非线性和复杂系统的理论、方法和应用——刘曾荣文选

第一部分科研工作一般性介绍

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

PerturbationSolution of the WeakNonlinear Differential Equation with δFunction31

ChaoticBehavior in Planar Quadratic Hamiltonian System with Periodic Perturbation39

Phase PlaneCharacteristics and Dynamic Stabilities for a Spiral Sector Cyclotron47

Discontinuousand Impulsive Excitation55

Structure ofthe Attracting Set of a Piecewise Linear Hnon Mapping60

HigherorderMelnikov Method70

ACentrosymmetric Chaos 83

The StrangeAttractor of The Lozi Mapping87

The StrangeAttractor of a Kind of Twodimensional Map and Dynamical Properties on It100

The Measuresof Sequence Complexity for EEG Studies109

A New Methodof Studying the Dynamical Behaviour of the sineGordon Equation 116

InformationTransmission in Human Cerebral Cortex122

Is ThereChaotic Synchronization in Space Extend Systems?133

TheSchrdinger Operator140

On Radii ofAbsorbing Sets for KuramotoSivashinsky Equation149

p DissipativeOperator160

HomoclinicOrbit in ODE on GAIM of the sineGordon Equation190

Constructingnew Periodic Exact Solutions of Evolution Equations196

ControllingHyperchaos209

StraightlineStabilization215

On thePersistence of Lowerdimensional Invariant Hyperbolic Tori for SmoothHamiltonian

Systems223

A NewSynchronization Principle and Application to Chuas Circuits238

Some DynamicalBehavior of Discrete Nagumo Equation244

OnAreapreserving Nonhyperbolic Chaotic Maps: A Case Study254

Dynamics ofPeriodic Delayed Neural Networks261

SingularDynamics with Application to Singular Waves in Physical Problems287

EfficientTarget Strategies for Contagion in Scalefree Networks297

A New Methodto Realize Cluster Synchronization in Connected Chaotic Networks304

From LagSynchronization to Pattern Formation in Onedimensional Open Flow Models319

EpidemicSpreading on Uncorrelated Heterogenous Networks with Nonuniform Transmission

328

From LagSynchronization to Pattern Formation in Networked Dynamics335

Synchronizationof Complex Dynamical Networks via Impulsive Control347

The Basin ofAttraction of the Chen Attractor362

OscillatoryDynamics in a Simple Gene Regulatory Network Mediated by Small RNAs371

PeriodicOscillation in Delayed Gene Networks with SUM Regulatory Logic and Small

Perturbations379

MeanfieldLevel Analysis of Epidemics in Directed Networks403

SynchronisationMechanisms of Circadian Rhythms in the Suprachiasmatic Nucleus413

How DivergenceMechanisms Influence Disassortative Mixing Property in Biology433

Emergence ofModularity and Disassortativity in Proteinprotein Interaction Networks444

An EfficientRangefree Localization Algorithm for Wireless Sensor Networks457

ExponentialSynchronization of Chaotic Systems with Timevarying Delays and

ParameterMismatches via Intermittent Control470

TheInteraction Between Multiplex Community Networks487

MechanismsGenerating Bistability and Oscillations in MicroRNAmediated Motifs495

DifferentWater Scenarios for a Primitive Model with Two Types of Hydrogen Bonds512

DynamicalBehaviors of RbE2F Pathway Including Negative Feedback Loops Involving

miR449520

Chaotifying aContinuoustime System via Impulsive Input539

Adaptabilityand Sensitivity of Complex Systems550

MicroRNAMediatedRegulation in Biological Systems with Oscillatory Behavior559

DestructiveExtraction of Phospholipids from Escherichia coli Membranes by Graphene

nanosheets570

ChaoticStationary Solutions of Cellular Neural Networks585

Overexpressionof DCF1 Inhibits Glioma through Destruction of Mitochondria and Activation

of ApoptosisPathway595

DynamicAnalysis of the Combinatorial Regulation Involving Transcription Factors and

microRNAs inCell Fate Decisions608

第三部分挑战

挑战629