Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Mathematical Modelling and Chaotic Behavior Analysis of Cyber Addiction

사이버 중독의 수학적 모델링과 비선형 거동 해석

  • 김명미 (대구한의대학교 실버스포츠산업학과) ;
  • 배영철 (전남대학교 전기전자통신컴퓨터공학부)
  • Received : 2014.03.09
  • Accepted : 2014.05.14
  • Published : 2014.06.25
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Abstract

Addiction can be largely divided into two categories. One is called medium addiction in which medium itself causes an addiction. Another is called cause addiction that brings addiction through combination of sensitive self and latent personal action. The medium addiction involves addiction phenomena directly caused by illegal drugs, alcohol and various other chemicals. The cause addiction is dependent on personal sensitivities as a sensitive problem of personal and includes cyber addictions such as shopping, work, game, internet, TV, and gambling. In this paper we propose two-dimensional addiction model that are equivalent to using an R-L-C series circuit of Electrical circuit and a Spring-Damper-mass of mechanical system. We also organize a Duffing equation that is added a nonlinear term in the proposed two-dimensional addiction model. We represent periodic motion and chaotic motion as time series and phase portrait according to parameter's variation. We confirm that among parameters chaotic motion had addicted state and periodic motion caused by change in control coefficient had pre-addiction state.

중독은 크게 매개체 자체가 중독성을 가진 매개성 중독과 매개체 자체가 중독성을 가진 것이 아니라 예민한 개인과 잠재된 어떤 행동과 결합하여 중독을 유발하는 유발성 중독으로 나눌 수 있다. 매개성 중독은 약물 중독, 알코올 중독과 주로 화학물질의 직접 적인 원인이 되어 중독현상을 일으킨다. 유발성 중독은 쇼핑 중독, 일 중독, 게임 중독, 인터넷 중독, TV중독, 도박 중독 등의 사이버 중독이 있다. 유발성 중독은 개인의 감수성의 문제로서 개인에 따른 편차가 존재한다. 본 논문에서는 전기 시스템의 R-L-C 직렬 회로와 기계 시스템의 Spring-Damper-Mass를 이용하여 등가적으로 동일한 2차원의 중독 모델을 제안한다. 제안한 중독 모델에 비선형 항을 추가하여 Duffing을 구성한 후 파라미터 변화에 의해 주기운동과 카오스 운동을 시계열과 위상공간으로 나타내었다. 또한 파라미터 중 통제계수의 변화에 의해 주기 운동은 중독 되기 전의 상태를 카오스 운동은 중독된 상태임을 확인하였다.

Keywords

References

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