第一象限 meaning in English
first quadrant
quadrant
Examples
- In the cases of and , there has no closed orbit to the system ( * ) in the first quadrant
这里，为某一负值， 。对和不定号的情形，系统（ * ）在第一象限内均不存在极限环。 - I had planned a system of simple gestures , such as movement in quadrant 1 for shield , movement in quadrant 2 for laser beam fire , as a method of control , complete with particle effects - pulsing laser shields and sound effects taken from previous work with sdl
我设计了一个简单的姿态系统作为控制方法，比如第一象限中的移动表示盾，第二象限中的移动表示激光剑，再加上粒子效果脉冲式激光盾和声音效果来自以前用sdl完成的工作。 - When , there exists at least one limit cycle to the system ( * ) in the first quadrant ; theorem 2 . when , there exsits at most one limit cycle to the system ( * ) in the first quadrant ; theorem 3 . when , there exactly exists one limit cycle to the system ( * ) in the first quadrant
我们得到下列结论：定理1 、当时，系统（ * ）在第一象限内至少存在一个极限环；定理2 、当时，系统（ * ）在第一象限内至多存在一个极限环，若存在必为稳定的；定理3 、当时，系统（ * ）在第一象限内存在唯一的极限环，且为稳定的。 - Especially , when the isocline of x is monotone decreasing in 0 < x < 1 , the svstem has no limit cycle and is globally stable ; next , we construct a saddle bifurcation at the boundary equilibrium and a degenerated bogdanov - takens bifurcation at the interior equilibrium by choosing appropriate parameter values in the following two sections , where our work are based on the theory of central manifolds and normal torms . we prove that is a codimention 3 focus - type equilibrium . system ( 6 . 1 ) will have two limit cycles at some appropriate bifurcation parameter values , and have homoclinic or double - homoclinic orbits at some other appropriate bifurcation parameter values ; at last , we study the qualitative properties of the system at infinite in the poincare sphere
因为系统在( 0 ， 0 )点处没有定义，这给研究其在( 0 ， 0 )附近的动力学性质带来了困难，我们应用文献[ 17 ]中关于研究非线性方程奇点的系列理论和方法，圆满解决了这一问题，给出了第一象限内当t +或t -时，在全参数状态下系统的轨线趋于( 0 ， 0 )点的所有可能情况，其相图也得以描绘；并且，系统不存在极限环的几个充分条件我们也予以列出，当x的等倾线在0 x 1范围内递减时，系统不存在极限环，全局渐近稳定；然后，我们以中心流形定理和正规型方法为主要工具，巧妙选择参数，分别构造了一个余维2的鞍点分岔和一个余维3退化bogdanov - takens分岔，证明了平衡点是余维3的焦点型平衡点，存在参数， m ，的值使得系统( 6 . 1 )有两个极限环，还存在参数， m ，的另外值使得系统( 6 . 1 )有同宿轨或双同宿轨。