-Kojakhmetov, Jacquelien M.A. Scherpen
   Proceedings of the 22nd International Symposium on the Mathematical Theory of Networks and Systems 602–607 (2016)
5. Model Reduction of a Flexible-Joint Robot: A Port-Hamiltonian Approach
   Hildeberto Jardón-Kojakhmetov, M. Muñoz-Arias, Jacquelien M. A. Scherpen
   IFAC-PapersOnLine 49, 832–837 (2016)

Preprints

1. Markov Chains and Random Walks with Memory on Hypergraphs: A Tensor-Based Approach
   Shaoxuan Cui, Lingfei Wang, Hildeberto Jardón-Kojakhmetov, Karl Henrik Johansson, Ming Cao
   arXiv:2604.06895 (2026) · PDF
2. Slow-fast dynamics in a planar parasite–host model with an extinction singularity
   Jacopo Borsotti, Hildeberto Jardón-Kojakhmetov, Mattia Sensi
   arXiv:2602.19257 (2026) · PDF
3. Higher-Order Laplacian Dynamics on Hypergraphs with Cooperative and Antagonistic Interactions
   Shaoxuan Cui, Chencheng Zhang, Bin Jiang, Hildeberto Jardón-Kojakhmetov, Ming Cao
   arXiv:2502.08276 (2025) · PDF
4. On the Eigenvalues of Graphs with Mixed Algebraic Structure
   Riccardo Bonetto, Hildeberto Jardón-Kojakhmetov
   arXiv:2408.00487 (2024) · PDF
5. Networks of Pendula with Diffusive Interactions
   Riccardo Bonetto, Hildeberto Jardón-Kojakhmetov, Christian Kuehn
   arXiv:2408.02352 (2024) · PDF
6. On Network Dynamical Systems with a Nilpotent Singularity
   Hildeberto Jardón-Kojakhmetov, Christian Kuehn
   arXiv:2310.08947 (2023) · PDF

Books and book chapters

1. Topics in Multiple Time Scale Dynamics
   Maximilian Engel, Hildeberto Jardón-Kojakhmetov, Cinzia Soresina
   American Mathematical Society (2024)
2. A Topological Perspective on Singular Canards for Critical Sets with Transverse Intersections
   Riccardo Bonetto, Hildeberto Jardón-Kojakhmetov
   Topics in Multiple Time Scale Dynamics (2022) · PDF
3. A Survey on the Blow-up Method for Fast-Slow Systems
   Hildeberto Jardón-Kojakhmetov, Christian Kuehn
   Mexican Mathematicians in the World 775, 115–160 (2021) · PDF

PhD thesis

1. Classification of constrained differential equations embedded in the theory of slow–fast systems: A_k singularities and geometric desingularization
   Hildeberto Jardón-Kojakhmetov
   PhD thesis, University of Groningen (2015)