非线性和复杂系统的理论 方法和应用 刘曾荣文选PDF电子书下载

第一部分 科研工作一般性介绍 3

1.1学术论文 3

1.2学术论著 22

1.3承担的主要科研项目 24

1.4国家自然科学基金委员会对研究工作的评价及获奖情况 25

1.5说明 27

第二部分 代表性论文 31

Perturbation Solution of the Weak-Nonlinear Differential Equation with δ-Function 31

Chaotic Behavior in Planar Quadratic Hamiltonian System with Periodic Perturbation 39

Phase Plane Characteristics and Dynamic Stabilities for a Spiral Sector Cyclotron 47

Discontinuous and Impulsive Excitation 55

Structure of the Attracting Set of a Piecewise Linear Henon Mapping 60

Higher-order Melnikov Method 70

A Centrosymmetric Chaos 83

The Strange Attractor of The Lozi Mapping 87

The Strange Attractor of a Kind of Two-dimensional Map and Dynamical Properties on It 100

The Measures of Sequence Complexity for EEG Studies 109

A New Method of Studying the Dynamical Behaviour of the sine-Gordon Equation 116

Information Transmission in Human Cerebral Cortex 122

Is There Chaotic Synchronization in Space Extend Systems？ 133

The Schrodinger Operator 140

On Radii of Absorbing Sets for Kuramoto-Sivashinsky Equation 149

p Dissipative Operator 160

Homochnic Orbit in ODE on GAIM of the sine-Gordon Equation 190

Constructing new Periodic Exact Solutions of Evolution Equations 196

Controlling Hyperchaos 209

Straight-line Stabilization 215

On the Persistence of Lower-dimensional Invariant Hyperbolic Ton for Smooth Hamiltonian Systems 223

A New Synchronization Principle and Application to Chua’s Circuits 238

Some Dynamical Behavior of Discrete Nagumo Equation 244

On Area-preserving Non-hyperbolic Chaotic Maps： A Case Study 254

Dynamics of Periodic Delayed Neural Networks 261

Singular Dynamics with Application to Singular Waves in Physical Problems 287

Efficient Target Strategies for Contagion in Scale-free Networks 297

A New Method to Realize Cluster Synchronization in Connected Chaotic Networks 304

From Lag Synchronization to Pattern Formation in One-dimensional Open Flow Models 319

Epidemic Spreading on Uncorrelated Heterogenous Networks with Non-uniform Transmission 328

From Lag Synchronization to Pattern Formation in Networked Dynamics 335

Synchronization of Complex Dynamical Networks via Impulsive Control 347

The Basin of Attraction of the Chen Attractor 362

Oscillatory Dynamics in a Simple Gene Regulatory Network Mediated by Small RNAs 371

Periodic Oscillation in Delayed Gene Networks with SUM Regulatory Logic and Small Perturbations 379

Mean-field Level Analysis of Epidemics in Directed Networks 403

Synchronisation Mechanisms of Circadian Rhythms in the Suprachiasmatic Nucleus 413

How Divergence Mechanisms Influence Disassortative Mixing Property in Biology 433

Emergence of Modularity and Disassortativity in Protein-protein Interaction Networks 444

An Efficient Range-free Localization Algorithm for Wireless Sensor Networks 457

Exponential Synchronization of Chaotic Systems with Time-varying Delays and Parameter Mismatches via Intermittent Control 470

The Interaction Between Multiplex Community Networks 487

Mechanisms Generating Bistability and Oscillations in MicroRNA-mediated Motifs 495

Different Water Scenarios for a Primitive Model with Two Types of Hydrogen Bonds 512

Dynamical Behaviors of Rb - E2F Pathway Including Negative Feedback Loops Involving miR449 520

Chaotifying a Continuous-time System via Impulsive Input 539

Adaptability and Sensitivity of Complex Systems 550

MicroRNA-Mediated Regulation in Biological Systems with Oscillatory Behavior 559

Destructive Extraction of Phospholipids from Escherichia coli Membranes by Graphene nanosheets 570

Chaotic Stationary Solutions of Cellular Neural Networks 585

Overexpression of DCF1 Inhibits Glioma through Destruction of Mitochondria and Activation of Apoptosis Pathway 595

Dynamic Analysis of the Combinatorial Regulation Involving Transcription Factors and microRNAs in Cell Fate Decisions 608

第三部分 挑战 629

挑战 629

结束语 655