# Publications

#### Pre-prints:

1. Nonlinear Laplacian Dynamics: Symmetries, Perturbations, and Consensus [arXiv]
(with R. Bonetto)
2. Discrete-time Layered-network Epidemics Model with Time-varying Transition Rates and Multiple Resources [arXiv]
(with S. Cui, F. Liu, and M. Cao)
3. The hyperbolic umbilic singularity in fast-slow systems [arXiv]
(with C. Kuehn and M. Steinert)

#### Journals:

1. Slow-fast torus knots [arXiv]
(with R. Huzak)
Accepted / to appear in the Bull. Belgian Math. Soc., 2022.
2. 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.
3. Controlling canard cycles [arXiv]
(with C. Kuehn)
Journal of Dynamical and Control Systems, 2021.
4. 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.
5. Geometric analysis of Oscillations in the Frzilator model [arXiv]
(with H. Tafgvafarad, P. Szmolyan and M. Cao)
Journal of Mathematical Analysis and Applications, 2021.
6. Extended and symmetric loss of stability for canards in planar fast-slow maps [arXiv]
(with M. Engel)
SIAM Journal on Applied Dynamical Systems, 2020.
7. On Fast–Slow Consensus Networks with a Dynamic Weight [arXiv]
(with C. Kuehn)
Journal of Nonlinear Science, 2020.
8. Stabilization of a class of slow-fast control systems at non-hyperbolic points  [Preprint]
(with J. M. A. Scherpen, and D. del Puerto-Flores)
Automatica, 2019.
9. Improving the region of attraction of a non-hyperbolic point in slow-fast systems with one fast direction [Preprint]
(with J. M. A. Scherpen)
IEEE Control Systems Letters, 2018.
10. 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.
11. Model order reduction and composite control for a class of slow-fast systems around a non-hyperbolic point [Preprint]
(with J. M. A. Scherpen)
IEEE Control Systems Letters, 2017.
12. Limit sets within curves where trajectories converge to
(with P. Ramazi and M. Cao)
Applied Mathematics Letters, 2017.
13. Vibrational Stabilization by Reshaping Arnold Tongues: A Numerical Approach
Applied Mathematics, 2016.
14. Analysis of a slow fast system near a cusp singularity [arXiv]
(with H. W. Broer and R. Roussarie)
Journal of Differential Equations, 2016.
15. Formal normal form of Ak slow-fast systems [arXiv]
Comptes Rendus Mathematique, 2015.
16. Bifurcations of a non-gravitational interaction problem
(with X. Liu)
Applied Mathematics and Computation, 2015.
17. Polynomial normal forms of Constrained Differential Equations with three parameters [arXiv]
(with H. W. Broer)
Journal of Differential Equations, 2014.

#### Conference proceedings:

1. A survey on the blow-up method for fast-slow systems (with C. Kuehn)
Contemporary Mathematics, 2021, 775, pp. 115–160.
2. 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.
3. Stabilization of a planar slow-fast system at a non-hyperbolic point
(with J. M. A. Scherpen)
Mathematical Theory of Networks and Systems 2016.
4. 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.
5. 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.