6 papers
Estimates for the Number of Limit Cycles in Discontinuous Generalized Liénard Systems with Bivariate Perturbation
Carlos F. Álvarez, Alexander Sierra-Ortiz
We study the number of limit cycles of the piecewise smooth differential system where $f(x…
Li-Yorke chaotic weighted composition operators on Hardy and Bergman spaces over the unit disk
Carlos F. Álvarez, João R. Carmo, Juan Manzur
We study Li--Yorke and mean Li--Yorke chaos for weighted composition operators on Banach spaces of analytic functions on the unit disk . Under natural conditi…
Topological Detection of Hopf Bifurcations via Persistent Homology: A Functional Criterion from Time Series
Jhonathan Barrios, Yásser Echávez, Carlos F. Álvarez
We propose a topological framework for detecting Hopf-type dynamical transitions directly from scalar time series. The method combines delay-coordinate reconstruction with persiste…
Expansivity and shadowing for composition operators on Paley-Wiener spaces
Carlos F. Álvarez, O. R. Severiano
In this article, we study composition operators on the full range of Paley-Wiener spaces for Here we compute the spectrum and the spectral radius of…
On the dynamics of a semigroup and its relation with the Riemann Hypothesis
Carlos F. Álvarez, Juan Manzur
The semigroup of weighted composition operators , defined by acts on the classical Hardy-Hilbert space $H^{2}(\mathbb{…
On the composition operator with variable integrability
Javier Henríquez-Amador, Carlos F. Álvarez
In this note, we consider a class of composition operators on Lebesgue spaces with variable exponents over metric measure spaces. Taking advantage of the compatibility between the…