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一个半耗散系统中的吸引子 被引量:1

Regular Attractors in a Semi-Dissipative System
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摘要 研究了一个由保守子映象和一个耗散子映象不可逆耦合而成的半耗散系统。在这样一个半耗散系统中,系统长时间、大范围的动力学行为由"混合耗散性"支配,数值计算表明该系统的动力学行为具有以下2个特征:耗散吸引子与规则吸引子共存;"混合耗散性"作用导致了耗散吸引子与规则吸引子的产生。 The thesis studies a semi--dissipative system which is an irreversible concatenation of a conservative map and a dissipative map. In such a semi--dissipative system, its dynamic behavior is determined by the mixed dissipative properties in a long time or large ranges. Our numerical calculation shows that the dynamic behavior of the system has the following two features: the coexistence of dissipative attractors and regular attractors; the mixed dissipative properties leading to the generation of dissipative attractors and regular attractors.
出处 《常州大学学报(自然科学版)》 CAS 2012年第2期73-75,共3页 Journal of Changzhou University:Natural Science Edition
基金 常州大学数理基金资助(ZMF09020024)
关键词 半耗散系统 耗散吸引子 规则吸引子 混合耗散性 semi-- dissipative systems dissipative attractors regular attractors the mixed dissipative properties
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参考文献8

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二级参考文献7

  • 1屈世显,B.Christiansen,何大韧.一个不连续不可逆映象中的新型激发[J].物理学报,1995,44(6):841-852. 被引量:8
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  • 7吴顺光,丁晓玲,何大韧.一类分段光滑映象中有新特征的激变[J].物理学报,1999,48(12):2180-2185. 被引量:7

同被引文献8

  • 1屈世显,B.Christiansen,何大韧.一个不连续不可逆映象中的新型激发[J].物理学报,1995,44(6):841-852. 被引量:8
  • 2MARIUS F DANCA. Chaos suppression via period pulses in a class of piece-wise continuous systems[J].Computers and Mathe- matics with Applications, 2012,64 : 849-855.
  • 3WANG J, DING X L, HU B B, et al. Characteristics of a Piecewise Smooth Area-Perserving Map[J]. Phys Rev E, 2001, 64:1-9.
  • 4WANG X M,WANG Y M, ZHANG K,et a. A Quasis-crisis in L qusia-dissipative sysytem[J].Eur Phys J D,2002,19:119-124.
  • 5ANG Y M, LU Y Q, HE D R, et aL A crisis of a stochastic web [J].Eur Phys J D,2004,29 ..285-292.
  • 6SHEN Y,DAI J,JIANG Y M,et al. A fat fraetal crisis in a quasi- dissipative system[J].Phys Lett A, 2006,348 : 279-283.
  • 7CHAO X G,DAI J,WANG W X,et al. A semi-dissipative crisis [J].Eur Phys J D,2006,40:423-430.
  • 8吴顺光,丁晓玲,何大韧.一类分段光滑映象中有新特征的激变[J].物理学报,1999,48(12):2180-2185. 被引量:7

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