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• Model Order Reduction and Composite Control for a Class of Slow-Fast Systems Around a Non-Hyperbolic Point

  Jardón Kojakhmetov, H. & Scherpen, J. M. A., 2017, Proceedings of the 56th IEEE Conference on Decision and Control.

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

• Analysis of a biochemical oscillator model describing the developmental stage of myxobacteria

  Taghvafard, H., Jardón Kojakhmetov, H. & Cao, M., 2017, p. 157. 1 p.

  Research output: Contribution to conference › Abstract › Academic

• Slow-fast port-Hamiltonian mechanical systems

  Jardón Kojakhmetov, H., Muñoz Arias, M. & Scherpen, J. M. A., 2017, p. 154. 1 p.

  Research output: Contribution to conference › Abstract › Academic

• Formal normal form of Ak slow–fast systems

  Jardón-kojakhmetov, H., 1-Sept-2015, In: Comptes Rendus Mathematique. 353, 9, p. 795-800 6 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  4 Citations (Scopus)

  33 Downloads (Pure)

• Vibrational Stabilization by Reshaping Arnold Tongues: A Numerical Approach

  Collado, J. & Jardón Kojakhmetov, H., 28-Oct-2016, In: Applied Mathematics. 7, 16, 16 p., 71597.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  277 Downloads (Pure)

• Stabilization of a planar slow-fast system at a non-hyperbolic point

  Jardón Kojakhmetov, H. & Scherpen, J. M. A., Jul-2016, Proceedings of the 22nd International Symposium on the Mathematical Theory of Networks and Systems. University of Minnesota Press, p. 602-607 6 p.

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  File
  263 Downloads (Pure)

• Polynomial normal forms of constrained differential equations with three parameters

  Jardon-Kojakhmetov, H. & Broer, H. W., 15-Aug-2014, In: Journal of Differential Equations. 257, 4, p. 1012-1055 44 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  6 Citations (Scopus)

  128 Downloads (Pure)

• The hyperbolic umbilic singularity in fast-slow systems

  Kojakhmetov, H. J., Kuehn, C. & Steinert, M., 3-Feb-2022, (Submitted) arXiv, 56 p.

  Research output: Working paper › Preprint › Academic
  64 Downloads (Pure)

• Model order reduction and composite control for a class of slow-fast systems around a non-hyperbolic point

  Jardón Kojakhmetov, H. & Scherpen, J. M. A., Jul-2017, In: IEEE Control Systems Letters. 1, 1, p. 68-73

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  12 Citations (Scopus)

  443 Downloads (Pure)

• Control of a flexible-joint manipulator with only position measurements: a port-Hamiltonian approach

  Jardón Kojakhmetov, H., Muñoz Arias, M. & Scherpen, J. M. A., 22-Mar-2016, p. 45. 1 p.

  Research output: Contribution to conference › Abstract › Academic

• Co-evolutionary control of a class of coupled mixed-feedback systems

  Venegas-Pineda, L. G., Jardón-Kojakhmetov, H. & Cao, M., 1-Mar-2025, In: Chaos. 35, 3, 15 p., 033155.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File

• Singular bifurcations in a slow-fast modified Leslie-Gower model

  Albarran-García, R., Alvarez-Ramírez, M. & Jardón-Kojakhmetov, H., May-2025, In: Results in Applied Mathematics. 26, 29 p., 100558.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File

• Stabilization of a class of slow-fast control systems at non-hyperbolic points

  Jardon-Kojakhmetov, H., Scherpen, J. M. A. & del Puerto-Flores, D., Jan-2019, In: Automatica. 99, p. 13-21 9 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  12 Citations (Scopus)

  108 Downloads (Pure)

• Nonlinear Adaptive Stabilization of a Class of Planar Slow-Fast Systems at a Non-Hyperbolic Point

  Jardón Kojakhmetov, H., Scherpen, J. M. A. & del Puerto-Flores, D., 3-Jul-2017, Proceedings of the American Control Conference 2017. IEEEXplore, p. 2441-2446

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  Open Access

  File
  3 Citations (Scopus)

  97 Downloads (Pure)

• Ergodicity in Planar Slow-Fast Systems Through Slow Relation Functions

  Huzak, R., Jardón-Kojakhmetov, H. & Kuehn, C., Mar-2025, In: SIAM Journal on Applied Dynamical Systems. 24, 1, p. 317-345 29 p.

