Domain of attraction of hysteresis-series based chaotic attractors

نویسندگان

  • Xinghuo Yu
  • Fengling Han
  • Yong Feng
  • Guanrong Chen
چکیده

This paper discusses the domain of attraction and its sensitivity for a class of chaotic attractors generated by using second-order linear systems with hysteresis-series. It is found that the domain of attraction of the chaotic attractors is determined by an unstable limit cycle. The chaotic dynamical behaviors are demonstrated by using the Poincaré map. The sensitivity of the domain of attraction with respect to the system parameters is studied and some simulation results are presented.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A New Way of Generating Grid-Scroll Chaos and Its Application to Biometric Encryption

A new circuit design is proposed for generating grid-scroll chaos in the phase plane by using a second-order linear system with a control of double-hysteresis series. The double-hysteresis series is constructed in a systematic way by using the basic double-hysteresis building blocks. With the proposed scheme, the number of scrolls can be arbitrarily assigned, and the multi-scroll chaotic attrac...

متن کامل

Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system

This Letter initiates a hysteresis series switching approach for generating multi-directional multi-scroll chaotic attractors from a threedimensional linear autonomous fractional differential system, including 1-D n-scroll, 2-D (n×m)-grid scroll, and 3-D (n×m× l)-grid scroll chaotic attractors. The underlying dynamical mechanisms of a fractional differential hysteresis system are then further i...

متن کامل

Design of 3-D Multi-Scroll Chaotic Attractors via Basic Circuits

This paper briefly reviews the main advances in the design of 3-D multi-scroll chaotic attractors via basic circuits. It includes the step circuit method, hysteresis circuit approach, and saturated circuit method.

متن کامل

A New Public-Key Encryption Scheme Based on Neural Networks and Its Security Analysis

A new public-key Encryption scheme based on chaotic attractors of neural networks is described in the paper. There is a one-way function relationship between the chaotic attractors and their initial states in an Overstoraged Hopfield Neural Networks (OHNN), and each attractor and its corresponding domain of attraction are changed with permutation operations on the neural synaptic matrix. If the...

متن کامل

NARX prediction of some rare chaotic flows: Recurrent fuzzy functions approach

The nonlinear and dynamic accommodating capability of time domain models makes them a useful representation of chaotic time series for analysis, modeling and prediction. This paper is devoted to the modeling and prediction of chaotic time series with hidden attractors using a nonlinear autoregressive model with exogenous inputs (NARX) based on a novel recurrent fuzzy functions (RFFs) approach. ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004