Anzo-Hernández A, Gilardi-Velázquez H E, Campos-Cantón E
Cátedras CONACYT - Benemérita Universidad Autónoma de Puebla - Facultad de Ciencias Físico-Matemáticas, Benemerita Universidad Autónoma de Puebla, Avenida San Claudio y 18 Sur, Colonia San Manuel, 72570 Puebla, Mexico.
División de Matemáticas Aplicadas, Instituto Potosino de Investigación Científica y Tecnológica A.C., Camino a la Presa San José 2055 col. Lomas 4a Sección, 78216 San Luis Potosí, SLP, Mexico.
Chaos. 2018 Mar;28(3):033613. doi: 10.1063/1.5016329.
We present dissipative systems with unstable dynamics called the unstable dissipative systems which are capable of generating a multi-stable behavior, i.e., depending on its initial condition, the trajectory of the system converges to a specific attractor. Piecewise linear (PWL) systems are generated based on unstable dissipative systems, whose main attribute when they are switched is the generation of chaotic trajectories with multiple wings or scrolls. For this PWL system, a structure is proposed where both the linear part and the switching function depend on two parameters. We show the range of values of such parameters where the PWL system presents a multistable behavior and trajectories with multiscrolls.
我们提出了具有不稳定动力学的耗散系统，即不稳定耗散系统，它们能够产生多稳态行为，也就是说，根据其初始条件，系统的轨迹会收敛到特定的吸引子。基于不稳定耗散系统生成了分段线性（PWL）系统，当它们切换时的主要特性是生成具有多个翼或卷轴的混沌轨迹。对于这个PWL系统，提出了一种结构，其中线性部分和切换函数都依赖于两个参数。我们展示了此类参数的值范围，在此范围内PWL系统呈现多稳态行为以及具有多卷轴的轨迹。
