Novel chaos source based on quadratic-term nonlinear effect and signal amplitude and polarity control method

A signal amplitude and polarity control technology, applied in safety communication devices, digital transmission systems, electrical components, etc., can solve the problem that state variables are not easy to adjust, and achieve the effect of controllable reduction of amplitude and polarity and simple circuit.

Inactive Publication Date: 2013-03-06
JIANGSU INST OF ECONOMIC & TRADE TECH
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Problems solved by technology

The chaotic system realized based on the nonlinear effect of the

Method used

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  • Novel chaos source based on quadratic-term nonlinear effect and signal amplitude and polarity control method
  • Novel chaos source based on quadratic-term nonlinear effect and signal amplitude and polarity control method
  • Novel chaos source based on quadratic-term nonlinear effect and signal amplitude and polarity control method

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Example Embodiment

[0024] 1 The structure and connection of a new chaotic signal source circuit based on the nonlinear effect of the quadratic term

[0025] The present invention is based on the following chaotic dynamic equations that achieve nonlinear effects through quadratic terms,

[0026] x · = x - yz , y · = - ay + xz , z · = - by - cz + xy , - - - ( 1 )

[0027] The equation contains three nonlinear cross product terms and four linear terms, and outputs a chaotic attractor with multi-wing winding. When a=2.5, b=3.75, c=1.125, the system outputs a chaotic attractor, such as figure 1 , As shown in 2. by figure 1 Different angle views of the attractor x-y-z space can be seen, the system outputs a chaotic attractor with multiple wings, figure 2 The projections of the chaotic attractor on the phase planes x-y, x-z, and y-z can be seen. The projection of the chaotic attractor on the xy plane and the projection...

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Abstract

The invention discloses a novel chaos source circuit based on quadratic-term nonlinear effect and a corresponding signal amplitude and polarity control method. The novel chaos source circuit is characterized by implementing output of a special chaos attractor by adopting a multiplying circuit consisting of three multipliers, an integration summing circuit consisting of seven resistors (including rheostats or potentiometers), three capacitors and three operational amplifiers, and an inverse-phase amplifying circuit consisting of four resistors and two operational amplifiers. The feedback intensity of product signals is partially and synchronously adjusted by the potentiometers, so that the partial and whole control on the amplitudes of output signals can be realized; and the polarities of linear feedback signals can be selectively controlled by switches, so that the polarity control on two paths of chaos signals can be realized. The partial amplitude control provided by the invention gives up the amplitude variation of a variable, and the polarity control only aims at two state variables. The novel chaos source circuit and the signal amplitude and polarity control method have the advantages of simple signal source circuit, special attractor, adjustable amplitude and controllable polarity, and can be widely applied to the fields of chaos radars, secret communication and the like.

Description

technical field [0001] The invention relates to the design of a chaotic dynamic system. The feedback input of three cross-product items is introduced, combined with the feedback input of some linear items, a complex new chaotic attractor is output. The amplitude of the generated chaotic signal can be adjusted through an adjustable resistor or potentiometer, and the polarity of the output signal of the chaotic source can be controlled through a switch to select the polarity of the feedback signal of the linear term. The invention belongs to the fields of chaotic signal source circuit design, chaotic radar, secure communication and the like. Background technique [0002] Chaotic circuits and chaotic systems have received great attention in the fields of scientific and engineering applications in the past few decades, and thus become very active research topics in the field of radar and communication. Chaotic signals often need to be enlarged or reduced in amplitude in engine...

Claims

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Application Information

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IPC IPC(8): H04L9/00
Inventor 李春彪伊浩盛・波海丽文朱利安・克林顿・斯普劳特
Owner JIANGSU INST OF ECONOMIC & TRADE TECH
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