Three-order switchable constant Lyapunov exponent spectra chaotic circuit and using method thereof

Abstract

The invention relates to a three-order switchable constant Lyapunov exponent spectra chaotic circuit and a using method thereof, wherein, the three-order switchable constant Lyapunov exponent spectrachaotic circuit comprises a single absolute value item chaotic circuit, an attractor adjusting circuit, a double absolute value item chaotic circuit, a phase inverter circuit, an amplitude adjusting circuit and a corresponding switch group; and the method comprises the steps of taking the basic constant Lyapunov exponent spectra chaotic circuit of a single absolute value item as the basis, and utilizing an absolute value arithmetic unit, a linear and nonlinear feedback branch, an adjustable power supply and a switch for constituting the switchable chaotic circuit. A phase track attraction region of the basic constant exponent spectra chaotic circuit is adjusted by switching through the switch and introducing a linear feedback item; the introduction of a nonlinear absolute value item can obtain the constant exponent spectra chaotic circuit with double absolute value items; and the amplitude adjustment of chaotic signals can be realized through the adjustable power supply, and the phasecontrol of the chaotic signals can be realized through the synchronous changes of feedback polarities of a constant item and the absolute value items. The three-order switchable constant Lyapunov exponent spectra chaotic circuit has the advantages of simple circuit, controllable amplitude and phase of the signals and abundant evolution of an attractor, thereby being widely used in chaotic radar, secure communication and fluid stirring.

Description

technical field [0001] The present invention relates to a method for constructing a switched third-order constant Lyapunov exponent spectrum chaotic circuit and a method for using it, and provides amplitude and phase adjustment methods for chaotic systems that only realize non-linear effects through absolute value items; for attractors in The phase space has multiple attractive regions, and the unstable equilibrium point has corresponding symmetry of the chaotic system. A method of adjusting the phase orbit through positive and negative linear feedback items is proposed, so as to obtain the generalized constant Lyapunov exponent of the output variable chaotic attractor Spectral chaotic system; by changing and introducing a new nonlinear absolute value feedback term, a constant exponential spectral chaotic attractor with two absolute value terms is obtained. The invention belongs to the technical fields of chaotic radar, secure communication and chaotic fluid stirring. Backgr...

AI Technical Summary

Problems solved by technology

③Switching noise will be introduced when switching between subsystems (switching transients will introduce contact and induction noise, etc.), and there is often a state memory effect, that is, the value of the state variable when one subsystem is switched will become the value of another subsystem after switching. Therefore, the initial value of the subsequent subsystem is greatly affected by the switching timing, and the rapid switching between systems will inevitably lead to unpredictable dynamic behavior of the subsystem, which has not been applied in the current switching chaotic system design. Some attention and explanation

The use of switchable third-order switching constant Lyapunov exponential spectrum chaotic circuits in chaotic radar or communication systems avoids the disadvantages of difficult circuit debugging and huge overall system, and also eliminates many other disadvantages such as instability of additional circuits

At present, there are no other reports of switching chaotic circuits whose amplitude and phase can be controlled and adjusted at will, but which maintain a constant Lyapunov exponent spectrum and attractors with many variations.

Images