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

Korea Institute of Electronic Communication Science (한국전자통신학회)
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Mathematical Modelling of Happiness and its Nonlinear Analysis

행복의 수학적 모델링과 비선형 해석

  • 김순환 (제주대학교 통신공학과) ;
  • 최선경 (신라대학교 사회복지학과) ;
  • 배영철 (전남대학교 전기.전자통신.컴퓨터 공학부) ;
  • 박영호 (계명대학교 사회체육학과)
  • Received : 2014.04.30
  • Accepted : 2014.06.16
  • Published : 2014.06.30
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Abstract

Happiness has been studied in sociology and psychology as a matter of grave concern. In this paper the happiness model that a new second -order systems can be organized equivalently with a Spring-Damper-Mass are proposed. This model is organized a 2-dimensional model of identically type with Duffing equation. We added a nonlinear term to Duffing equation and also applied Gaussian white noise and period sine wave as external stimulus that is able to cause of happiness. Then we confirm that there are random motion, periodic motion and chaotic motion according to parameter variation in the new happiness model.

행복은 사회학과 심리학에서 주된 관심사로 연구되어 왔다. 본 논문에서는 Spring-Damper-Mass 시스템과 등가적으로 구성할 수 있는 새로운 2차계로 구성한 행복 모델을 제안하여 Duffing 방정식과 동일한 형태의 2차원 모델로 구성한다. Duffing 방정식에 비선형 항을 추가하고 행복 현상이 나타날 수 있는 외부 신호로서 주기적인 정현파와 가우시안 백색 잡음을 인가하였다. 그런 후 새로운 행복 모델에서 파라미터 변화에 따라 랜덤 운동, 주기 운동, 카오스 운동이 있음을 확인하였다.

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