NDLI: Bifurcation of Limit Cycles for a Quintic System

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2012 Fifth International Workshop on Chaos-fractals Theories and Applications

2011 Fourth International Workshop on Chaos-Fractals Theories and Applications

2010 International Workshop on Chaos-Fractal Theories and Applications

Table of Contents

Program and Organizing Committees

Lag Synchronization of Delayed Chaotic Systems Using Neural Network-Based Sliding-Mode Control

Finite-Time Synchronization of Non-autonomous Chaotic Systems with Unknown Parameters

Modified Projective Synchronization of Oscillating Circuit with Random Parameter

Chaos Synchronization Between Two Stochastic Lorenz-family Systems

Pinning Synchronization of Directed Complex Dynamical Networks with Multi-links

Impulsive Synchronization for Reaction-Diffusion System

Hybrid Synchronization of Hyperchaotic Lü System Based on Passive Control

Generalized Synchronization of Complex Dynamical Networks with Different Nodes and Different Orders

Chaos Control and Synchronization of a New Chaotic System

Generalized Function Projective Synchronization of a Class of Delayed Chaotic Systems

Adaptive Anti-synchronization of Cai Chaotic Systems with Fully Unknown Parameters

Synchronization Analysis in Local-Interaction Networks with Time-Varying Delays

A Note on the Exact Solutions of a Nonlinear Diffusion-Convection Equation

Monotone Traveling Wave Solution for a Delayed Reaction-Diffusion Equations

Hopf Bifurcation Analysis and Control of a Ratio-Dependent PredatorPrey Model of Holling IV Type with Time Delayed Feedback

Scalar Feedback Control in a Chaotic Prey-Predator System

New Estimations of Globally Exponentially Attractive Sets and Synchronization Controlling of a Class of Chaotic Finance Systems

The Chaos Anti-control in the Willamowski-Rössler Reaction

Generation of Hyperchaotic Chua System via State Feedback Control

Study on a New Chaos Method to Line Spectra Reduction and Amplitude Attenuation

Lag, Complete and Anticipated Control of the No-automatic System and Modified Chua Circuit

Chaos Control in Duffing-Van Der Pol System

Sliding Mode Control of Fractional-order Hyperchaotic Systems

Coordinated Control of Multi-agent Dynamical Systems under Switched Network Topology

Chaotifing Duffing-type System with Large Parameter Range Based on Optimal Time-Delay Feedback Control

Control of Chaotic Behavior in Stochastic Forced Brusselator

Synthesizing Chaotic Systems with Genetic Programming

Irrational-Based Cryptosystem

A Chaotic Image Scrambling Scheme Based on Sorting Transformation

Implementation of LT Codes with a Revised Robust Soliton Distribution by Using Kent Chaotic Map

The Optimization Scheme of Chaotic Masking Secure Communication Based on Lorenz System

E-mail Encryption Based on Dual Chaotic Map

Image Encryption through a Novel Permutation-Substitution Scheme Based on Chaotic Standard Map

An Image Encryption Algorithm Utilizing Mandelbrot Set

Chaos and Its Communication Application of Fractional-order Neutral Differential System

Cryptanalysis and Improvement on a Block Encryption Algorithm Based on Dynamic Sequences of Multiple Chaotic Systems

Subsystems and Glider Dynamics of Hyper Bernoulli CA Rule 26

Glider Dynamics and Topological Dynamics of Bernoulli-shift Rule 61

A Novel One Equilibrium Hyper-chaotic System and Its Bifurcation Analysis

Analysis and Circuit Implementation of a Three-Wing or Four-Wing Chaotic Attractor

A 3D Chaotic Oscillator's Stability and Chaos Behavior

Multi-wing Butterfly Attractors in Lü System

Boolean Networks: Coding, Linearizing and Dynamics

Using Poincare Sections Study on Sensitivity to Parameters and Initial Conditions for Chaotic Circuit

Estimating the Ultimate Bounds and Positively Invariant Sets for a Class of General Lorenz-type New Chaotic Systems

Exact Travelling Wave Solutions and the Bifurcation for Nonlinear Evolution Modified ZK Equation

The Study of One-Dimensional Cellular Automata with Nearest-Nearest Neighborhoods

Comparison Inequalities for Nonlinear Fractional-Order Systems

The Bifurcation Analysis of Digital Chaos Circuit and Its Application

Alternative Attractors and Regime Shift in a Stochastic Logistic Model

An Auto-switched Chaos System and Circuit Implementation

A New Four-Wing Hyper-chaotic Attractor and Its Circuit Implementation

Bifurcations of Periodic Solutions in Duffing-Van Der Pol System

Bifurcation of Limit Cycles for a Quintic System

Dynamics of the Coupled Lorenz-Rössler Systems

Numerical and Experimental Research on Dynamics of Two DOF Vibration System with Piecewise Stiffness

