− | </ref> Self-excited attractors can be localized numerically by standard computational procedures, in which after a transient sequence, a trajectory starting from a point on an unstable manifold in a small neighborhood of an unstable equilibrium reaches an attractor, such as the classical attractors in the [[Van der Pol oscillator|Van der Pol]], [[Belousov–Zhabotinsky reaction|Belousov–Zhabotinsky]], [[Lorenz attractor|Lorenz]], and many other dynamical systems. In contrast, the basin of attraction of a [[hidden attractor]] does not contain neighborhoods of equilibria, so the [[hidden attractor]] cannot be localized by standard computational procedures.
| + | Self-excited attractors can be localized numerically by standard computational procedures, in which after a transient sequence, a trajectory starting from a point on an unstable manifold in a small neighborhood of an unstable equilibrium reaches an attractor, such as the classical attractors in the [[Van der Pol oscillator|Van der Pol]], [[Belousov–Zhabotinsky reaction|Belousov–Zhabotinsky]], [[Lorenz attractor|Lorenz]], and many other dynamical systems. In contrast, the basin of attraction of a [[hidden attractor]] does not contain neighborhoods of equilibria, so the [[hidden attractor]] cannot be localized by standard computational procedures. |
| 自激吸引子可以用标准的计算程序进行数值定域,在一个瞬态序列之后,从不稳定平衡小邻域中不稳定流形上的点开始的轨迹到达吸引子,例如[[Van der Pol振荡器| Van der Pol]]中的经典吸引子,[[Belousov–Zhabotinsky reaction | Belousov–Zhabotinsky]],[[Lorenz吸引子| Lorenz]],以及许多其他动力系统。相比之下,[[隐吸引子]]的吸引域不包含平衡邻域,因此[[隐吸引子]]不能用标准的计算程序进行局部化。 | | 自激吸引子可以用标准的计算程序进行数值定域,在一个瞬态序列之后,从不稳定平衡小邻域中不稳定流形上的点开始的轨迹到达吸引子,例如[[Van der Pol振荡器| Van der Pol]]中的经典吸引子,[[Belousov–Zhabotinsky reaction | Belousov–Zhabotinsky]],[[Lorenz吸引子| Lorenz]],以及许多其他动力系统。相比之下,[[隐吸引子]]的吸引域不包含平衡邻域,因此[[隐吸引子]]不能用标准的计算程序进行局部化。 |