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Derivation of a continuous time dynamic planar system with two unstable foci from a three-dimensional chaotic piecewise linear system
Eric Campos Cantón
En Embargo
31-12-2021
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1063/1.5144709
Homoclinic Orbits
Attractors
Design
"In this paper, we introduce a class of continuous time dynamical planar systems that is capable of generating attractors in the plane by means of the use of hysteresis and at least two unstable foci. This class of systems shows stretching and folding behavior due to unstable equilibria and hysteresis. Hysteresis is used to overwhelm the constraints on the behavior of planar systems. This class of systems is derived from three-dimensional piecewise linear systems that have two manifolds, one stable and the other unstable, to generate heteroclinic chaos. Two numerical examples are given accordingly to the developed theory."
American Institute of Physics
2020
Artículo
Eric Campos-Cantón. (2020). Derivation of a continuous time dynamic planar system with two unstable foci from a three-dimensional chaotic piecewise linear system. Chaos 30, 053114. https://doi.org/10.1063/1.5144709
MATEMÁTICAS
Versión publicada
publishedVersion - Versión publicada
Aparece en las colecciones: Publicaciones Científicas Control y Sistemas Dinámicos