Three-dimensional improved Sprout-A chaotic system and circuit implementation thereof
A chaotic system, an improved technology, applied in the transmission system, digital transmission system, secure communication through chaotic signals, etc., can solve hidden dangers, security problems of encryption technology, etc.
Active Publication Date: 2020-12-29
TIANJIN UNIVERSITY OF SCIENCE AND TECHNOLOGY
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Therefore, encryption technology based on dissipative chaos has security risks in practical engineering applications
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[0017] Below in conjunction with accompanying drawing and preferred embodiment the present invention is described in further detail, see Figure 1-Figure 4 .
[0018] 1. a construction method of the Sprott-A chaotic system of three-dimensional improved type, it is characterized in that, may further comprise the steps:
[0019] (1) The improved Sprott-A chaotic system (i) is:
[0020]
[0021] where x, y, z are state variables;
[0022] (2) The circuit constructed based on system (i), is characterized in that: the circuit is made up of three channel circuits: the first channel circuit is composed of multiplier A1, DC voltage source VCC, DC voltage source VEE, operational amplifier U1A, operation Amplifier U1B is composed of resistor R1, resistor R10, resistor R2, resistor R3 and capacitor C1. The second channel circuit is composed of multiplier A2, DC voltage source VCC, DC voltage source VEE, operational amplifier U2A, operational amplifier U2B, resistor R4, resistor Com...
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The invention relates to a three-dimensional improved Sprott-A chaotic system and a circuit implementation method thereof. The circuit is composed of three channel circuits, the first channel is composed of a multiplier, a direct-current power supply, an operational amplifier, a resistor and a capacitor, and the second channel is composed of a multiplier, a direct-current power supply, an operational amplifier, a resistor and a capacitor; and the third channel is composed of a multiplier, a direct-current power supply, a battery pack, an operational amplifier, a resistor and a capacitor. According to the improved Sprott-A chaotic system with the phase volume conservation, circuit implementation of the system is provided, conservative chaos has the characteristics of broadband, pseudo-randomness, white noise phenomena, no chaotic attractor and the like, the encryption algorithm and the secret key construction form are more complex, the encryption performance is better, and therefore, conservative chaos is more suitable for the field of information encryption. Research on a conservative chaotic system is less, a Sprott-A system is typical, but the Sprott-A system has potential application in the engineering field, and the system provides a new choice for the chaotic system to be applied to 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 in practical applications. The characteristics of chaos are very sensitive to initial conditions, periodic orbit 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 "chaos cryptography", and then chaos theory began to be introduced into cryptography. At present, the information encryption technology based on chaos mainly focuses on dissipative cha...
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IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 仓诗建康志君李月
Owner TIANJIN UNIVERSITY OF SCIENCE AND TECHNOLOGY