5 papers
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…
Crossing limit cycles of discontinuous piecewise differential systems with nilpotent saddles separated by a nonregular line
Sonia Isabel Renteria Alva, Pedro Iván Suárez Navarro
In this paper, we study crossing limit cycles of planar discontinuous piecewise differential systems separated by a nonregular switching line, where one subsystem is a linear diffe…
Crossing limit cycles of discontinuous piecewise differential systems with Pleshkan's isochronous centers
Sonia Isabel Renteria Alva, Pedro Iván Suárez Navarro
In recent decades, piecewise linear differential systems have attracted considerable attention due to their ability to describe a wide range of phenomena. A central problem, as in…
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…
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…