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One-parameter robust chaotic signal source

A chaotic signal, single-parameter technology, applied in the field of chaotic signal sources, can solve problems such as narrow dynamic range, inability to obtain robust chaotic signals, and inability to achieve linear adjustment of dynamic range, achieving good consistency and wide application prospects. Effect

Active Publication Date: 2012-07-25
溧阳常大技术转移中心有限公司
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Problems solved by technology

For example, the Chinese patent application number is 201010300420.3, and the name is "Chaotic Signal Source with Linear Adjustable Dynamic Amplitude". increases, the dynamic range of the output chaotic signal also increases, but the maximum Lyapunov exponent of the system cannot be adjusted linearly, and the dynamic range of the other two parameters of the system is narrow, so it is impossible to obtain the dynamic range within a wider parameter range Robust chaotic signal, therefore, it is impossible to realize an autonomous chaotic signal source with linearly adjustable dynamic range, linearly adjustable maximum Lyapunov exponent of the system, and system dynamics with chaotic robust stability

Method used

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  • One-parameter robust chaotic signal source
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  • One-parameter robust chaotic signal source

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Embodiment Construction

[0025] Referring to Figure 1-8, the mathematical model of a single-parameter robust chaotic signal source can be described as:

[0026] (1)

[0027] Among them, the positive real number a is the only control parameter, x, y and z are the three state variables of the corresponding circuit equation, and .

[0028] make , it can be solved that formula (1) has three equilibrium points S 0 , S + and S – ,in: S 0 = (0, 0, 0), S + =( a , a , 2 a ), S – = (– a , – a , 2 a ). 3 balance points S 0 , S + and S – unify as balance point S * = ( x *, y *, z *),here x *, y *and z * correspond to the values ​​on the three coordinate axes in the three balance point expressions respectively, then at the balance point S *Neighboring to linearize the formula (1), the Jacobian matrix is ​​obtained as:

[0029] (2)

[0030] for the origin S 0 , the three characteristic roots of formula (1) can be obtained from formula (2):...

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Abstract

The invention discloses a one-parameter robust chaotic signal source. The one-parameter robust chaotic signal source comprises an X circuit channel, a Y circuit channel and a Z circuit channel, wherein the X circuit channel comprises a first integration circuit; the Y circuit channel comprises a second integration circuit; the Z circuit channel comprises a third integration circuit; the three integration circuits respectively output three status variables; the gain of a first gain circuit is a; the gain of a second gain circuit is 2a; and the gain of a third gain circuit is 0.5a. The chaotic signal source with linearly adjustable dynamic range, linearly adjustable maximum Lyapunov exponent of a system and chaotic robust stability of the system dynamic property, is realized; with the change of linear adjustment parameters, the dynamic range of a chaotic attractor produced by the chaotic signal source is linearly changed, and the maximum Lyapunov exponent of the system is also linearly changed; and the chaotic signal source has no periodic window and chaotic robustness of behaviors such as intermittency chaos and the like.

Description

technical field [0001] The invention relates to a chaotic signal source, in particular to an autonomous continuous robust chaotic signal source with a single control parameter, a system maximum Lyapunov exponent and a dynamic range of a chaotic trajectory which are linearly adjustable. Background technique [0002] Ordinary signal sources can generate periodic signals with different waveforms, and have been widely used in the field of information engineering. The characteristic of periodic signal is that it is convenient for the synchronization of modulation and demodulation, but it is not conducive to the requirements of special fields such as information encryption. Chaotic signals have the characteristics of inherent randomness, initial value sensitivity, broadband, ergodicity, and boundedness, and can generate broadband signals similar to white noise. Therefore, chaotic signals have a wide range of applications in the fields of information encryption, secure communicatio...

Claims

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Application Information

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IPC IPC(8): H03B29/00H03D3/00
Inventor 包伯成邹凌马正华段仲麒吴志敏储开斌
Owner 溧阳常大技术转移中心有限公司
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