Grid multi-scroll chaotic system and circuit

A chaotic system and multi-scroll technology, applied in transmission systems, digital transmission systems, electrical components, etc., can solve the problems of less research on multi-directional and multi-scroll chaotic systems, and achieve the effect of wide application prospects

CN104901791AInactive Publication Date: 2015-09-09马英杰 +6
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Patent Information

Authority / Receiving Office
CN · China
Current Assignee / Owner
Publication Date
2015-09-09
Estimated Expiration
Not applicable · inactive patent

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Abstract

The invention provides a 4 times 2 grid multi-scroll chaotic attraction subsystem and circuit, which consists of a first channel circuit, a second channel circuit, a third channel circuit and three paths of symbol function circuits. The first channel circuit consists of an invert adder U1, an integrator U2, an inverter U3 and resistors R11, R12, R13, R14 and Rx1 and Rx2. The second channel circuit consists of an invert adder U4, an integrator U5, an inverter U6 and resistors R21, R22, R23, R24 and Ry1 and Ry2. The third channel circuit consists of an invert adder U7, an integrator U8, an inverter U9 and resistors R31, R32, R33, R34 and Rz1, Rz2, Rz3, and Rz4. The invention provides one 4 times 2 grid multi-scroll chaotic attraction subsystem, which is subject to experimental proof with a simulation circuit, and has wide application prospect and important application value in the fields such as secret communication.
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Description

technical field

[0001] The invention relates to a chaos generation system and circuit, in particular to a 4×2 grid multi-scroll chaos attractor system and circuit. Background technique

[0002] In the early 1990s, based on the normalized state equation of the Chua circuit, Suykens and Vandewalle discovered multi-scroll chaotic attractors by increasing the turning point of the nonlinear function curve. Low-dimensional chaotic systems can be deciphered by conventional deciphering methods such as phase space reconstruction, regression mapping, and nonlinear prediction, while high-dimensional multi-scroll chaotic systems with complex behaviors are still difficult to decipher. Compared with the traditional single-scroll and double-scroll chaotic systems, the multi-scroll chaotic system has phase-orbit separation in more directions and has more complex nonlinear dynamic behavior, which can resist conventional deciphering methods and improve chaotic secure communication. The secur...

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Embodiment Construction

[0017] Below in conjunction with accompanying drawing and preferred embodiment the present invention is described in further detail, see Figure 1-Figure 3 .

[0018] 1. A 4 × 2 grid multi-scroll chaotic attractor system is characterized in that it comprises the following steps:

[0019] (1) The 4×2 grid multi-scroll chaotic attractor system m is:

[0020] dx / dt = y - d · sgn ( y ) dy / dt = z - e · sgn ( z ) ...