北京林业大学学报2012，Vol.34Issue(1)：110-114,5.
“森林—竹子—大熊猫”非线性动力系统的周期解与混沌奇怪吸引子
Periodic solutions and chaos strange attractors of nonlinear dynamic system on ＂forest-bamboo-giant panda＂
摘要
Abstract
In order to study the trinity of habitat protection of ＂forest-bamboo-giant panda＂ theoretically,taking into account the effects of bamboo flowering,the bamboo and forest were divided into two stage structures,and a nonlinear dynamic model was established to describe the system ＂forest-bamboo-giant panda＂.The existence of periodic solutions of the dynamic model can be proved by the Mawhin coincidence degree.Using numerical simulations,the periodic solutions and phase diagrams of the dynamic system were given.Results show that the impact of the pulse is very complex.Furthermore,a new chaotic strange attractor of this model is found,and the ecological significance of these results means that the system including giant panda,forests and staple food bamboo is stable,which will promote the protection of giant panda habitat and other similar endangered species.关键词
非线性动力系统/大熊猫/周期解/混沌奇怪吸引子Key words
nonlinear dynamic system/giant panda/periodic solution/chaos strange attractors分类
数理科学引用本文复制引用
桂占吉,程艳霞,宋国华..“森林—竹子—大熊猫”非线性动力系统的周期解与混沌奇怪吸引子[J].北京林业大学学报,2012,34(1):110-114,5.基金项目
国家自然科学基金项目 （）
