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Multi-stability chaotic system with discrete bifurcation diagram

A chaotic system, multi-stability technology, applied in transmission systems, digital transmission systems, secure communication through chaotic signals, etc., can solve problems such as complex dynamic behavior, and achieve the effect of simple structure

Pending Publication Date: 2020-03-20
HARBIN ENG UNIV
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  • Description
  • Claims
  • Application Information

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Problems solved by technology

Introducing memristors with various nonlinear characteristics into a classical chaotic circuit can easily construct a new chaotic circuit, and its dynamic behavior is more complex than that of the original chaotic system.

Method used

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  • Multi-stability chaotic system with discrete bifurcation diagram
  • Multi-stability chaotic system with discrete bifurcation diagram
  • Multi-stability chaotic system with discrete bifurcation diagram

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Embodiment Construction

[0022] The present invention will be further described below in conjunction with the drawings.

[0023] The technical problem to be solved by the present invention is to design a multi-stability chaotic system with discrete bifurcation graph, and implement it with hardware circuit.

[0024] In order to solve the above technical problems, the present invention provides a multi-stability chaotic system with discrete bifurcation graphs, and designs corresponding hardware circuits, the structure of which is as follows:

[0025] The main circuit is figure 1 Shown, including: integration channel one, integration channel two, integration channel three and integration channel four. Integral channel one has 3 input terminals, 1 "v x ", 1 "v y "And 1 "v z ", respectively through the inverter and multiplier, and then through the integrator and finally output "v x "; Integral channel two has 4 input terminals, respectively 2 "-v x ", 1 "v y "And 1 "v z ", first through the multiplier and memrist...

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Abstract

The invention belongs to the field of electronic communication, and particularly relates to a multi-stability chaotic system with a discrete bifurcation diagram, which is provided with the discrete bifurcation diagram and a constant Lyapunov exponential spectrum and can generate two infinite coexistence attractors which have different structures and are distributed in parallel along a fourth axis.The system comprises a three-dimensional chaotic circuit and a memristor, and is characterized in that the three-dimensional chaotic circuit and the memristor are transformed into a new four-dimensional memristor chaotic system, and the four-dimensional memristor chaotic system is composed of a reverse operation module, an addition operation module, an integration operation module and the like which are formed based on an operational amplifier and a resistor or a capacitor, and an analog multiplier module. The multi-stability chaotic system with the discrete bifurcation diagram is simple in structure, can generate two infinite coexistence attractors which are different in structure and are distributed in parallel along a fourth axis, has the discrete bifurcation diagram, and further has aconstant Lyapunov exponential spectrum.

Description

Technical field [0001] The invention belongs to the field of electronic communication, and specifically relates to a discrete bifurcation graph and a constant Lyapunov exponent spectrum, which can generate two infinitely many coexisting attractors with different structures and distributed in parallel along the fourth axis. Multi-stability chaotic system. Background technique [0002] Chaos refers to the random behavior produced by a deterministic system. From a philosophical point of view, chaos is the unity of certainty and randomness. The chaotic signal has the characteristics of inherent randomness, initial value sensitivity, ergodicity and boundedness. It can produce a wideband signal similar to white noise. It has a wide range of applications in the fields of information encryption, secure communication and chaotic radar. The chaotic signal source is an important part of all kinds of chaotic application systems. The research and development of a new type of chaotic signal ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 黄丽莲姚文举孙怡张泽峰
Owner HARBIN ENG UNIV
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