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Generación de sistemas dinámicos lineales por partes caóticos sin puntos de equilibrio
(2016-07)
"Los sistemas dinámicos con comportamiento caótico han sido de gran utilidad para el modelado de fenómenos así como para el desarrollo de nueva tecnología en diversas áreas del conocimiento. En 1994 Sprott reportó 19 casos ...
Generation of multi-scroll attractors without equilibria via piecewise linear systems
(2017-05)
"In this paper, we present a new class of dynamical system without equilibria which possesses a multiscroll attractor. It is a piecewise-linear system which is simple, stable, displays chaotic behavior and serves as a model ...
Analysis of a class of complex system without equilibria via switched control law
(International Federation of Automatic Control, 2018)
"In this article we introduce a new class of complex system without equilibria which exhibits a chaotic multiscroll attractor in each node. The number of scrolls in the attractor is determined by a switched control law to ...
Bistable behavior via switching dissipative systems with unstable dynamics and its electronic design
(International Federation of Automatic Control, 2018)
"In this work we present a design of a bistable system and its electronic circuit which is generated by a switching system. The switching system is comprised by dissipative subsystems with unstable dynamics based on the ...
Generation of chaotic attractors without equilibria via piecewise linear systems
(2017)
"In this paper, we present a mechanism of generation of a class of switched dynamical system without equilibrium points that generates a chaotic attractor. The switched dynamical systems are based on piecewise linear (PWL) ...
A class of Chua-like systems with only two saddle-foci of different type
(International Federation of Automatic Control, 2018)
"Since the reported Chua’s system, several generalizations of this system have been presented, these approaches include new equilibria in order to obtain three or more scrolls in the attractor. One of these generalizations ...
A class of Piecewise Linear Systems without equilibria with 3-D grid multiscroll chaotic attractors
(IEEE, 2018)
"In this paper a new class of piecewise linear (PWL) dynamical system without equilibria which exhibits a three dimensional (3D) grid multiscroll chaotic attractor is presented. The number of scrolls of the attractor ...
Emergence of Hidden Attractors through the Rupture of Heteroclinic-Like Orbits of Switched Systems with Self-Excited Attractors
(Hindawi, 2021)
"This work is dedicated to the study of an approach that allows the generation of hidden attractors based on a class of piecewise-linear (PWL) systems. The systems produced with the approach present the coexistence of ...
Generación de atractores ocultos multienroscados y tipo rejilla en sistemas sin puntos de equilibrio y en sistemas multiestables con atractores auto-excitados
(2020)
"Recientemente se han reportado sistemas sin puntos de equilibrio con atractores caóticos. Los atractores caóticos dados por sistemas sin puntos de equilibrio pertenecen a una clase de atractores conocidos como atractores ...
Multistable Systems with Hidden and Self-Excited Scroll Attractors Generated via Piecewise Linear Systems
(Hindawi, 2020)
"In this work, we present an approach to design a multistable system with one-directional (1D), two-directional (2D), and three-directional (3D) hidden multiscroll attractor by defining a vector field on with an even ...