Different-dimensional switchable chaotic system design method and circuit

Abstract

The invention relates to a different-dimensional switchable chaotic system design method and a circuit; a four-dimensional hyper-chaos system is constructed by adding variables and feeding back control items based on a three-dimensional generalized Lorenz system family; and a switchable different-dimensional chaotic circuit is designed through a plurality of switch controllers in Multisim software. An analog circuit constructed by the invention is convenient to use and easy to realize by hardware, and has relatively lower cost; the designed switchable circuit not only can flexibly realize the switching between a three-dimensional chaotic system and the four-dimensional hyper-chaos system, but also can return to realize the switch among three chaotic systems in the same dimension; and the systems can serve as practical chaotic modulation and chaotic encryption signals, and can be widely applied to the field of information security cryptography with higher requirements on confidentiality and reliability.

Description

technical field [0001] The invention belongs to the chaotic synchronous control technology in nonlinear dynamics, in particular to the field of digital random sequence cryptography in information security cryptography. Background technique [0002] The Lorenz equation is the first chaotic model, and it becomes an example of later chaos research. The number of positive Lyapunov exponents of the classical low-dimensional chaotic system is small, and the complexity of the system is not enough. In the actual application, it will be limited by the narrow bandwidth. The hyperchaotic system proposed by the feedback extended system dimension has two or more positive Lyapunov exponents, the phase space trajectory is separated in more directions, and its dynamic behavior is more complex, which can better meet the requirements of spread spectrum and confidentiality. Communication, radar synchronous control and other aspects of practical needs. In recent years, researchers have carrie...

AI Technical Summary

Problems solved by technology

However, in the literature, the switch of the nonlinear term is controlled by the switch selector to realize the switching of the chaotic circuit, and it is only switched between two three-dimensional chaotic circuits. The chaotic signal generated by the switching circuit is limited, and different dimensions cannot be realized. Switching Between Chaotic System and Hyperchaotic System Circuits

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