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The physics of spreading processes in multilayer networks
Despite the success of traditional network analysis, standard networks provide a limited
representation of complex systems, which often include different types of relationships (or …
representation of complex systems, which often include different types of relationships (or …
Modern perspectives on near-equilibrium analysis of Turing systems
AL Krause, EA Gaffney… - … Transactions of the …, 2021 - royalsocietypublishing.org
In the nearly seven decades since the publication of Alan Turing's work on morphogenesis,
enormous progress has been made in understanding both the mathematical and biological …
enormous progress has been made in understanding both the mathematical and biological …
[ΒΙΒΛΙΟ][B] Multilayer networks: structure and function
G Bianconi - 2018 - books.google.com
Multilayer networks is a rising topic in Network Science which characterizes the structure
and the function of complex systems formed by several interacting networks. Multilayer …
and the function of complex systems formed by several interacting networks. Multilayer …
Dynamical systems on networks
MA Porter, JP Gleeson - Frontiers in Applied Dynamical Systems: Reviews …, 2016 - Springer
Traditionally, much of the study of networks has focused on structural features. Indeed,
mathematical subjects such as graph theory have a rich history of investigating network …
mathematical subjects such as graph theory have a rich history of investigating network …
Turing patterns in simplicial complexes
The spontaneous emergence of patterns in nature, such as stripes and spots, can be
mathematically explained by reaction-diffusion systems. These patterns are often referred as …
mathematically explained by reaction-diffusion systems. These patterns are often referred as …
Dynamical systems on hypergraphs
Networks are a widely used and efficient paradigm to model real-world systems where basic
units interact pairwise. Many body interactions are often at play, and cannot be modelled by …
units interact pairwise. Many body interactions are often at play, and cannot be modelled by …
Towards real-world complexity: an introduction to multiplex networks
Many real-world complex systems are best modeled by multiplex networks of interacting
network layers. The multiplex network study is one of the newest and hottest themes in the …
network layers. The multiplex network study is one of the newest and hottest themes in the …
Dynamics of diseases spreading on networks in the forms of reaction-diffusion systems
In the face of persistent threats posed by infectious diseases, despite remarkable medical
advancements, understanding and efficiently controlling their spatial spread through …
advancements, understanding and efficiently controlling their spatial spread through …
Pattern formation in multiplex networks
The advances in understanding complex networks have generated increasing interest in
dynamical processes occurring on them. Pattern formation in activator-inhibitor systems has …
dynamical processes occurring on them. Pattern formation in activator-inhibitor systems has …
Cross-diffusion-induced patterns in an SIR epidemic model on complex networks
Infectious diseases are a major threat to global health. Spatial patterns revealed by
epidemic models governed by reaction–diffusion systems can serve as a potential trend …
epidemic models governed by reaction–diffusion systems can serve as a potential trend …