The Journal of the Korea institute of electronic communication sciences (한국전자통신학회논문지)

Korea Institute of Electronic Communication Science (한국전자통신학회)
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Analysis of Nonlinear Behavior in Fractional Van der Pol Equation with Periodic External Force

주기적인 외력을 가진 Van der Pol 발진기에서의 비선형 거동 해석

  • Bae, Young-Chul (Division of Electrical.Electronics Communication and Computer Engineering, Chonnam National University)
  • 배영철 (전남대학교 전기.전자통신.컴퓨터공학부)
  • Received : 2015.12.23
  • Accepted : 2016.01.24
  • Published : 2016.01.30
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Abstract

Van der Pol's oscillators is non-conservative oscillator that having nonlinear damping phenomena. The energy of its system is dissipative at a high amplitude whereas its system creates the energy at low amplitude. In order to identify another behaviors in the Van der Pol oscillator, the periodic external force applied in the Van der Pol oscillator. This paper confirms the pattern of variation for the limit cycle according to parameter variation in order to identify another behaviors in the Van der Pol oscillator.

Van der Pol 발진기는 비선형 제동 현상을 가진 비보존 발진기로서 높은 진폭에서의 에너지는 소산적이며 (dissipative)이고 낮은 진폭들에서는 생성되는 구조를 가진다. 본 논문에서는 Van Der Pol 발진기 모델에서 다른 거동을 확인하기 위하여 주기적 외력을 인가하고 여기에서 파라미터 변화에 따라 어떻게 리미트 사이클이 변화하는지에 대한 패턴을 확인하고자 한다.

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