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浑沌简介 被引量:3

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摘要 浑沌现象涉及到数学、物理学、化学、生物学等许多学科.本文简要介绍浑沌理论的研究现状、判断和研究浑沌现象的方法.
作者 井竹君
出处 《数学的实践与认识》 CSCD 北大核心 1991年第1期81-94,共14页 Mathematics in Practice and Theory
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参考文献6

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同被引文献11

  • 1迟洪钦,上海师范大学学报,1992年,2期,77页
  • 2张筑生,微分动力系统原理,1987年
  • 3Mitchell J. Feigenbaum. The universal metric properties of nonlinear transformations[J] 1979,Journal of Statistical Physics(6):669~706
  • 4Mitchell J. Feigenbaum. Quantitative universality for a class of nonlinear transformations[J] 1978,Journal of Statistical Physics(1):25~52
  • 5Moon F C, Hohnes P J. A maganetoelastic strange attractor[ J ]. Journal of Sound and Vibration, 1979,65 (2) :285 -296.
  • 6Moon F C, Holmes P J. Addendum: a magnetoelastic strange attracrtor [ J ]. Journal of Sound and Vibration, 1980,69 (2) :339.
  • 7Holmes C, Holmes P. Serond order averaging and bifurrations to subharmonies in Duffing's equation [ J]. Journal of Sound and Vi- bration, 1981,78 (2) : 161 - 174.
  • 8Jing Z J, Wang R Q. Complex dynamics in Duffing system with two external forcinqs [ J ]. Journal of Chaos, Solitons and Fractals, 2005,23:399 -411.
  • 9Yagasaki K. Hornoclinic tangles, phase locking, and chaosin a two frtx/uenry perturbation of Duffing's equation [ J ]. Journal of Non- linear Science, 1999,9 : 131 - 148.
  • 10Kapitaniak T. Analytical condition for chaotic behavior of the Duffing oscillation [ J ]. Journal of Physics Letters A, 1990,144 (7) : 322 - 324.

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