Abstract
In this paper, we consider the application of the matrix decomposition method to analyze Chua’s chaotic oscillator. It is shown that Chua’s system of equations describing the oscillator can be expanded into linear, quadratic, and cubic terms using the matrix decomposition method. Decomposition into a matrix series permits to study transition to chaos in Chua’s system from the point of view of Landau’s model of initial turbulence. The emerging new chaotic state in the system when a new stationary value of a state-space variable is chosen is explained using the Poincaré section method. For the system of equations that are obtained using the matrix decomposition method, the spectral and bifurcation analysis is conducted. Simulations using MATLAB and Simulink are carried out. A computational Simulink-model is the basis for building an information technology for recognizing the chaotic dynamics of Chua-type oscillators.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
