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Effects of Lvy noise and immune delay on the extinction behavior in a tumor growth model
  • ISSN号：1674-1056
  • 期刊名称：《中国物理B：英文版》
  • 时间：0
  • 分类：O175.14[理学—数学;理学—基础数学] TU973.2[建筑科学—结构工程]
  • 作者机构：[1]Department of Applied Mathematics, Northwestern Polytechnical University Xi'an 710072, China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Nos. 11172233, 11302169, 11302170, and 11472212） and the Fundamental Research Funds for the Central Universities （No. 3102014JCQ01079）
作者： 郝孟丽[1], 徐伟[1], 谷旭东[1], 戚鲁媛[1]
关键词： 随机响应分析, 广义胞映射, 噪声系统, 恢复力, 映射方法, 功率, PDF文件, 概率密度函数, stochastic response, probability density function （PDF）, generalized cell mapping （GCM） method, real-power restoring force, bifurcation
中文摘要：

The stochastic response of a noisy system with non-negative real-power restoring force is investigated.The generalized cell mapping(GCM) method is used to compute the transient and stationary probability density functions(PDFs).Combined with the global properties of the noise-free system,the evolutionary process of the transient PDFs is revealed.The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.

英文摘要：

The stochastic response of a noisy system with non-negative restoring force is investigated. The generalized cell mapping （GCM） method compute the transient and stationary probability density functions （PDFs） real-power is used to Combined with the global properties of the noise-free system, the evolutionary process of the tran- sient PDFs is revealed. The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.

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期刊信息
  • 《中国物理B：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国物理学会和中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京 中关村 中国科学院物理研究所内
  • 邮编：100080
  • 邮箱：
  • 电话：010-82649026 82649519
  • 国际标准刊号：ISSN：1674-1056
  • 国内统一刊号：ISSN：11-5639/O4
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:406