División de Matemáticas Aplicadas, IPICyT, Camino a la Presa San José 2055 col. Lomas 4a Sección, 78216 San Luis Potosí, SLP, Mexico.
Chaos. 2012 Sep;22(3):033121. doi: 10.1063/1.4742338.
In this paper, we present a class of 3-D unstable dissipative systems, which are stable in two components but unstable in the other one. This class of systems is motivated by whirls, comprised of switching subsystems, which yield strange attractors from the combination of two unstable "one-spiral" trajectories by means of a switching rule. Each one of these trajectories moves around two hyperbolic saddle equilibrium points. Both theoretical and numerical results are provided for verification and demonstration.
在本文中，我们提出了一类三维不稳定耗散系统，它们在两个分量中是稳定的，但在另一个分量中是不稳定的。这类系统是由旋转体激发的，旋转体由切换子系统组成，通过切换规则将两个不稳定的“单螺旋”轨迹组合产生奇异吸引子。这些轨迹中的每一个都围绕两个双曲鞍形平衡点运动。为了验证和演示，我们提供了理论和数值结果。
