Studies on the construction method of a family of multi-scroll chaotic systems

Chen, Long; Hai-Jun, Peng; De-shi, Wang

doi:10.7498/aps.57.3337

Cited by 21 publications

(4 citation statements)

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“…Because the equation's order is lower and its structure is simpler, it is applied for weak signal detection. [11,12] Let the unknown signal be…”

Section: Principles Of Frequency Detection Using Chaotic Oscillatorsmentioning

confidence: 99%

Frequency detection of self-adaption control based on chaotic theory

Xu¹,

Qu²,

Li³

2015

Chinese Phys. B

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Low-order Duffing and high-order Rössler chaotic oscillator are connected together and new self-adaption frequency detection method is presented. The frequency difference control between unknown signal and the periodic driving force is realized in this paper and the self-adaption is obtained. Thus, the detection precision and speed are promoted. The limitation that there are too many chaotic oscillators in Duffing system is broken. Meanwhile the disadvantage that the detection speed is lower in Rössler chaotic control is overcome. The self-adaption choice of frequency difference control is realized using the Duffing and Rössler different chaotic oscillators to obtain unknown signal frequency. The simulation results show that the presented method is feasible and effective.

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“…Because the equation's order is lower and its structure is simpler, it is applied for weak signal detection. [11,12] Let the unknown signal be…”

Section: Principles Of Frequency Detection Using Chaotic Oscillatorsmentioning

confidence: 99%

Frequency detection of self-adaption control based on chaotic theory

Xu¹,

Qu²,

Li³

2015

Chinese Phys. B

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“…Firstly we construct a three-dimensional unstable linear system [6], such as type (1), when we select appropriate value for the three parameters, we can make the origin point for saddle focus.…”

Section: The Design Of Grid Multi-scroll Chaos Systemmentioning

confidence: 99%

“…Secondly we add nonlinear function into the system through the translation transformation [6], and then it will construct a Multi-scroll chaotic attractors system (type (2)) in a single direction. Parameters α, e, β and q are Control parameters. )]…”

Section: The Design Of Grid Multi-scroll Chaos Systemmentioning

confidence: 99%

A New Grid Multi-Scroll Chaotic System and the Simulation Based on Labview

Huang

2012

AMR

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In order to get the grid Multi-Scroll in the two directions, based on a simple unstable system, the way of the combination of the translational transform and step function was put forward to make the scrolls extending in the x and y directions in this paper. The quantity of scrolls can be controlled by two parameters N and M. A simulation system was designed with Labview to simulate grid Multi-Scroll chaotic system, it demonstrates the existence of grid Multi-Scroll chaotic attractor.

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“…Take a multi-scroll chaotic system [19] as the drive system, which has a simple structure as follows:…”

Section: Description Of the Gs Schemementioning

confidence: 99%

Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system

2010

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Based on Lyapunov theory, the adaptive generalized synchronization between Chen system and a multi-scroll chaotic system is investigated. According to the form of target function a proper adaptive controller is designed, by which the controlled Chen system can be synchronized with a multi-scroll chaotic system including unknown parameters. The Lyapunov direct method is exploited to prove that the synchronization error and parameter identification error both converge to zero. Numerical simulation results verify the feasibility of the proposed method further.

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Studies on the construction method of a family of multi-scroll chaotic systems

Cited by 21 publications

References 0 publications

Frequency detection of self-adaption control based on chaotic theory

Frequency detection of self-adaption control based on chaotic theory

A New Grid Multi-Scroll Chaotic System and the Simulation Based on Labview

Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system

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