| The Lorenz equations also arise in simplified models for [[laser]]s,<ref>{{harvtxt|Haken|1975}}</ref> [[electrical generator|dynamos]],<ref>{{harvtxt|Knobloch|1981}}</ref> [[thermosyphon]]s,<ref>{{harvtxt|Gorman|Widmann|Robbins|1986}}</ref> brushless [[DC motor]]s,<ref>{{harvtxt|Hemati|1994}}</ref> [[electric circuit]]s,<ref>{{harvtxt|Cuomo|Oppenheim|1993}}</ref> [[chemical reaction]]s<ref>{{harvtxt|Poland|1993}}</ref> and [[forward osmosis]].<ref>{{harvtxt|Tzenov|2014}}{{citation needed|date=June 2017<!--doesn't point anywhere-->}}</ref> The Lorenz equations are also the governing equations in Fourier space for the [[Malkus waterwheel]].<ref>{{harvtxt|Kolář|Gumbs|1992}}</ref><ref>{{harvtxt|Mishra|Sanghi|2006}}</ref> The Malkus waterwheel exhibits chaotic motion where instead of spinning in one direction at a constant speed, its rotation will speed up, slow down, stop, change directions, and oscillate back and forth between combinations of such behaviors in an unpredictable manner. | | The Lorenz equations also arise in simplified models for [[laser]]s,<ref>{{harvtxt|Haken|1975}}</ref> [[electrical generator|dynamos]],<ref>{{harvtxt|Knobloch|1981}}</ref> [[thermosyphon]]s,<ref>{{harvtxt|Gorman|Widmann|Robbins|1986}}</ref> brushless [[DC motor]]s,<ref>{{harvtxt|Hemati|1994}}</ref> [[electric circuit]]s,<ref>{{harvtxt|Cuomo|Oppenheim|1993}}</ref> [[chemical reaction]]s<ref>{{harvtxt|Poland|1993}}</ref> and [[forward osmosis]].<ref>{{harvtxt|Tzenov|2014}}{{citation needed|date=June 2017<!--doesn't point anywhere-->}}</ref> The Lorenz equations are also the governing equations in Fourier space for the [[Malkus waterwheel]].<ref>{{harvtxt|Kolář|Gumbs|1992}}</ref><ref>{{harvtxt|Mishra|Sanghi|2006}}</ref> The Malkus waterwheel exhibits chaotic motion where instead of spinning in one direction at a constant speed, its rotation will speed up, slow down, stop, change directions, and oscillate back and forth between combinations of such behaviors in an unpredictable manner. |
− | 洛伦兹方程也出现在[[激光]]、<ref>{{harvtxt|Haken|1975}}</ref>[[发电机|dynamos]]、<ref>{{harvtxt|Knobloch|1981}}</ref>[[热虹吸管]]、 <ref>{harvtxt|Gorman|Widmann|Robbins|1986}</ref>无刷[[直流电动机]]、<ref>{harvtxt|Hemati|1994}</ref>[[电路]]、 <ref>{harvtxt|Cuomo|Oppenheim|1993}}</ref>[[化学反应]]、<ref>{harvtxt|Poland|1993}}</ref>和[[正向渗透]] <ref>{{harvtxt|Tzenov|2014}}{{citation needed|date=June 2017<!--doesn't point anywhere-->}}</ref>等其它领域的简化模型中。洛伦兹方程也是[[马尔库斯水车]]在傅里叶空间的控制方程<ref>{{harvtxt|Kolář|Gumbs|1992}}</ref><ref>{{harvtxt|Mishra|Sanghi|2006}}</ref>马尔库斯水车能够表现出混沌运动。它不是以一个恒定的速度朝固定的方向旋转,而是在旋转的过程中经历加速、减速、停止、改变方向等过程。并且这些过程以不可预测的方式在互相转变。 | + | 洛伦兹方程也出现在[[激光]]、<ref>{{harvtxt|Haken|1975}}</ref>[[发电机]]、<ref>{{harvtxt|Knobloch|1981}}</ref>[[热虹吸管]]、 <ref>{harvtxt|Gorman|Widmann|Robbins|1986}</ref>无刷[[直流电动机]]、<ref>{harvtxt|Hemati|1994}</ref>[[电路]]、 <ref>{harvtxt|Cuomo|Oppenheim|1993}}</ref>[[化学反应]]、<ref>{harvtxt|Poland|1993}}</ref>和[[正向渗透]] <ref>{{harvtxt|Tzenov|2014}}{{citation needed|date=June 2017<!--doesn't point anywhere-->}}</ref>等其它领域的简化模型中。洛伦兹方程也是[[马尔库斯水车]]在傅里叶空间的控制方程<ref>{{harvtxt|Kolář|Gumbs|1992}}</ref><ref>{{harvtxt|Mishra|Sanghi|2006}}</ref>马尔库斯水车能够表现出混沌运动。它不是以一个恒定的速度朝固定的方向旋转,而是在旋转的过程中经历加速、减速、停止、改变方向等过程。并且这些过程以不可预测的方式在互相转变。 |