  Research output: Contribution to journal › Article › Academic › peer-review

• Slow-fast torus knots

  Huzak, R. & Jardón-Kojakhmetov, H., Dec-2022, In: Bulletin of the Belgian Mathematical Society - Simon Stevin. 29, 3, p. 371-388 18 p.

  Research output: Contribution to journal › Article › Academic › peer-review

• Persistent Synchronization of Heterogeneous Networks with Time-Dependent Linear Diffusive Coupling

  Jardon-Kojakhmetov, H., Kuehn, C. & Longo, I. P., 2024, In: SIAM Journal on Applied Dynamical Systems. 23, 2, p. 1540-1578 39 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  44 Downloads (Pure)

• Species Coexistence and Extinction Resulting from Higher-Order Lokta-Volterra Two-Faction Competition

  Cui, S., Qi, Z., Jardon Kojakhmetov, H. & Cao, M., 19-Jan-2024, Proceedings of the 62nd IEEE Conference on Decision and Control (CDC2023). IEEE, p. 467-472 6 p.

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  Open Access

  File
  2 Citations (Scopus)

  63 Downloads (Pure)

• Model Reduction of a Flexible-Joint Robot: A Port-Hamitonian Approach

  Jardón Kojakhmetov, H., Muñoz Arias, M. & Scherpen, J. M. A., 2016, IFAC-PapersOnLine, 2016. IFAC, p. 832-837 6 p. (IFAC - Papers OnLine; vol. 49, no. 18).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  Open Access

  File
  7 Citations (Scopus)

  247 Downloads (Pure)

• Geometric analysis of oscillations in the Frzilator model

  Taghvafard, H., Jardon Kojakhmetov, H., Szmolyan, P. & Cao, M., 1-Mar-2021, In: Journal of Mathematical Analysis and Applications. 495, 1, 124725.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  1 Citation (Scopus)

  98 Downloads (Pure)

• The hyperbolic umbilic singularity in fast-slow systems

  Jardón-Kojakhmetov, H., Kuehn, C. & Steinert, M., 2-Sept-2024, In: Nonlinearity. 37, 9, 64 p., 095036.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  32 Downloads (Pure)

• Bifurcations of a non-gravitational interaction problem

  Liu, X. & Jardon-Kojakhmetov, H., 15-Jan-2015, In: Applied Mathematics and Computation. 251, p. 253-257 5 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  1 Citation (Scopus)

  44 Downloads (Pure)

• Stabilization of planar slow-fast systems at non-hyperbolic points

  Jardón Kojakhmetov, H. & Scherpen, J. M. A., 22-Mar-2016, 35th Benelux Meeting on Systems and Control March 22 - 24, 2016 Soesterberg, The Netherlands: book of abstracts. Carloni, R., Jeltsema, D. & Lazar, M. (eds.). Enschede: University of Twente, p. 25 1 p.

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

  Open Access

  File
  86 Downloads (Pure)

• A geometric analysis of the SIRS epidemiological model on a homogeneous network

  Jardon Kojakhmetov, H., Kuehn, C., Pugliese, A. & Sensi, M., Oct-2021, In: Journal of Mathematical Biology. 83, 38 p., 37.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  20 Citations (Scopus)

  90 Downloads (Pure)

• Analysis of a slow-fast system near a cusp singularity

  Jardon-Kojakhmetov, H., Broer, H. W. & Roussarie, R., 15-Feb-2016, In: Journal of Differential Equations. 260, 4, p. 3785-3843 59 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  12 Citations (Scopus)

  57 Downloads (Pure)

• Limit sets within curves where trajectories converge to

  Ramazi, P., Jardón Kojakhmetov, H. & Cao, M., Jun-2017, In: Applied Mathematics Letters. 68, p. 94-100 7 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  5 Citations (Scopus)

  81 Downloads (Pure)

• Improving the Region of Attraction of a Non-Hyperbolic Point in Slow-Fast Systems With One Fast Direction

  Jardón Kojakhmetov, H. & Scherpen, J. M. A., 2-Apr-2018, In: IEEE Control Systems Letters. 2, 2, p. 296-301 6 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  1 Citation (Scopus)

  286 Downloads (Pure)

• Nonlinear diffusion on networks: Perturbations and consensus dynamics

  Bonetto, R. & Kojakhmetov, H. J., 2024, In: Networks and Heterogeneous Media. 19, 3, p. 1344-1380 37 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  9 Downloads (Pure)

• Controlling Canard Cycles

  Jardón-Kojakhmetov, H. & Kuehn, C., 2022, In: Journal of Dynamical and Control Systems. 28, p. 517–544 28 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  2 Citations (Scopus)

