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    "zh-CN": "动力系统的平衡点",
    "en": "equilibrium point"
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  "scope_note": "§4.3 explicitly calls constant solutions of the autonomous system critical points.",
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        "quote": "矩阵 $A$ 与向量 $x$ 均假定为实。<u id=\"concept-4-critical-point\" class=\"concept-term\" data-concept-identity=\"urn:uuid:278239da-53dc-45e3-8256-1f7bdcdc9037\" data-concept-route=\"/concept-identities#concept-278239da-53dc-45e3-8256-1f7bdcdc9037\">临界点(critical point)</u> $\\mathbf { X } _ { 0 }$ 指方程 (4.27) 的任意常值解 $\\mathbf { X } = \\mathbf { X } _ { 0 }$。自治系统的分析可细分为名目繁多的情况与子情况。我们考虑矩阵 $A$ 非奇异的情形，此时唯一的临界点为 $\\mathbf { x } _ { 0 } = \\mathbf { 0 }$。两个特征值 $\\lambda _ { 1 }$ 与 $\\lambda _ { 2 }$ 均为 $\\neq 0$，于是出现以下各种可能。",
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