3 papers
math.DS2026
Zero-Hopf Bifurcation of Qi hyperchaotic Systems
Sonia Isabel Renteria Alva, Pedro Iván Suárez Navarro
In this paper, we show a zero-Hopf bifurcations in a four-dimensional hyperchaotic Qi system. While the hyperchaotic dynamics of this model have been extensively investigated, the…
math.DS2026
Emergence of Mandelbrot-like and Julia-like Structures in Parameter Slices of Rational Maps
Pedro Iván Suárez Navarro
We study complex one-dimensional parameter slices in a three-parameter family of rational maps with two free critical points, obtained by imposing the existence of periodic orbits…
math.DS2026
Emergence of Multiple Crossing Limit Cycles in Planar Piecewise Systems with Isochronous Centers and Nonsmooth Switching Manifolds
Sonia Isabel Renteria Alva, Pedro Iván Suárez Navarro
Discontinuous piecewise differential systems exhibit dynamical behaviors with no counterpart in smooth systems, particularly in the presence of nonsmooth switching structures. In t…