Titles link to the published version and links to the arXiv version.

name indicates a (co-)supervised PhD student

Pre-prints:

  1. Coevolutionary Control of a Neuromorphic Network through a Mixed-Feedback Architecture
    (with L. Venegas and M. Cao)
  2. On the Eigenvalues of Graphs with Mixed Algebraic Structure
    (with R. Bonetto)
  3. Networks of Pendula with Diffusive Interactions
    (with R. Bonetto and C. Kuehn)
  4. Strategic control for a Boltzmann like decision-making model
    (with L. Venegas-Pineda, M. Engel, J. Heitzig, M. Eser, and M. Cao)
  5. On the analysis of a higher-order Lotka-Volterra model: an application of S-tensors and the polynomial complementarity problem
    (with S. Cui, Q, Zhao, G. Zhang, and M. Cao)
  6. On Metzler positive systems on hypergraphs
    (with S. Cui, G. Zhang, and M. Cao)
  7. On network dynamical systems with a nilpotent singularity
    (with C. Kuehn)
  8. General SIS diffusion process with direct and indirect spreading on a hypergraph
    (with S. Cui, F. Liu, and M. Cao)
  9. Nonlinear Laplacian Dynamics: Symmetries, Perturbations, and Consensus
    (with R. Bonetto)

Journals:

  1. Ergodicity in planar slow-fast systems through slow relation functions
    (with R. Huzak and C. Kuehn)
    Accepted in SIAM Journal of Applied Dynamical Systems
  2. The hyperbolic umbilic singularity in fast-slow systems
    (with C. Kuehn and M. Steinert)
    Nonlinearity, 2024
  3. On discrete-time polynomial dynamical systems on hypergraphs
    (with S. Cui, G. Zhang, and M. Cao)
    IEEE L-CSS, 2024
  4. Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling
    (with C. Kuehn and I. Longo)
    SIAM Journal of Applied Dynamical Systems
  5. Discrete-time Layered-network Epidemics Model with Time-varying Transition Rates and Multiple Resources
    (with S. Cui, F. Liu, and M. Cao)
    Automatica, 2024
  6. Stable Chimera States: A Geometric Singular Perturbation Approach
    (with L. Venegas and M. Cao)
    Chaos, 2023
  7. Simulation-based Reconstructed Diffusion provides accurate values of mobility in confined spaces, unveiling the effect of aging in Escherichia coli
    (with L. Mantovanelli, D. S. Linnik, M. Punter, W. M. Smigiel, and B. Poolman)
    PLoS Comput Biol. 2023
  8. Slow-fast torus knots
    (with R. Huzak)
    Bull. Belgian Math. Soc., 2022.
  9. A geometric analysis of the SIRS epidemiological model on a homogeneous network
    (with C. Kuehn, A. Pugliese, and M. Sensi)
    Journal of Theoretical Biology, 2021.
  10. Controlling canard cycles
    (with C. Kuehn)
    Journal of Dynamical and Control Systems, 2021.
  11. A geometric analysis of the SIR, SIRS and SIRWS epidemiological models
    (with C. Kuehn, A. Pugliese and M. Sensi)
    Nonlinear Analysis: Real World Applications, 2021.
  12. Geometric analysis of Oscillations in the Frzilator model
    (with H. Tafgvafarad, P. Szmolyan and M. Cao)
    Journal of Mathematical Analysis and Applications, 2021.
  13. Extended and symmetric loss of stability for canards in planar fast-slow maps
    (with M. Engel)
    SIAM Journal on Applied Dynamical Systems, 2020.
  14. On Fast–Slow Consensus Networks with a Dynamic Weight
    (with C. Kuehn)
    Journal of Nonlinear Science, 2020.
  15. Stabilization of a class of slow-fast control systems at non-hyperbolic points 
    (with J. M. A. Scherpen, and D. del Puerto-Flores)
    Automatica, 2019.
  16. Improving the region of attraction of a non-hyperbolic point in slow-fast systems with one fast direction
    (with J. M. A. Scherpen)
    IEEE Control Systems Letters, 2018.
  17. Parameter-robustness analysis for a biochemical oscillator model describing the social-behavior transition phase of myxobacteria
    (with H. Tafgvafarad and M. Cao)
    Proceedings of the Royal Society A, 2018.
  18. Model order reduction and composite control for a class of slow-fast systems around a non-hyperbolic point
    (with J. M. A. Scherpen)
    IEEE Control Systems Letters, 2017.
  19. Limit sets within curves where trajectories converge to
    (with P. Ramazi and M. Cao)
    Applied Mathematics Letters, 2017.
  20. Vibrational Stabilization by Reshaping Arnold Tongues: A Numerical Approach
    (with J. Collado).
    Applied Mathematics, 2016.
  21. Analysis of a slow fast system near a cusp singularity
    (with H. W. Broer and R. Roussarie)
    Journal of Differential Equations, 2016.
  22. Formal normal form of Ak slow-fast systems 
    Comptes Rendus Mathematique, 2015.
  23. Bifurcations of a non-gravitational interaction problem
    (with X. Liu)
    Applied Mathematics and Computation, 2015.
  24. Polynomial normal forms of Constrained Differential Equations with three parameters
    (with H. W. Broer)
    Journal of Differential Equations, 2014.

Conference proceedings:

  1. Species Coexistence and Extinction Resulting from Higher-order Lotka-Volterra Two-Faction Competition
    (with S. Cui, Q. Zhao and M. Cao)
    62nd IEEE Conference on Decision and Control, 2023
  2. A topological perspective on singular canards for critical sets with transverse intersections
    (with R. Bonetto)
  3. A survey on the blow-up method for fast-slow systems ,
     (with C. Kuehn)
    Contemporary Mathematics, 2021, 775, pp. 115–160.
  4. Nonlinear adaptive stabilization of a class of planar slow-fast systems at a non-hyperbolic point
    (with J. M. A. Scherpen and D. del Puerto-Flores)
    American Control Conference 2017.
  5. Stabilization of a planar slow-fast system at a non-hyperbolic point
    (with J. M. A. Scherpen)
    Mathematical Theory of Networks and Systems 2016.
  6. Model order reduction of a flexible-joint robot: a port-Hamiltonian approach
     (with M. Munoz-Arias and J. M. A. Scherpen)
    IFAC Symposium on Nonlinear Control Systems 2016.
  7. Estabilización de Redes Complejas Fraccionarias de Sistemas de Lorenz y Sistemas de Chen
     (with R. Martínez-Martínez, J. A. León and G. Fernández-Anaya)
    Congreso de la Asociación de México de Control Automático, 2009.

Editorial work:

  1. Topics in Multiple Time Scale Dynamics
    Maximilian Engel, Hildeberto Jardón-Kojakhmetov, and Cinzia Soresina, Editors
    Contemporary Mathematics
    Volume: 806; 2024; 209 pp