期刊文献+

一类具有冲击振子背景二维映象的V型阵发特征 被引量:1

The Characteristics of Type V Intermittency Displayed in a Kind of Two-Dimensional Maps with a Background of Impact Oscillators
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摘要 在一类以冲击振子为背景的二维分段连续映象模型中观察到由周期运动向混沌转变的V型阵发道路.它具有两个特点:首先在使用作者提出的“穿越数”来描述周期轨道时,在穿越数-参数平面上可以观察到系统进入混沌之前展示的V型阵发前奏锁相阶梯,这个阶梯常常同时包含类似传统魔梯和类似多重魔梯的结构;其次所观察到的锁相阶梯之后出现的混沌吸引子都是系统函数不连续边界象集的归宿。 Type V intermittency is found to exist widely in a kind of two-dimensional maps with a background of impact oscillators. It has two characteristics. Firstly, the prelude phase-locking staircase to type V intermittency before entering chaos includes the traditional-like and multiple-like devil's staircase structures; secondly, the chaotic attractor appearing after the staircase is always the end-results of the image set of the discontinuous borderline.
出处 《应用科学学报》 CAS CSCD 2003年第2期122-126,共5页 Journal of Applied Sciences
基金 国家自然科学基金(10275053)
关键词 二维分段连续映象模型 V型阵发 冲击振子 周期运动 混沌运动 周期轨道 混沌吸引子 机械系统 impact oscillator type V intermittency periodic orbit chaotic attractor
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参考文献15

  • 1Budd C, Dux F. Chattering and related behavior in impact oseillators[J]. Philos Trans R Soc London,1994, 347..365 - 389.
  • 2Lamba H, Budd C. Scaling of Lyapunov exponents at nonsmooth bifurcations [J]. Phys Rev E, 1994,50:84 - 90.
  • 3Chin W, Ott E, Nusse H E, et al. Grazing bifuecations in impact oscillators [J]. Phys Rev E, 1994,50:4427 - 4444.
  • 4De Weger J, Binks D, Molenaar J, et al. Generic behavior of grazing impact oscillators [J]. Phys Rev Lett, 1996, 76:3951-3954.
  • 5He D R, et al. Type V intermittency[J]. Phys Lett A, 1992, 171: 61-65.
  • 6Wu S, Ding E J, He D R. The Lyapunov exponent near the criticality of type V intermittency[J]. Phys Lett A, 1995, 197:287-292.
  • 7Nordmark A B. Non-periodic motion caused by grazing incidence in an impact oscillator [J]. J Sound Vib, 1991, 145:279-297.
  • 8Nordmark A B. Effects due to low velocity impact in mechanical oscillator[J]. J Bifur Chaos, 1992,2:597- 605.
  • 9Bak P. Devil's staircase[J]. Phys Today, 1986,39:38-42.
  • 10Qu S X, Wu S, He D R. Multiple devil's staircase and type V intermittency [J ]. Phys Rev E, 1998,57:402 - 411.

同被引文献8

  • 1Hu B, Li B, Liu J, et al. Quantum chaos of a kicked particle in an infinite potential well [J]. Phys Rev Lett,1999,82(21): 4 224.
  • 2Chen H S, Wang J,Gu Y. Transport properties of a classical one-dimensional kicked billiard model [J]. Chin Phys Lett,2000,17(2): 85.
  • 3Wang J, Ding X L, Wang B H,et al. Quasi-attractors in a piece-wise smooth area-preserving maps[J]. Chin Phys Lett,2001,18(3): 13.
  • 4Wang J, Hu B, Ding X L, et al. Characteristics of a piecewise smooth concatenation of two area-preserving maps[J]. Phys Rev, 2001,E64:026202.
  • 5Wang X M, Wang Y M, Zhang K, et al. A quasi-crisis in a quasi-dissipative system [J]. Eur Phys J ,2002,D19:119.
  • 6陈贺胜.周期驱动的一维台球模型的量子扩散特性[J].物理学报,2000,49(5):844-848. 被引量:7
  • 7丁晓玲,王健,王旭明,何大韧.一类不可逆保守系统中的混沌类吸引子[J].物理学报,2002,51(3):482-486. 被引量:5
  • 8汪颖梅,王旭明,陈贺胜,王文秀,赵金刚,何大韧.一种“类耗散系统”中的“类Ⅴ型阵发”[J].物理学报,2002,51(7):1475-1482. 被引量:7

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