Complete chaos synchronization of two identical Lorenz systems using nonlinear active control.
Year: 2025
Type: article
Abstract: Complete synchronization scheme was explored in this work. In this approach we make use of thenonlinear active controller to ensure the synchronization between the master and slave systems, withidentical parameters and initial conditions, to ensure reliable and stable state of the synchronization. Theapproach demonstrates a robust process, as the active controller being designed ensures the two identicalsystems synchronize over time. Tested against mismatched initial conditions we were able to verify thesensitivity of the Lorenz system towards initial conditions, the phase portrait and butterfly effect of thesystem was also illustrated to affirm the validity of this claim, the method demonstrate resilience towardsmismatching initial conditions, giving room to areas of possible application such as securingcommunication, signal processing and control theory.
Authors: Masood Alam, Saifullahi Muhammad Ali, Mubarak Ismail Salisu, Khursheed Alam
Institutions: Sultan Qaboos University, Sharda University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6930923054
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