Nonlinear characteristic of a circular composite plate energy harvester: experiments and simulations |
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| Authors: | " target="_blank">Tianchen Yuan Jian Yang Li-Qun Chen |
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| Institution: | 1.School of Electrical Engineering and Automation,Tianjin University,Tianjin,People’s Republic of China;2.Department of Product Design, School of Electronic Information and Automation,Tianjin University of Science and Technology,Tianjin,People’s Republic of China;3.Department of Electrical and Mining Engineering,University of South Africa,Florida,South Africa;4.College of Computer and Control Engineering,Nankai University,Tianjin,People’s Republic of China |
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| Abstract: | Conservative chaotic systems are rare, especially autonomous smooth dynamical systems. This paper reports two four-dimensional (4D) autonomous conservative systems. The conservation of these two systems has been verified using the trace of Jacobian matrix, perpetual point theory and Hamiltonian energy theory. Numerical analyses, including phase portrait, Poincaré section, Lyapunov exponent spectrum and bifurcation diagram, verify the existence of the chaotic and quasiperiodic flows. Moreover, a electronic circuit in Multisim is built to demonstrate their chaotic dynamics, whose circuit experimental results agree well with the numerical results. |
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