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Pattern Formation on Networks: from Localised Activity to Turing Patterns
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Isolas of 2-Pulse Solutions in Homoclinic Snaking Scenarios
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Instability and dynamic pattern in cellular networks
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On a diffusive prey-predator model which exhibits patchiness
inferredcites →https://doi.org/10.1016/j.physd.2012.05.002openalex-snapshot
The Turing bifurcation in network systems: Collective patterns and single differentiated nodes
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Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells
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Boolean dynamics of networks with scale-free topology
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Formation of periodic and localized patterns in an oscillating granular layer
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Homoclinic snaking near the surface instability of a polarisable fluid
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Collective dynamics of ‘small-world’ networks
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Uncovering the overlapping community structure of complex networks in nature and society
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The theory of pattern formation on directed networks
inferredcites →https://doi.org/10.1038/nphys1651openalex-snapshot
Turing patterns in network-organized activator–inhibitor systems
inferredcites →https://doi.org/10.1038/srep03585openalex-snapshot
Dispersal-induced destabilization of metapopulations and oscillatory Turing patterns in ecological networks
inferredcites →https://doi.org/10.1038/srep10840openalex-snapshot
Pattern formation in multiplex networks
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Localized patterns in reaction-diffusion systems
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Spatially localized structures in dissipative systems: open problems
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Non-reversible perturbations of homoclinic snaking scenarios
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Networks: An Introduction
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Evidence of universality for the May-Wigner stability theorem for random networks with local dynamics
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Patterns and localized structures in population dynamics
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Robust emergent activity in dynamical networks
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Turing patterns in multiplex networks
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Homoclinic Snaking in a Semiconductor-Based Optical System
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Snakes and Ladders: Localized Solutions of Plane Couette Flow
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Autocatalytic Sets and the Growth of Complexity in an Evolutionary Model
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Epidemic Spreading in Scale-Free Networks
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Statistical physics of social dynamics
inferredcites →https://doi.org/10.1126/science.286.5439.509openalex-snapshot
Emergence of Scaling in Random Networks
inferredcites →https://doi.org/10.1137/070695800openalex-snapshot
Snaking of Multiple Homoclinic Orbits in Reversible Systems
inferredcites →https://doi.org/10.1137/110855429openalex-snapshot
Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit
inferredcites →https://doi.org/10.1137/130948495openalex-snapshot
Localized Patterns in Periodically Forced Systems
inferredcites →https://doi.org/10.1209/0295-5075/98/64004openalex-snapshot
Global feedback control of Turing patterns in network-organized activator-inhibitor systems
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inferred← citeshttps://doi.org/10.2139/ssrn.4667872openalex-extracted
Characterizing Turing Instability in Complex Networks Using Shannon Entropy
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