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Examples of limit cycles branching from fixed points near [[Hopf bifurcation. Trajectories in red, stable structures in dark blue, unstable structures in light blue. The parameter choice determines the occurrence and stability of limit cycles.]]

Examples of limit cycles branching from fixed points near [[Hopf bifurcation. Trajectories in red, stable structures in dark blue, unstable structures in light blue. The parameter choice determines the occurrence and stability of limit cycles.]]

极限环从'''<font color="#ff8000">霍普夫分岔 Hopf bifurcation</font>'''附近的不动点分支的例子。红色的轨迹，深蓝色的稳定结构，浅蓝色的不稳定结构。参数的选择决定了极限环的出现和稳定性

'''<font color="#ff8000">霍普夫分岔 Hopf bifurcation</font>'''附近不动点分支的极限环例子。红色的轨迹，深蓝色的稳定结构，浅蓝色的不稳定结构。参数的选择决定了极限环的出现和稳定性。

Limit cycles are important in many scientific applications where systems with self-sustained oscillations are modelled. Some examples include:

Limit cycles are important in many scientific applications where systems with self-sustained oscillations are modelled. Some examples include:

极限环在许多自持振荡系统的科学应用中具有重要意义。一些例子包括:

科学应用中许多自持振荡系统的仿真里，极限环具有重要意义。一些例子包括: