Open AccessBifurcation and Chaos of a Discrete-Time Population Model
Author(s) -
Feng Guo,
Song Xinghao
Publication year - 2020
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2020/8474715
Subject(s) - lyapunov exponent , attractor , bifurcation , chaotic , mathematics , period doubling bifurcation , statistical physics , chaos (operating system) , population , population model , complex dynamics , nonlinear system , mathematical analysis , computer science , physics , demography , artificial intelligence , computer security , quantum mechanics , sociology
A Leslie population model for two generations is investigated by qualitative analysis and numerical simulation. For the different parameters a and b in the model, the dynamics of the system are studied, respectively. It shows many complex dynamic behavior, including several types of bifurcations leading to chaos, such as period-doubling bifurcations and Neimark–Sacker bifurcations. With the change of parameters, attractor crises and chaotic bands with periodic windows appear. The largest Lyapunov exponents are numerically computed and can verify the rationality of the theoretical analysis.