Search · four archives
Search · four archives
14 papers · ranked by Valyu relevance
Leonie Neuhäuser, Michael Scholkemper, Francesco Tudisco, Michael T. Schaub
'Michael T. Schaub'] Dynamical systems on hypergraphs can display a rich set of behaviors not observable for systems with pairwise interactions. Given a distributed dynamical system with a putative hypergraph structure, an interesting question is thus how much of this hypergraph structure is actually necessary to…
Léo P M Diaz, Michael P H Stumpf, Pier Luigi Martelli
Graphs offer flexible ways to represent many biological systems. They are a well-established tool, and graph-based modeling formalisms such as chemical reaction networks and Petri nets have become widely used frameworks to describe and model such systems. Here, vertices are often taken to represent genes or gene…
Guilherme Ferraz de Arruda, Giovanni Petri, Pablo Martin Rodriguez, Yamir Moreno
'Yamir Moreno'] Although ubiquitous, interactions in groups of individuals are not yet thoroughly studied. Frequently, single groups are modeled as critical-mass dynamics, which is a widespread concept used not only by academics but also by politicians and the media. However, less explored questions are how a…
Robin Delabays, Giulia De Pasquale, Florian Dörfler, Yuanzhao Zhang
A plethora of methods have been developed in the past two decades to infer the underlying network structure of an interconnected system from its collective dynamics. However, methods capable of inferring nonpairwise interactions are only starting to appear. Here, we develop an inference algorithm based on sparse…
Marco Mancastroppa, Iacopo Iacopini, Giovanni Petri, Alain Barrat
Going beyond networks, to include higher-order interactions of arbitrary sizes, is a major step to better describe complex systems. In the resulting hypergraph representation, tools to identify structures and central nodes are scarce. We consider the decomposition of a hypergraph in hyper-cores, subsets of nodes…
Yuanzhao Zhang, Maxime Lucas, Federico Battiston
Higher-order networks have emerged as a powerful framework to model complex systems and their collective behavior. Going beyond pairwise interactions, they encode structured relations among arbitrary numbers of units through representations such as simplicial complexes and hypergraphs. So far, the choice between…
Luca Gallo, Lucas Lacasa, Vito Latora, Federico Battiston
Many real-world complex systems are characterized by interactions in groups that change in time. Current temporal network approaches, however, are unable to describe group dynamics, as they are based on pairwise interactions only. Here, we use time-varying hypergraphs to describe such systems, and we introduce a…
Hong-Yu Chen, Xiu-Juan Ma, Fu-Xiang Ma, Hai-Bing Xiao + 5 more
The internal structure of hyperedges has become central to understanding collective dynamics in hypernetworks. This study investigates the impact of hyperedge overlap on network synchronization when hyperedge structures are explicitly considered. We propose a modified hyper-adjacency matrix that captures the internal…
Manuel Miranda, Gissell Estrada-Rodriguez, Ernesto Estrada, Ginestra Bianconi + 3 more
'Ginestra Bianconi' 'Rubén J. Sánchez-García' 'Anthony Baptista' 'Hanlin Sun'] Geometric realization of simplicial complexes makes them a unique representation of complex systems. The existence of local continuous spaces at the simplices level with global discrete connectivity between simplices makes the analysis of…
Amal S. Alali, Esra Öztürk Sözen, Cihat Abdioğlu, Shakir Ali + 1 more
'Elif Eryaşar'] Topological indices are numerical parameters that indicate the topology of graphs or hypergraphs. A hypergraph $H=(V(H),E(H))$ consists of a vertex set $V(H)$ and an edge set $E(H)$, where each edge $e\inE(H)$ is a subset of $V(H)$ with at least two elements. In this paper, our main aim is to introduce…
Khaled Benkouider, Toufik Bouden, Aceng Sambas, Badis Lekouaghet + 6 more
This work introduce a new high dimensional 10-D hyperchaotic system with high complexity and many of coexisting attractors. With the adjustment of its parameters and initial points, the novel system can generate periodic, quasi-periodic, chaotic, and hyperchaotic behaviours. For special values of parameters, we show…
Khaled Benkouider, Miroslav Mahdal, Sundarapandian Vaidyanathan, Esteban Tlelo-Cuautle + 4 more
This research work describes a new 4-D hyperchaotic system with high complexity. The proposed 4-D system is hyperchaotic as it has a bounded attractor set with two positive Lyapunov exponents. The large positive Lyapunov exponents of the new 4-D hyperchaotic system exhibit the high complexity of the proposed system. We…
A. O. Adelakun, Y. A. Odusote
In-depth analysis of a novel multiple scroll memristive-based hyperchaotic system with no equilibrium is provided in this work. We identify a family of more complicated $n\mathrm{th}$-order multiple scroll hidden attractors for a unique, enhanced 4-dimensional Sprott-A system. The system is particularly sensitive to…
Sean T. Vittadello, Léo Diaz, Yujing Liu, Adriana Zanca + 1 more
An adult human body is made up of some 30 to 40 trillion cells, all of which stem from a single fertilized egg cell. The process by which the right cells appear to arrive in their right numbers at the right time at the right place - development - is only understood in the roughest of outlines. This process does not…