Pre-prints:
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Species Coexistence and Extinction Resulting from Higher-order Lokta-Volterra Two-Faction Competition
(with S. Cui, Q. Zhao and M. Cao)
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Stable Chimera States: A Geometric Singular Perturbation Approach
[arXiv]
(with L. Venegas and M. Cao)
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Nonlinear Laplacian Dynamics: Symmetries, Perturbations, and Consensus
[arXiv]
(with R. Bonetto)
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Discrete-time Layered-network Epidemics Model with Time-varying Transition Rates and Multiple Resources
[arXiv]
(with S. Cui, F. Liu, and M. Cao)
-
The hyperbolic umbilic singularity in fast-slow systems [arXiv]
(with C. Kuehn and M. Steinert)
Journals:
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Slow-fast torus knots [arXiv]
(with R. Huzak)
Accepted / to appear in the Bull. Belgian Math. Soc., 2022.
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A geometric analysis of the SIRS epidemiological model on a homogeneous network
[arXiv]
(with C. Kuehn, A. Pugliese, and M. Sensi)
Journal of Theoretical Biology, 2021.
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Controlling canard cycles
[arXiv]
(with C. Kuehn)
Journal of Dynamical and Control Systems, 2021.
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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.
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Geometric analysis of Oscillations in the Frzilator model [arXiv]
(with H. Tafgvafarad, P. Szmolyan and M. Cao)
Journal of Mathematical Analysis and Applications, 2021.
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Extended and symmetric loss of stability for canards in planar fast-slow maps [arXiv]
(with M. Engel)
SIAM Journal on Applied Dynamical Systems, 2020.
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On Fast–Slow Consensus Networks with a Dynamic Weight [arXiv]
(with C. Kuehn)
Journal of Nonlinear Science, 2020.
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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.
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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.
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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.
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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.
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Limit sets within curves where trajectories converge to
(with P. Ramazi and M. Cao)
Applied Mathematics Letters, 2017.
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Vibrational Stabilization by Reshaping Arnold Tongues: A Numerical Approach
(with J. Collado).
Applied Mathematics, 2016.
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Analysis of a slow fast system near a cusp singularity [arXiv]
(with H. W. Broer and R. Roussarie)
Journal of Differential Equations, 2016.
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Formal normal form of Ak slow-fast systems [arXiv]
Comptes Rendus Mathematique, 2015.
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Bifurcations of a non-gravitational interaction problem
(with X. Liu)
Applied Mathematics and Computation, 2015.
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Polynomial normal forms of Constrained Differential Equations with three parameters [arXiv]
(with H. W. Broer)
Journal of Differential Equations, 2014.
Conference proceedings:
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A survey on the blow-up method for fast-slow systems [arXiv],
(with C. Kuehn)
Contemporary Mathematics, 2021, 775, pp. 115–160.
- 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.
- Stabilization of a planar slow-fast system at a non-hyperbolic point
(with J. M. A. Scherpen)
Mathematical Theory of Networks and Systems 2016.
- 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.
- 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.