The general Mandelbrot set s fractal image was protracted with periodic classification method,and then the relationship between the Mandelbrot set s period-buds, multiplier periodic buds and bifurcation image was analyzed.
研究了复映射 f(z,c) =z-2 +c所产生的广义M集 ,利用周期分类法绘制了广义M集的分形图 ,分析了M集周期芽苞及倍周期芽苞在主轴上同分岔图的对应关系·从分岔图入手 ,通过大量计算机数学试验 ,发现了主轴上倍周期芽苞在超吸引点处符号序列的排列规律 ,给出了构造任意倍周期芽苞字提升方程的一个算法·利用二分法解字提升方程 ,得到主轴上各倍周期芽苞的超吸引点 ,发现M集倍周期芽苞在主轴上存在一个普适常数δ ,并在非主轴上进行了验证·深刻揭示了分形的自相似本质 ,为进一步研究分形的精细结构提供了有力的帮
Soliton-like and periodic-like solutions of (2+1)-dimensionalgeneralization of shallow water wave equation;
(2+1)维广义浅水波方程类孤子解和类周期解(英文)
The exercise period was similar to the previous study.
运动周期类似前面的研究。
Almost Periodic Solutions and Periodic Solutions for Several Kinds of Functional Differential Equations;
几类泛函微分方程概周期解与周期解
Periodic Solutions and Periodic Boundary Value Problems of Some Impulsive Differential Equations;
几类脉冲微分方程周期解与周期边值问题
Periodic Solution and Almost Periodic Solution of Several Kinds of Functional Differential Equations;
几类泛函微分方程的周期解与概周期解
Periodic Solutions to a Class of Higher Dimensional Periodic Systems with Deviating Arguments;
一类具偏差变元的高维周期系统的周期解
HIGHER ORDER BIFURCATION OF CRITICAL PERIODS FROM A PLANAR POLYNOMIAL SYSTEM
一类平面多项式的周期函数的高阶临界周期
The Existence of Positive Periodic Solutions for a Kind of Periodic Reaction-diffusion Equations
一类周期反应扩散方程正周期解的存在性
On the Existence of the Periodic Solution for the Nonlinear System with Multiple Delay
一类多滞量周期扰动非线性系统的周期解
Study on Periodic Solutions and Stability of Some Kinds of Ecosystem;
几类生态系统的周期解与稳定性研究
Persistence and Periodic Solutions for Several Kinds of Lotka-Volterra Systems;
几类Lotka-Volterra型系统的持续性和周期解
Multiple Periodic Solutions for a Class of Subquadratic Lagrangian Systems;
一类次二次Lagrange系统的多重周期解
Positive Periodic Solutions for a Class of Nonlinear Functional Differential Equations;
一类非线性泛函微分方程的周期正解
Existence of Positive Periodic Solutions of a Class of Non-autonomous Difference Equations;
一类非自治差分方程周期解的存在性
Periodic and Homoclinic Solutions of a Class of Hamiltonian Systems;
一类Hamilton系统的周期解与同宿轨道
The Existence of Periodic Solution of a Duffing Equation with Delay;
一类时滞Duffing型方程周期解的存在性
Existence of Periodic Solutions for a Class of Second Order Systems;
关于一类二阶系统的周期解的存在性
Existence of Periodic Solutions for a Class of Mixed System with Impulses;
一类脉冲混合系统正周期解的存在性
Existence of periodic solution for a class of first-order superquadratic Hamiltonian Systems;
一类超二次Hamilton系统的周期解的存在性
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