Generation of a New Three Dimension Autonomous Chaotic Attractor and its Four Wing Type

Journal Title: Engineering, Technology & Applied Science Research - Year 2013, Vol 3, Issue 1

Abstract

In this paper, a new three-dimension (3D) autonomous chaotic system with a nonlinear term in the form of a hyperbolic sine (or cosine) function is reported. Some interesting and complex attractors are obtained. Basic dynamical properties of the new chaotic system are demonstrated in terms of Lyapunov exponents, Poincare mapping, fractal dimension and continuous spectrum. Meanwhile, for further enhancing the complexity of the topological structure of the new chaotic attractors, the attractors are changed from two-wing to four-wing through making axis doubly polarized, theoretically analyzed and numerically simulated. The obtained results clearly show that the chaotic system deserves further detailed investigation.

Authors and Affiliations

F. Yu, C. Wang

Keywords

Related Articles

Effect of Time, Solvent-Solid Ratio, Ethanol Concentration and Temperature on Extraction Yield of Phenolic Compounds From Olive Leaves

This study aims to determine the factors affecting the process of extraction of phenolic compounds from olive leaves. Two methods of extraction were used in this work and different tests were implemented with the aim of...

3D-CFD Simulation of Confined Cross-Flow Injection Process Using Single Piston Pump

Injection process into a confined cross flow is quite important for many applications including chemical engineering and water desalination technology. The aim of this study is to investigate the performance of the injec...

A Numerical Proof of Concept for Thermal Flow Control

In this paper computational fluid dynamics is used to provide a proof of concept for controlled flow separation using thermal wall interactions with the velocity boundary layer. A 3D case study is presented, using a tran...

On the Use of a 77 GHz Automotive Radar as a Microwave Rain Gauge

The European Telecommunications Standards Institute (ETSI) defines the frequency band of 77 GHz (W-band) as the one dedicated to automatic cruise control long-range radars. A car can be thought as a moving integrated wea...

Modeling of Fatigue Crack Propagation in Aluminum Alloys Using an Energy Based Approach

Materials fatigue is a particularly serious and unsafe kind of material destruction. Investigations of the fatigue crack growth rate and fatigue life constitute very important and complex problems in mechanics. The under...

Download PDF file
  • EP ID EP88996
  • DOI -
  • Views 253
  • Downloads 0

How To Cite

F. Yu, C. Wang (2013). Generation of a New Three Dimension Autonomous Chaotic Attractor and its Four Wing Type. Engineering, Technology & Applied Science Research, 3(1), -. https://europub.co.uk/articles/-A-88996