A three-dimensional improved sprott-a chaotic system and its circuit implementation
A chaotic system and an improved technology, applied in transmission systems, digital transmission systems, secure communication through chaotic signals, etc., can solve the problems of security and hidden dangers in encryption technology
Active Publication Date: 2022-08-02
TIANJIN UNIV OF SCI & TECH
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Therefore, encryption technology based on dissipative chaos has security risks in practical engineering applications
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[0017] The present invention will be further described in detail below with reference to the accompanying drawings and preferred embodiments. Figure 1-Figure 4 .
[0018] 1. a construction method of the Sprott-A chaotic system of a three-dimensional improved type, is characterized in that, comprises the following steps:
[0019] (1) The improved Sprott-A chaotic system (i) is:
[0020]
[0021] where x, y, z are state variables;
[0022] (2) A circuit constructed based on system (i), characterized in that: the circuit consists of three channel circuits: the first channel circuit consists of a multiplier A1, a DC voltage source VCC, a DC voltage source VEE, an operational amplifier U1A, an operational amplifier Amplifier U1B is composed of resistor R1, resistor R10, resistor R2, resistor R3 and capacitor C1. The second channel circuit consists of multiplier A2, DC voltage source VCC, DC voltage source VEE, operational amplifier U2A, operational amplifier U2B and resistor ...
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The invention relates to a three-dimensional improved Sprott-A chaotic system and its circuit realization. The circuit is composed of three channel circuits: the first channel is composed of a multiplier, a DC power supply, an operational amplifier, a resistor and a capacitor, and the second channel The circuit consists of a multiplier, a DC power supply, an operational amplifier, and resistors and capacitors, and the third channel consists of a multiplier, a DC power supply, a battery pack, an operational amplifier, and resistors and capacitors. The invention proposes an improved Sprott-A chaotic system with phase volume conservation, and gives the circuit realization of the system. Conservative chaos has the characteristics of broadband, pseudo-randomness, white noise and no chaotic attractor. The structure of encryption algorithm and key is more complicated, and the encryption performance is better, so conservative chaos is more suitable for the field of information encryption. There are few studies on conservative chaotic systems, such as the Sprott-A system, but it has potential applications in the engineering field. This system provides a new option for chaotic systems to be applied in engineering practice.
Description
technical field [0001] The invention relates to a system and circuit realization capable of generating conservative chaotic flow, in particular to a three-dimensional improved Sprott-A chaotic system and its circuit realization. Background technique [0002] Since Lorenz discovered the butterfly-shaped chaotic attractor in the atmospheric dynamical system model in 1963, chaos has not only made great progress in theoretical research, but also made great progress in practical application. The characteristics of chaos are very sensitive to initial conditions, periodic orbital density and topological mixing. These characteristics have great application value in practical engineering, especially in the fields of chaotic cryptography and encrypted communication. In the late 1980s, Matthews first proposed the concept of "chaotic cryptography", and then chaos theory began to be introduced into cryptography. At present, the information encryption technology based on chaos mainly foc...
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IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 仓诗建康志君李月
Owner TIANJIN UNIV OF SCI & TECH