名词
中文翻译：双曲不变集
同义词：
['hyperbolic set', 'hyperbolic set of points例句：1. In the studyof complex systems', 'hyperbolic invariantsets play a crucial role in determining thestability of the system.（在复杂系统研究中，双曲不变集在确定系统稳定性方面起着至关重要的作用。）2. The researchon hyperbolic invariantsets has led to significant advancements in the field of dynamicalsystems.（关于双曲不变集的研究已经使动力系统领域取得了显著的进步。）']
例句：
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1. In the studyof complex systems, hyperbolic invariantsets play a crucial role in determining thestability of the system.
在复杂系统研究中，双曲不变集在确定系统稳定性方面起着至关重要的作用。
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2. The researchon hyperbolic invariantsets has led to significant advancements in the field of dynamicalsystems.
关于双曲不变集的研究已经使动力系统领域取得了显著的进步。
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3. The mathematicalmodel of hyperbolic invariant sets isessential for understanding the behavior of dynamicalsystems.
双曲不变集的数学模型对于理解动态系统的行为至关重要。