  83 Downloads (Pure)

• A topological perspective on singular canards for critical sets with transverse intersections

  Bonetto, R. & Jardón-Kojakhmetov, H., 2024, Topics in Multiple Time Scale Dynamics - Workshop on Topics in Multiple Time Scale Dynamics, 2022. Engel, M., Jardón-Kojakhmetov, H. & Soresina, C. (eds.). American Mathematical Society, Vol. 806. p. 1-14 14 p. (Contemporary Mathematics; vol. 806).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

• A geometric analysis of the SIR, SIRS and SIRWS epidemiological models

  Jardon Kojakhmetov, H., Kuehn, C., Pugliese, A. & Sensi, M., Apr-2021, In: Nonlinear Analysis: Real World Applications. 58, 103220.

  Research output: Contribution to journal › Article › Academic › peer-review
  45 Citations (Scopus)

  8 Downloads (Pure)

• On Fast–Slow Consensus Networks with a Dynamic Weight

  Jardon Kojakhmetov, H. & Kuehn, C., 1-Dec-2020, In: Journal of nonlinear science. 30, 6, p. 2737-2786 50 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  9 Citations (Scopus)

  121 Downloads (Pure)

• Extended and Symmetric Loss of Stability for Canards in Planar Fast-Slow Maps

  Engel, M. & Jardon Kojakhmetov, H., 2020, In: SIAM Journal on Applied Dynamical Systems. 19, 4, p. 2530–2566 37 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  7 Citations (Scopus)

  118 Downloads (Pure)

• Improving the Region of Attraction of a Non-Hyperbolic Point in Slow-Fast Systems with One Fast Direction

  Jardón Kojakhmetov, H. & Scherpen, J. M. A., Apr-2018, In: IEEE Control Systems Letters. 2, 2, p. 403-408 7 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  1 Downloads (Pure)

• Nonlinear Laplacian Dynamics: Symmetries, Perturbations, and Consensus

  Bonetto, R. & Kojakhmetov, H. J., 9-Jun-2022, (Submitted) 45 p.

  Research output: Working paper › Preprint › Academic

  File
  64 Downloads (Pure)

• Stable chimera states: A geometric singular perturbation approach

  Venegas-Pineda, L. G., Jardón-Kojakhmetov, H. & Cao, M., 1-Nov-2023, In: Chaos. 33, 11, 113123.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  35 Downloads (Pure)

• A survey on the blow-up method for fast-slow systems

  Jardon Kojakhmetov, H. & Kuehn, C., 2021, Mexican Mathematicians in the World. Galaz-Garcia, F., Gonzalez-Tokman, C. & Pardo Milan, J. C. (eds.). Oaxaca: AMS Press, Vol. 775. p. 115-160 45 p.

  Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review
  14 Citations (Scopus)

• On Discrete-Time Polynomial Dynamical Systems On Hypergraphs

  Cui, S., Zhang, G., Jardon-Kojakhmetov, H. & Cao, M., 1-Jul-2024, In: IEEE Control Systems Letters. 8, p. 1078-1083 6 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  30 Downloads (Pure)

• Discrete-time layered-network epidemics model with time-varying transition rates and multiple resources

  Cui, S., Liu, F., Jardón-Kojakhmetov, H. & Cao, M., Jan-2024, In: Automatica. 159, 8 p., 111303.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  10 Citations (Scopus)

  48 Downloads (Pure)

• Parameter-robustness analysis for a biochemical oscillator model describing the social-behavior transition phase of myxobacteria

  Taghvafard, H., Jardón Kojakhmetov, H. & Cao, M., 24-Jan-2018, In: Proceedings of the Royal Society A, Mathematical Physical and Engineering Sciences. 474, 2209, 17 p., 20170499.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  3 Citations (Scopus)

  202 Downloads (Pure)

• Simulation-based Reconstructed Diffusion unveils the effect of aging on protein diffusion in Escherichia coli

  Mantovanelli, L., Linnik, D. S., Punter, M., Kojakhmetov, H. J., Śmigiel, W. M. & Poolman, B., 11-Sept-2023, In: PLoS Computational Biology. 19, 9, 26 p., e1011093.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  5 Citations (Scopus)

  110 Downloads (Pure)

• Classification of constrained differential equations embedded in the theory of slow fast systems: A_k singularities and geometric desingularization

  Jardón Kojakhmetov, H., 2015, [Groningen]: University of Groningen. 164 p.

  Research output: Thesis › Thesis fully internal (DIV)

  Open Access

  File
  535 Downloads (Pure)