2 citations · 2 across the 2 of their papers we have counts for
9 papers
Emergent Spatiotemporal Dynamics in Large-Scale Brain Networks with Next Generation Neural Mass Models
Rosa Maria Delicado, Gemma Huguet, Pau Clusella
Understanding the dynamics of large-scale brain models remains a central challenge due to the inherent complexity of these systems. In this work, we explore the emergence of comple…
Efficient Numerical Algorithms for Phase-Amplitude Reduction on the Slow Attracting Manifold of Limit cycles
David Reyner-Parra, Alberto Pérez-Cervera, Gemma Huguet
The phase-amplitude framework extends the classical phase reduction method by incorporating amplitude coordinates (or isostables) to describe transient dynamics transverse to the l…
Traveling waves in a model for cortical spreading depolarization with slow-fast dynamics
David Reyner-Parra, Carles Bonet, Teresa M. Seara +1
Cortical spreading depression and spreading depolarization (CSD) are waves of neuronal depolarization that spread across the cortex, leading to a temporary saturation of brain acti…
Global phase-amplitude description of oscillatory dynamics via the parameterization method
Alberto Pérez-Cervera, Tere M. Seara, Gemma Huguet
In this paper we use the parameterization method to provide a complete description of the dynamics of an -dimensional oscillator beyond the classical phase reduction. The parame…
Phase-locked states in oscillating neural networks and their role in neural communication
Alberto Pérez-Cervera, Tere M. Seara, Gemma Huguet
The theory of communication through coherence (CTC) proposes that brain oscillations reflect changes in the excitability of neurons, and therefore the successful communication betw…
The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability
A. Pérez-Cervera, P. Ashwin, G. Huguet +2
We study the dynamics arising when two identical oscillators are coupled near a Hopf bifurcation where we assume a parameter uncouples the system at . Using a normal form…