Method and circuit for switching Lorenz type chaotic system provided with different fractional orders and x2
A fractional order switching system technology, applied to digital transmission systems, transmission systems, electrical components, etc., can solve the problems of increasing the switching type of chaotic systems, and the chaotic system has not been proposed.
Inactive Publication Date: 2015-07-08
SICHUAN UNIV
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[0002] At present, the existing methods and circuits for switching chaotic systems mainly include the switching between different linear items or nonlinear items in the chaotic system, and the fractional order form based on these two switching modes. Regarding the fractional order chaos of different orders The switching method and circuit of the system have not been proposed yet, and the present invention proposes a method containing x with different fractional orders 2 The method and circuit of the Lorenz type chaotic switching system, the present invention proposes a new switching method and circuit of a new type of chaotic system, which provides a new idea for increasing the type of switching of the chaotic system and applying the chaotic system to engineering practice
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[0030] Below in conjunction with accompanying drawing and preferred embodiment the present invention is described in further detail, see Figure 1-Figure 2 .
[0031] 1. A fraction containing x with different fractional orders 2 The Lorenz type chaotic switching system method is characterized in that, comprising the following steps:
[0032] (1) containing x 2 The equation of the Lorenz type chaotic system i is:
[0033] dx / dt = a ( y - x ) dy / dt = bx + cy - xz i ...
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The invention provides a method and circuit for switching a Lorenz type chaotic system provided with different fractional orders and x2. An operational amplifier U1, an operational amplifier U2, a resistor and a capacitor are utilized for forming a reverse-phase summator and a fractional order reverse-phase integrator with different orders. A multiplying unit U3 and a multiplying unit U4 are utilized for achieving multiplication. An analog switch U5 is utilized for achieving selecting output of an analog signal. The type of the operational amplifier U1 and the type of the operational amplifier U2 are LF347D, the type of the multiplying unit U3 and the type of the multiplying unit U4 are AD633JN, and the type of the analog switch U5 is ADG888. The operational amplifier U1 is connected with the multiplying unit U3, the multiplying unit U4 and the analog switch U5, the operational amplifier U2 is connected with the multiplying unit U3 and the analog switch U5, the multiplying unit U3 is connected with the operational amplifier U1, the multiplying unit U4 is connected with the operational amplifier U2, and the analog switch U5 is connected with the operational amplifier U1 and the operational amplifier U2. The new method and circuit for switching the novel chaotic system are put forward, and a new idea is provided for increasing of the types of chaotic system switching and application to engineering practice of the chaotic system.
Description
technical field [0001] The invention relates to a chaotic system and circuit realization, in particular to a chaotic system with different fractional orders 2 The Lorenz type chaotic switching system method and circuit. Background technique [0002] At present, the existing methods and circuits for switching chaotic systems mainly include the switching between different linear items or nonlinear items in the chaotic system, and the fractional order form based on these two switching modes. Regarding the fractional order chaos of different orders The switching method and circuit of the system have not been proposed yet, and the present invention proposes a method containing x with different fractional orders 2 The method and circuit of the Lorenz type chaotic switching system, the present invention proposes a novel switching method and circuit of a novel chaotic system, which provides a new idea for increasing the switching types of the chaotic system and applying the chaotic...
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IPC IPC(8): H04L9/00
Inventor 魏震波
Owner SICHUAN UNIV