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pro vyhledávání: '"Torres, Joaquìn J."'
Triadic interactions are general mechanisms by which a node or neuron can regulate directly the link or synapse between other two neurons. The regulation takes place in a familiar way by either depressing or facilitating synaptic transmission. Such i
Externí odkaz:
http://arxiv.org/abs/2410.23476
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science 34(5), 053139 (2024)
The properties of complex networked systems arise from the interplay between the dynamics of their elements and the underlying topology. Thus, to understand their behaviour, it is crucial to convene as much information as possible about their topolog
Externí odkaz:
http://arxiv.org/abs/2401.17478
Publikováno v:
PNAS Nexus, Volume 3, Issue 7, July 2024, pgae270 (2024)
Triadic interactions are higher-order interactions that occur when a set of nodes affects the interaction between two other nodes. Examples of triadic interactions are present in the brain when glia modulate the synaptic signals among neuron pairs or
Externí odkaz:
http://arxiv.org/abs/2311.14877
Autor:
Menesse, Gustavo, Torres, Joaquin J.
The relation between EEG rhythms, brain functions, and behavioral correlates is well-established. Some mechanisms underlying rhythm generation are understood, enabling the replication of brain rhythms $in\; silico$. This allows to explore relations b
Externí odkaz:
http://arxiv.org/abs/2311.13977
Balanced neural networks -- in which excitatory and inhibitory inputs compensate each other on average -- give rise to a dynamical phase dominated by fluctuations called asynchronous state, crucial for brain functioning. However, structural disorder
Externí odkaz:
http://arxiv.org/abs/2310.02369
Autor:
Torres, Joaquín J., Manzano, Daniel
Publikováno v:
New J. Phys. 26 103018 (2024)
We present extensive simulations of a quantum version of the Hopfield Neural Network to explore its emergent behavior. The system is a network of $N$ qubits oscillating at a given $\Omega$ frequency and which are coupled via Lindblad jump operators b
Externí odkaz:
http://arxiv.org/abs/2305.02681
Publikováno v:
Communications Physics 5, 253 (2022)
Topological signals defined on nodes, links and higher dimensional simplices define the dynamical state of a network or of a simplicial complex. As such, topological signals are attracting increasing attention in network theory, dynamical systems, si
Externí odkaz:
http://arxiv.org/abs/2107.05107
Publikováno v:
In: Battiston, F., Petri, G. (eds) Higher-Order Systems. Understanding Complex Systems. Springer, Cham (2022)
Simplicial synchronization reveals the role that topology and geometry have in determining the dynamical properties of simplicial complexes. Simplicial network geometry and topology are naturally encoded in the spectral properties of the graph Laplac
Externí odkaz:
http://arxiv.org/abs/2105.00943
We here study a network of synaptic relations mingling excitatory and inhibitory neuron nodes that displays oscillations quite similar to electroencephalogram (EEG) brain waves, and identify abrupt variations brought about by swift synaptic mediation
Externí odkaz:
http://arxiv.org/abs/2102.07036
Publikováno v:
Communications Physics 4, 120 (2021)
Simplicial complexes capture the underlying network topology and geometry of complex systems ranging from the brain to social networks. Here we show that algebraic topology is a fundamental tool to capture the higher-order dynamics of simplicial comp
Externí odkaz:
http://arxiv.org/abs/2011.00897