Bifurcation from a 3-D hysteresis piecewise-constant circuit

نویسندگان

  • T. Tsubone
  • K. Hoshino
  • T. Saito
چکیده

We propose a 3-D hysteresis piecewise-constant circuit. The circuit consists of linear capacitors and nonlinear voltage controlled current sources. This circuit is extremely simple, but exhibits interesting bifurcation phenomena. The righthand side of the state equation is piecewise-constant, hence the system dynamics can be simplified into a piecewiselinear return map. Using the return map, the bifurcation phenomena are clarified almost completely.

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 Four-Dimensional Plus Hysteresis Chaos Generator

This paper discusses a four-dimensional plus hysteresis autonomous chaotic circuit. The circuit dynamics is described by two symmetric four-dimensional linear equations connected to each other by hysteresis switchings. We transform the equation into Jordan form and derive theoretical formulas of its three-dimensional return map, its Jacobian matrix and its Jacobian. These formulas can be develo...

متن کامل

Rich Superstable Phenomena in a Piecewise Constant Nonautonomous Circuit with Impulsive Switching

This paper studies rich superstable phenomena in a nonautonomous piecewise constant circuit including one impulsive switch. Since the vector field of circuit equation is piecewise constant, embedded return map is piecewise linear and can be described explicitly in principle. As parameters vary the map can have infinite extrema with one flat segment. Such maps can cause complicated periodic orbi...

متن کامل

Dynamic Performance Analysis of Hysteresis Motors by a Linear Time-Varying Model

Hysteresis motors are self starting brushless synchronous motors which are being used widely due to their interesting features. Accurate modeling of the motors is crucial to successful investigating the dynamic performance of them. The hysteresis loops of the material used in the rotor and their influences on the parameters of the equivalent circuit are necessary to be taken into considerat...

متن کامل

On Fundamental. Bifurcations from a Hysteresis Hyperchaos Generator

In this paper we discuss a four-dimensional autonomous circuit which includes one hysteresis element. This circuit is governed by two symmetric three dimensional linear equat ions which are connected to each other by hysteresis switchings. Then we can derive the two-dimensional return map and show the following novel results: 1) Fundamental bifurcation diagram from periodic attractor to hyperch...

متن کامل

A Simple Chaotic Spiking Oscillator Having Piecewise Constant Characteristics

This paper studies a chaotic spiking oscillator consisting of two capacitors, two voltage-controlled current sources of signum shape and one impulsive switch. The vector field of circuit equation is piecewise constant and embedded return map is piecewise linear. Using the map parameter condition for chaos generation is given. Using a simple test circuit typical phenomena can be confirmed experi...

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 2001