5 papers
Diffusion and Discrete Temporal Models of the Growth of Free-Ranging Cats in Urban Areas
Rodrigo Perusquía Cortés, Pablo Padilla Longoria
The survival of the domestic cat (Felis catus) in various ecosystems has become increasingly relevant due to its impact on wildlife, public health, and society. In countries like M…
Analysis and Visualization of Musical Structure using Networks
Alberto Alcalá-Alvarez, Pablo Padilla-Longoria
In this article, a framework for defining and analysing a family of graphs or networks from symbolic music information is discussed. Such graphs concern different types of elements…
A Probabilistic Approach to the Existence of Solutions to Semilinear Elliptic Equations
Ma Elena Hernandez-Hernandez, Pablo Padilla-Longoria
We study a semilinear elliptic equation with a pure power nonlinearity with exponent , and provide sufficient conditions for the existence of positive solutions. These conditi…
Synchronization Fronts in a Spatially Extended System of Hybrid Rayleigh-van der Pol Oscillators
Carles Tardío Pi, Jorge Castillo Medina, Pablo Padilla Longoria
Numerous biological systems exhibit transitions to synchronised oscillations via a population-density-dependant mechanism known as quorum sensing. Here we propose a model system, b…
Rhythm and form in music: a complex systems approach
Blas Kolic, Mateo Tonatiuh Rodriguez-Cervantes, Pablo Padilla-Longoria +1
There has been an everlasting discussion around the concept of form in music. This work is motivated by such debate by using a complex systems framework in which we study the form…