以下为句子列表：
英文: A kind of microbe cultivated model is discussed to verify that the limit cycle is unique in a fixed parameter range.
中文: 摘要分析了一类细菌培养模型，证明了在一定参数范围内极限环是唯一的。
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英文: Because of fixed point attractor, limit cycle attractor, tons attractorand strange attractordominating the dynamics system, present-day crustal movement presents the various dynamics states such as stable state (dynamic balancing state), period state, qua
中文: 在”不动点吸引子”、“极限环吸引子”、“环面吸引子”和“奇异吸引子”的作用下，现今地壳运动呈现出“稳定态（动平衡态）”、“周期态”、“拟周期态”、“混沌态”和“混沌边缘态”等多种动力学状态。
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英文: In this paper, the problem of limit cycle for a cubic system is studied.
中文: 摘要讨论三次系统(方程式略)的极限环问题。
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英文: Existence and Uniqueness of Limit Cycle about Prey-Predator System with Sparssing Effect
中文: 一类稀疏效应下食饵-捕食系统极限环的存在唯一性
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英文: EXISTENCE OF LIMIT CYCLE ABOUT PREY-PREDATOR SYSTEM WITH SPARSSING EFFECT
中文: 一类稀疏效应下功能反应的食饵-捕食系统极限环的存在性
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