位置：成果数据库 > 期刊 > 期刊详情页
基于复合胞化空间的图胞映射方法
  • 期刊名称：物理学报，2008年，57卷，4021-4028
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学] G633.55[文化科学—教育学]
  • 作者机构：[1]西北工业大学理学院成用数学系,西安710072
  • 相关基金：国家自然科学基金（批准号：10502042）资助的课题.
  • 相关项目：非线性随机复动力学系统的分岔与混沌控制研究
关键词： 图胞映射方法, 迭代方法, HENON映射, digraph cell mapping method, iterative algorithm, Henon map
中文摘要：

为了提高计算的准确性和效率,通过引入复合胞化空间概念,构建了一种迭代的图胞映射方法.该方法能够对任意感兴趣的空间区域进行细化处理,细化过程采用代数运算完成不会额外增加计算机内存且能保持细化前后图动力系统性质不变.为了便于计算机实施,也给出了相应的有效算法.通过对典型例子Henon映射的应用分析,证实了该方法的有效性.

英文摘要：

In order to improve the accuracy and efficiency,an iterative digraph cell mapping method is presented through introducing the notion of composite cell space. This iterative method can refine any interesting region of cell state space. Because the refining process is performed by algebraic operation, the computer memory does not be increased additionally. Furthermore, the digraph dynamical properties can be preserved in the refining process. In order to implement it easily, an effective algorithm is designed. As an example,the Henon map is taken to demonstrate the validity and efficiency of this method.

同期刊论文项目
非线性随机复动力学系统的分岔与混沌控制研究
期刊论文 73 获奖 2
同项目期刊论文
Stochastic resonance in a bistable system with linear time-delayed feedback loops
Synchronization of two different chaotic systems with unknown parameters
一类广义Boussinesq 方程和Boussinesq-Burgers 方程新的显式精确解,
Bifurcation and Chaos in a Macroeconomic Model
Influences of time delay and noise on the chaotic motion of a bistable system
Impulsive control of a class of vibro-impact systems
Stochastic stability and bifurcation in a macroeconomic model
ACTIVE CONTROL AND GLOBAL SYNCHRONIZATION OF THE COMPLEX CHEN AND LU SYSTEMS
Approximate stationary solution and stochastic stability for?a?class of differential equations with
THE CONTROL OF STOCHASTIC COMPLEX DAMPED NONLINEAR SYSTEMS.
On a complex Duffing system with random excitation.
The study on a stochastic system with non-Gaussian noise and Gaussian colored noise
Solitary and periodic traveling wave solutions for a class of coupled nonlinear Klein–Gordon equatio
Extended rotation and scaling groups for nyuhonlinear diffusion equations
BASIC PROPERTIES AND CHAOTIC SYNCHRONIZATION OF COMPLEX LORENZ SYSTEM
Adaptive scheme for time-varying anticipating synchronization of certain or uncertain chaotic dynami
Bifurcation analysis of travelling wave solutions in the nonlinear Klein-gordon model with anharmoni
Bifurcations of traveling wave solutions for Zhiber-Shabat equation.
Complete synchronization between two bi-directionally coupled chaotic systems via an adaptive feedba
Stochastic responses of vibro-impact dufing oscillator excited by additive Gaussian noise
Mean first-passage time of an asymmetric kinetic model driven by two different kinds of colored nois
Complete synchronization of uncertain chaotic dynamical network via a simple adaptive control
The effect of noise on the complete synchronization of two bidirectionally coupled piecewise linear
广义Degasperis-Proces方程的非解析行波解
On Stochastic Complex Beam-Beam Interaction Models with Gaussian Colored Noise.
Analysis of chaotic behavior in the extended Duffing–Van der Pol system subject to additive non-symm
关联噪声驱动非对称双稳系统的MFTP
New families of travelling wave solutions for Boussinesq- Burgers equation and (3+1)-dimensional Kad
A general method for chaos synchronization and parameters estimation between different systems
Smooth and Non-Smooth Travelling Wave Solutions of Generalized Degasperis-Procesi equation
Bifurcations of traveling wave solutions for a generalized Sinh- Gordon equation.
Separation of variables and exact solutions to nonlinear diffusion equations with x-dependent convec
Shock wave solutions of the compound Burgers-Korteweg-de Vries equation
基于低通滤波函数实现陀螺系统的反馈控制.
Synchronization of two chaotic four-dimensional systems using active control.
Travelling wave solutions in a class of generalized Korteweg-deVries equation.
有界噪声和谐和激励联合作用下一类非线性系统的混沌研究.
Stochastic resonance in an asymmetric bistable system with coloured noises and periodic rectangular
An algebraic method with computerized symbolic computation for the one-dimensional generalized BBM e
A series of explicit and exact travelling wave solutions of the B(m,n) equations
Adaptive complete synchronization of chaotic dynamical network with unknown and mismatched parameter
Transient properties of a bistable system with delay time driven by non-Gaussian and Gaussian noise:
New explicit travelling wave solutions of nonlinearly dispersive Boussinesq equations
The study on stationary solution of a stochastically complex dynamical system.
Travelling wave solutions to Zufiria’s higher-order Boussinesq type equations
New scheme of anticipating synchronization for arbitrary anticipation time and its application tolon
图胞映射的一种改进方法
一类约瑟夫森结混沌系统的谐和共振控制
基于低通滤波函数实现陀螺系统的反馈控制
有界噪声和谐和激励联合作用下一类非线性系统的混沌研究
一类广义Boussinesq方程和Boussinesq-Burgers方程新的显式精确解
色噪声驱动的双奇异随机系统随时间演化的熵变化率上界
参数未知的不同阶数混沌系统广义同步及参数估计
异结构系统混沌同步的新方法
随机Duffing单边约束系统的倍周期分岔
非线性扩散方程的精确解
广义Degasperis—Proces方程的非解析行波解
Complete synchronization between two bi-directionally coupled chaotic systems via an adaptive feedback controller
Invariant Sets and Exact Solutions to Nonlinear Diffusion Equations with x-Dependent Convection and Absorption
Transient Properties of a Bistable System with Delay Time Driven by Non-Gaussian and Gaussian Noises： Mean First-Passage Time
区间平均运算模型柔性化的研究
Mean first-passage time of an asymmetric bistable system driven by colour-correlated noise
Carnot群上的Hopf-Lax型公式
New scheme of anticipating synchronization for arbitrary anticipation time and its application to long-term prediction of chaotic states
Exact Solutions and Invariant Sets to General Reaction-Diffusion Equation
一个经济周期模型的稳定性及其近似解