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• W2741665267 abstract "Chaos theory has a lot of applications in science and engineering. This paper first details the qualitative properties of the forced Van der Pol chaotic oscillator, which has important applications. Since its introduction in the 1920's, the Van der Pol equation has been a prototype model for systems with self-excited limit cycle oscillations. The Van der Pol equation has been studied over wide parameter regimes, from perturbations of harmonic motion to relaxation oscillations. It has been used by scientists to model a variety of physical and biological phenomena. In this paper, we announce a novel 4-D coupled Van der Pol conservative chaotic system and discuss its qualitative properties. We show that the Lyapunov exponents of the novel 4-D Van der Pol conservative chaotic system are 1 14.6, D = This shows the high level complexity of the novel 4-D Van der Pol conservative chaotic system. We also derive new results for the adaptive control of the coupled Van der Pol highly chaotic system. The main results are proved using Lyapunov stability theory. MATLAB plots are shown to illustrate the phase portraits of the novel 4-D conservative chaotic system and all the main results." @default.
• W2741665267 created "2017-08-08" @default.
• W2741665267 creator A5051386391 @default.
• W2741665267 date "2015-01-01" @default.
• W2741665267 modified "2023-09-27" @default.
• W2741665267 title "A Novel Coupled Van der Pol Conservative Chaotic System and its Adaptive Control" @default.
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