The Generation and Circuit Implementation of a Hyperchaos with Four-Wing

Study on Arc Chaos for SF6 Circuit Breaker Based on Coupled Physical Field Simulation

A Parallel Algorithm for Approximating One Dimensional Unstable Manifold of Discrete Dynamical Systems

Bursting and Mode Transitions in Coupled Nonidentical Modified Morris-Lecar Neurons

Almost Periodic Mild Solutions to a Class of Fractional Delayed Differential Equations

Chaos and Bifurcations of the Fractional-order Unified System

On the Non-equivalence of Lü System and Lorenz System

Chemical Connection Induced Firing Pattern Transition in Coupled Chaotic Neuron System

Libration Point Orbits and Its Invariant Manifolds Structure

Global Bifurcation for a Predator-Prey Model with Ivlev Functional Response

Chaos and Control of Nonlinear Dynamic Model in the Ecological System

Global Attractors and Chaos of Complex Bernoulli-shift Rules

Dynamical Behaviors of a Three Species Food Chain System with Time Delayed Harvesting

Application of Parallel RBF Network on Iterative Prediction of Chaotic Time Series

Bifurcation and Chaos Analysis for a Lotka-Volterra System with Time Delay

Chaos in a New Kind of Stochastic Brain Waves Model

A Chaotic Time Series Prediction Method Based on Fuzzy Neural Network and Its Application

Dynamical Mechanisms of Glycolytic Oscillations in Ventricular Myocytes

Spreading of Epidemics on Scale-Free Networks with Traffic Flow

Distinguishing Mineralized Intensity Based on Lacunarity Index of Au Element Grade

Energetic Relationships in a Driven Bistable System

The Computation of Two-Dimensional Manifold for Hindmarsh-Rose Neuron Model

Consensus Analysis of the Multi-agent System

Noise Effects on the Firing Behavior of FitzHugh-Nagumo Neuron

Analysis and Comparing of the Complexity Distributions of Precipitation in Two Typical Regions in Changing Environment, China

The Chaos Analysis of the Unbalanced International Trade at the Later Stage of the Global Financial Crisis

Scale-free Network with Variable Scaling Exponent

Topology of a Modified Extended BA Model

Research on Optimal Interpolation Times of Nonlinear Time-Series Using Metric Entropy and Fractal Interpolation

Generalized Mandelbrot Sets and Julia Sets for Non-analytic Complex Maps

Modelling Flow Trajectories Using Fractional Brownian Motion

Forest Fire Image Segmentation Based on Contourlet Transform and Fractional Brownian Motion

Fractal Co-integration of RMB Exchange Rate and China's Stock Price

The Design of a Fractal-based Number Generator

Fractal Theory and Its Application in Studying the Feature of Landforms

Feature Analysis Mechanical Fault Signals Based on Correlation Dimension and Complexity

Study on Fractal Characteristics of Particle Size Distribution Function for Modified-Brown Coal

Generation of Koch Curve with Unitary Regulation of L System and Its Applications

Formal Development of Non-recursive Algorithm for Koch Curve

Fractal-Research on the Complex Carry System and Its Decimal Set

Network Traffic Prediction Based on Multifractal MLD Model

Hausdorff Dimension of Besicovitch Type Subsets of a Class of Self-Affine Set

The Quadratic Time-Varying Hausdorff and Large Deviation Multifractal Spectrum of Stochastic Fractal Signal

The Legendre Multifractal Spectrum Distribution Based on WTMM

Fractal Color Image Coding Based on Isosceles Triangle Segmentation

Face Detection Based on Fractal and Complexion Model in the Complex Background

Publisher Information

2009 International Workshop on Chaos-Fractals Theories and Applications

Bifurcation of Limit Cycles for a Quintic System

Content Provider	IEEE Xplore Digital Library
Author	Xiao-Chun Hong
Copyright Year	2010
Abstract	Bifurcation of limit cycles for a quintic system is investigated using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the quintic system. The study reveals that the quintic system has 8 limit cycles using detection function approach, and two different distributed orderliness of 8 limit cycles for the quintic system are shown. By using method of numerical simulation, these limit cycles are observed and their nicety places are determined. The study also indicates that each of these limit cycles passes the corresponding nicety point. The results presented here are helpful for further investigating the Hilbert's 16th problem.
Starting Page	266
Ending Page	270
File Size	680562
Page Count	5
File Format	PDF
ISBN	9781424488155
DOI	10.1109/IWCFTA.2010.88
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-10-29
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Chaos Limit-cycles Detection function Bifurcation Numerical exploration Orbits Polynomials Fractals Quintic system Limit cycle
Content Type	Text
Resource Type	Article

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