| “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 |
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| 引用本文： | 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. |
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| 作者姓名： | 桂占吉 程艳霞 宋国华 |
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| 作者单位： | 1 海南师范大学数学与统计学院2 北京林业大学理学院3 北京建筑工程学院理学院 |
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| 基金项目： | 国家自然科学基金项目(60963025) |
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| 摘 要： | 为从理论上研究＂森林—竹子—大熊猫＂三位一体的保护栖息地理念,考虑了竹子开花的影响,把竹子和森林分成两个阶段,建立了一个描述＂森林—竹子—大熊猫＂的非线性动力系统。利用Mawhin重合度理论可以证明此系统存在一个周期解,利用计算机数值模拟画出了此动力系统的周期解随时间的变化规律和相图。数值模拟显示脉冲的影响非常复杂,进...
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| 关 键 词： | 非线性动力系统 大熊猫 周期解 混沌奇怪吸引子 |
| 收稿时间： | 1900-01-01 |
Periodic solutions and chaos strange attractors of nonlinear dynamic system on "forest-bamboo-giant panda" |
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| GUI Zhan-ji,CHENG Yan-xia,SONG Guo-hua.Periodic solutions and chaos strange attractors of nonlinear dynamic system on "forest-bamboo-giant panda"[J].Journal of Beijing Forestry University,2012,34(1):110-114. |
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| Authors: | GUI Zhan-ji CHENG Yan-xia SONG Guo-hua |
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| Institution: | 1 School of Mathematics and Statistics, Hainan Normal University, Haikou, 571158, P.R. China； 2 School of Science, Beijing Forestry University, 100083, P.R. China; 3 School of Science, Beijing University of Civil Engineering and Architecture, 100044, P.R. China. |
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| 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. |
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| Keywords: | nonlinear dynamic system giant panda periodic solution chaos strange attractors |
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