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第1行： + − In a dynamical system, multistability is the property of having multiple stable equilibrium points in the vector space spanned by the states in the system. By mathematical necessity, there must also be unstable equilibrium points between the stable points. Points that are stable in some dimensions and unstable in others are termed unstable, as is the case with the first three Lagrangian points.+ − − 在动力系统系统中，多稳定性是系统状态跨越向量空间中多个稳定平衡点的性质。根据数学上的必然性，在稳定点之间也一定存在不稳定的平衡点。在某些维度上稳定而在另一些维度上不稳定的点被称为不稳定点，就像前三个拉格朗日点一样。 − − 第15行：
第12行： − Bistability is the special case with two stable equilibrium points. It is the simplest form of multistability, and can occur in systems with only one state variable, as it only takes a one-dimensional space to separate two points.+ − − 双稳态是具有两个稳定平衡点的特殊情形。这是多稳定性的最简单形式，可以发生在只有一个状态变量的系统中，因为它只需要一个一维空间就可以分离两个点。 第24行：
第19行： − − Near an unstable equilibrium, any system will be sensitive to noise, initial conditions and system parameters, 第33行：
第26行： − which can cause it to develop in one of multiple divergent directions. + − − 导致它向多个不同的方向发展。 − In economics and social sciences, path dependence gives rise to divergent directions of development.+ − − 在经济学和社会科学中，路径依赖导致了发展方向的分歧。 − Some path dependent processes are adequately described by multistability,+ − − 一些路径依赖过程可以用多重稳定性来充分描述, − by being initially sensitive to input, before reaching a stagnant state – + − − 在达到停滞状态之前，最初对输入很敏感 − for example market share instability, which can develop into a stable monopoly for one of multiple possible vendors.+ − − 例如，市场份额不稳定，这可能发展成为一个稳定的垄断多个可能的供应商之一。 第75行：
第58行： − In vision science, multistable perception characterizes the wavering percepts that can be brought about by certain visually ambiguous pattern such as the Necker cube, monocular rivalry or binocular rivalry.+ − − 在视觉科学中，多稳态知觉描述了由于某些视觉上模糊的图案，如内克河立方体、单眼竞争或双眼竞争，而产生的摇摆感知。 − − Through lateral inhibition, a pattern in which one image, when stimulated, inhibit the activity of neighboring images. − 通过侧抑制，一个图像在受到刺激时，抑制邻近图像的活动。+
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此词条暂由彩云小译翻译，翻译字数共232，未经人工整理和审校，带来阅读不便，请见谅。
此词条暂由彩云小译翻译，翻译字数共232，未经人工整理和审校，带来阅读不便，请见谅。
此词条由舒寒初步翻译。
In a [[dynamical system]], '''multistability''' is the property of having multiple [[Stability theory|stable equilibrium points]] in the [[vector space]] spanned by the states in the system. By mathematical necessity, there must also be unstable equilibrium points between the stable points. Points that are stable in some dimensions and unstable in others are termed unstable, as is the case with the first three [[Lagrangian points]].
In a [[dynamical system]], '''multistability''' is the property of having multiple [[Stability theory|stable equilibrium points]] in the [[vector space]] spanned by the states in the system. By mathematical necessity, there must also be unstable equilibrium points between the stable points. Points that are stable in some dimensions and unstable in others are termed unstable, as is the case with the first three [[Lagrangian points]].
在动力学系统中，多重稳定性是在矢量空间中具有多个稳定的平衡点的特性，该平衡点由系统中的状态跨越。根据数学上的必然性，在稳定点之间也一定存在不稳定的平衡点。 与前三个拉格朗日点一样，在某些维度上稳定而在其他维度上不稳定的点被称为不稳定点。
== Bistability ==
== Bistability ==
Bistability is the special case with two stable equilibrium points. It is the simplest form of multistability, and can occur in systems with only one state variable, as it only takes a one-dimensional space to separate two points.
Bistability is the special case with two stable equilibrium points. It is the simplest form of multistability, and can occur in systems with only one state variable, as it only takes a one-dimensional space to separate two points.
双稳态是具有两个稳定平衡点的特殊情形。这是多重稳定性的最简单形式，可以发生在只有一个状态变量的系统中，因为它只需要一个一维空间来分隔两个点。
{{see also|Path dependence}}
{{see also|Path dependence}}
Near an unstable equilibrium, any system will be sensitive to noise, initial conditions and system parameters,
Near an unstable equilibrium, any system will be sensitive to noise, initial conditions and system parameters,
which can cause it to develop in one of multiple divergent directions.
which can cause it to develop in one of multiple divergent directions.
这导致它向多个不同的方向中的一个发展。
In economics and social sciences, path dependence gives rise to divergent directions of development.
In economics and social sciences, path dependence gives rise to divergent directions of development.
在经济学和社会科学中，路径依赖引起了发展方向的分歧。
Some path dependent processes are adequately described by multistability,
Some path dependent processes are adequately described by multistability,
多重稳定性充分描述了一些路径的依赖过程,
by being initially sensitive to input, before reaching a stagnant state –
by being initially sensitive to input, before reaching a stagnant state –
在进入停滞状态之前，最初对输入很敏感
for example [[market share]] instability, which can develop into a stable [[monopoly]] for one of multiple possible vendors.
for example [[market share]] instability, which can develop into a stable [[monopoly]] for one of multiple possible vendors.
例如，市场份额的不稳定，可能会演变成多个可能的供应商之一的稳定垄断。
In vision science, [[multistable perception]] characterizes the wavering percepts that can be brought about by certain visually ambiguous pattern such as the [[Necker cube]], [[monocular rivalry]] or [[binocular rivalry]].
In vision science, [[multistable perception]] characterizes the wavering percepts that can be brought about by certain visually ambiguous pattern such as the [[Necker cube]], [[monocular rivalry]] or [[binocular rivalry]].
在视觉科学中，多稳态知觉描述了由于某些视觉上模糊的模式，如内克魔方、单眼竞争或双眼竞争，而引起的摇摆感知。
Through lateral inhibition, a pattern in which one image, when stimulated, inhibit the activity of neighboring images.
Through lateral inhibition, a pattern in which one image, when stimulated, inhibit the activity of neighboring images.
通过横向抑制，其中一个图像在受到刺激时会抑制邻近图像的活动。