中国物理B ›› 1996, Vol. 5 ›› Issue (12): 890-900.doi: 10.1088/1004-423X/5/12/002

• GENERAL • 上一篇    下一篇

OBSERVATIONS OF HOMOCLINIC CHAOS THROUGH ALTERNATING PERIODIC-CHAOTIC SEQUENCES IN A NONLINEAR CIRCUIT

马连喜, 孙红岩, 王龙   

  1. Institute of Physics, Academia Sinica, Beijing 100080, China
  • 收稿日期:1996-01-17 出版日期:1996-12-20 发布日期:1996-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China and National Basic Research Project "Nonlinear Science" of China.

OBSERVATIONS OF HOMOCLINIC CHAOS THROUGH ALTERNATING PERIODIC-CHAOTIC SEQUENCES IN A NONLINEAR CIRCUIT

MA LIAN-XI (马连喜), SUN HONG-YAN (孙红岩), WANG LONG (王龙)   

  1. Institute of Physics, Academia Sinica, Beijing 100080, China
  • Received:1996-01-17 Online:1996-12-20 Published:1996-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China and National Basic Research Project "Nonlinear Science" of China.

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摘要： Homoclinic chaos in the alternating periodic-chaotic sequences is observed in a nonlinear circuit with sinusoidal driving force. In particular, a complete Alternating Periodic-Chaotic sequence is recorded with a high-resolution up to P(8) state. The experimental results, analyzed by constructing the time of flight and the next maximal amplitude return maps, are in good agreement with the scenario described by Shilnikov. The underlying dynamics of homoclinic chaos is determined from the next amplitude return map, to be that of a unimodal map and thus a strong dissipation case.

Abstract: Homoclinic chaos in the alternating periodic-chaotic sequences is observed in a nonlinear circuit with sinusoidal driving force. In particular, a complete Alternating Periodic-Chaotic sequence is recorded with a high-resolution up to P(8) state. The experimental results, analyzed by constructing the time of flight and the next maximal amplitude return maps, are in good agreement with the scenario described by Shilnikov. The underlying dynamics of homoclinic chaos is determined from the next amplitude return map, to be that of a unimodal map and thus a strong dissipation case.

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a