5 citations · 17 across the 14 of their papers we have counts for
15 papers
Singular bifurcations in a modified Leslie-Gower model
Roberto Albarran García, Martha Alvarez-Ramírez, Hildeberto Jardón-Kojakhmetov
We study a predator-prey system with a generalist Leslie-Gower predator, a functional Holling type II response, and a weak Allee effect on the prey. The prey's population often gro…
Co-evolutionary control of a class of coupled mixed-feedback systems
Luis Guillermo Venegas-Pineda, Hildeberto Jardón-Kojakhmetov, Ming Cao
Oscillatory behavior is ubiquitous in many natural and engineered systems, often emerging through self-regulating mechanisms. In this paper, we address the challenge of stabilizing…
Networks of Pendula with Diffusive Interactions
Riccardo Bonetto, Hildeberto Jardón-Kojakhmetov, Christian Kuehn
We study a system of coupled pendula with diffusive interactions, which could depend both on positions and on momenta. The coupling structure is defined by an undirected network, w…
On the analysis of a higher-order Lotka-Volterra model: an application of S-tensors and the polynomial complementarity problem
Shaoxuan Cui, Qi Zhao, Guofeng Zhang +2
It is known that the effect of species' density on species' growth is non-additive in real ecological systems. This challenges the conventional Lotka-Volterra model, where the inte…
Strategic control for a Boltzmann like decision-making model
Luis Guillermo Venegas-Pineda, Hildeberto Jardón-Kojakhmetov, Maximilian Engel +3
We study a prototypical non-polynomial decision-making model for which agents in a population potentially alternate between two consumption strategies, one related to the exploitat…
Ergodicity in planar slow-fast systems through slow relation functions
Renato Huzak, Hildeberto Jardón-Kojakhmetov, Christian Kuehn
In this paper, we study ergodic properties of the slow relation function (or entry-exit function) in planar slow-fast systems. It is well known that zeros of the slow divergence in…
On Metzler positive systems on hypergraphs
Shaoxuan Cui, Guofeng Zhang, Hildeberto Jardón-Kojakhmetov +1
In graph-theoretical terms, an edge in a graph connects two vertices while a hyperedge of a hypergraph connects any more than one vertices. If the hypergraph's hyperedges further c…
On network dynamical systems with a nilpotent singularity
Hildeberto Jardón-Kojakhmetov, Christian Kuehn
Network dynamics is nowadays of extreme relevance to model and analyze complex systems. From a dynamical systems perspective, understanding the local behavior near equilibria is of…
General SIS diffusion process with indirect spreading pathways on a hypergraph
Shaoxuan Cui, Fangzhou Liu, Hildeberto Jardón-Kojakhmetov +1
While conventional graphs only characterize pairwise interactions, higher-order networks (hypergraph, simplicial complex) capture multi-body interactions, which is a potentially mo…
A topological perspective on singular canards for critical sets with transverse intersections
Riccardo Bonetto, Hildeberto Jardón-Kojakhmetov
This paper gives a new perspective on singular canards, which is topological in flavour. One key feature is that our construction does not rely on coordinates; consequently, the co…
Discrete-time Layered-network Epidemics Model with Time-varying Transition Rates and Multiple Resources
Shaoxuan Cui, Fangzhou Liu, Hildeberto Jardón-Kojakhmetov +1
This paper studies a discrete-time time-varying multi-layer networked SIWS (susceptible-infected-water-susceptible) model with multiple resources under both single-virus and compet…
The hyperbolic umbilic singularity in fast-slow systems
Hildeberto Jardón-Kojakhmetov, Christian Kuehn, Maximilian Steinert
Fast-slow systems with three slow variables and gradient structure in the fast variables have, generically, hyperbolic umbilic, elliptic umbilic or swallowtail singularities. In th…
Slow-Fast Torus Knots
Renato Huzak, Hildeberto Jardón-Kojakhmetov
The goal of this paper is to study global dynamics of -smooth slow-fast systems on the -torus of class using geometric singular perturbation theory and the…
Stabilization of slow-fast control systems: the non-hyperbolic case
Hildeberto Jardón-Kojakhmetov, Jacquelien M. A. Scherpen
In this paper we study the stabilization problem of a general class of slow-fast systems with one fast and arbitrarily many slow states. Moreover, the class of systems under study…
Formal normal form of Ak slow fast systems
Hildeberto Jardón-Kojakhmetov
An Ak slow fast system is a particular type of singularly perturbed ODE. The corresponding slow manifold is defined by the critical points of a universal unfolding of an Ak singula…