Nonlinear Dynamics: A concise introduction interlaced with code

Multiscale Modelling Tool - mathematical modelling without the maths

Python package for automated bifurcation analysis and parameter continuations, based on Auto-07p.

Solving bifurcation problems in elasticity using auto-07p

Continuation methods of Deep Neural Networks optimization, deep-learning, homotopy, bifurcation-analysis, continuation

In this repository, I am working on a framework that contains various methods from equation-free modeling, especially bifurcation analysis and projective integration.

High-precision bifurcation analysis using Newton's method.

Simulaciones numéricas en módelos de ecuaciones diferenciales

Code from the study "Ghost channels and ghost cycles guiding long transients in dynamical systems"

Code and data of the paper Clusella et al. "Complex spatiotemporal oscillations emerge from transverse instabilities in large-scale brain networks" (2023) https://doi.org/10.1371/journal.pcbi.1010781

Raw data and files used to generate plots in the "Shape of a filament on the surface of a bubble" paper (arXiv:2104.09212)

Material de apoyo interactivo para el tema de Teoría de Bifurcaciones.

Data and codes supporting the manuscript "Dialogue mechanisms between astrocytic and neuronal networks: a whole-brain modelling approach" by Ali et al., 2024, PCBI.

Bifurcation Diagram - The Logistic Map, interactive and written in P5JS

Julia and Auto-07p codes for the paper "From chimeras to extensive chaos in networks of heterogeneous Kuramoto oscillator populations", by Pol Floriach, Jordi Garcia-Ojalvo, and Pau Clusella.

Modelling of a coupled reactor-separator system with transport delay