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Therefore in this work, the method of chaos analysis is applied to bubble columns.
This paper also extends the above adaptive synchronization method to secure chaos communications through the method of chaos masking.
In the recent work, the authors have proposed the adaptive based on exponential stability methods to secure chaos communication through the method of chaos masking and modulation.
Using three coupled identical systems, proposes a novel method of chaos encryption, after encrypting in the first two coupled systems, encrypt again in the later two coupled systems.
Based on the three coupled identical Lorenz chaotic systems, a novel method of chaos encryption is proposed, and the basic idea is that after encrypting two times in two transmitters and one receiver, information signal can be recovered exactly at the receiver end.
This work, inspired by previous works, improves the security of the chaos secure system by adding the second order of chaos synchronized secure communication system to multistage ones, that is, it proposes a novel method of chaos encryption using three coupled identical systems.
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Additionally, the latest methods of chaos identification are applied to confirm chaotic dynamics experimentally.
While the long time series most amenable to traditional methods of chaos detection are only occasionally available to geomorphologists, there are methods for detecting chaos in spatial data, including qualitative and categorical data.
The particular consideration of spontaneous light polarization symmetry breaking and restoration in anisotropic dye lasers, taking into account orientational relaxation processes (ORPs), provides an opportunity for designing new methods of chaos control consisting of the tuning or modulation of induced or medium anisotropy.
This analytical approach therefore circumvents many of the problems associated with noise contamination of experimental data that frustrate other methods of chaos detection (see Appendix S1).
Finally, the stability transformation method (STM) of chaos feedback control is proposed to implement the convergence control of FORM.
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