TY - JOUR
T1 - Effects of random noise in a dynamical model of love
AU - Xu, Yong
AU - Gu, Rencai
AU - Zhang, Huiqing
PY - 2011/7
Y1 - 2011/7
N2 - This paper aims to investigate the stochastic model of love and the effects of random noise. We first revisit the deterministic model of love and some basic properties are presented such as: symmetry, dissipation, fixed points (equilibrium), chaotic behaviors and chaotic attractors. Then we construct a stochastic love-triangle model with parametric random excitation due to the complexity and unpredictability of the psychological system, where the randomness is modeled as the standard Gaussian noise. Stochastic dynamics under different three cases of "Romeo's romantic style", are examined and two kinds of bifurcations versus the noise intensity parameter are observed by the criteria of changes of top Lyapunov exponent and shape of stationary probability density function (PDF) respectively. The phase portraits and time history are carried out to verify the proposed results, and the good agreement can be found. And also the dual roles of the random noise, namely suppressing and inducing chaos are revealed.
AB - This paper aims to investigate the stochastic model of love and the effects of random noise. We first revisit the deterministic model of love and some basic properties are presented such as: symmetry, dissipation, fixed points (equilibrium), chaotic behaviors and chaotic attractors. Then we construct a stochastic love-triangle model with parametric random excitation due to the complexity and unpredictability of the psychological system, where the randomness is modeled as the standard Gaussian noise. Stochastic dynamics under different three cases of "Romeo's romantic style", are examined and two kinds of bifurcations versus the noise intensity parameter are observed by the criteria of changes of top Lyapunov exponent and shape of stationary probability density function (PDF) respectively. The phase portraits and time history are carried out to verify the proposed results, and the good agreement can be found. And also the dual roles of the random noise, namely suppressing and inducing chaos are revealed.
KW - Control
KW - Dynamical model of love
KW - Gaussian white noise
KW - P-bifurcation
KW - Steady-state probability density
KW - The top Lyapunov exponent
UR - http://www.scopus.com/inward/record.url?scp=79959519842&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2011.03.009
DO - 10.1016/j.chaos.2011.03.009
M3 - 文章
AN - SCOPUS:79959519842
SN - 0960-0779
VL - 44
SP - 490
EP - 497
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 7
ER -