Layla and Majnun: a complex love story

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• 作者：Sajad Jafari ; Julien C. Sprott ; S. Mohammad Reza Hashemi Golpayegani
• 关键词：Love ; Differential equations ; Complex variables
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：83
• 期：1-2
• 页码：615-622
• 全文大小：741 KB
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• 作者单位：Sajad Jafari (1)
  Julien C. Sprott (2)
  S. Mohammad Reza Hashemi Golpayegani (1)
  
  1. Department of Biomedical Engineering, Amirkabir University of Technology (AUT), 424 Hafez Ave, Tehran, Iran
  2. Department of Physics, University of Wisconsin-Madison, Madison, WI, 53706, USA
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

Following previous work, this paper introduces a new dynamical model involving two differential equations describing the time variation of behavior displayed by a couple in a romantic relationship. This model is different from previous ones because it uses complex variables. Since complex variables have both magnitude and phase, they are better able to represent love and can represent more complex emotions such as coexisting love and hate. The model treats feelings as a two-dimensional vector rather than a scalar, which is a step closer to reality. Another interesting characteristic of the new model is its ability to show transiently chaotic behavior between only two individuals, which in previous models appeared only in love triangles. The sensitive dependence on initial conditions represents the unpredictable dynamics of love affairs. Keywords Love Differential equations Complex variables