期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 29, 期 5, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127419500676
关键词
van der Pol-Duffing oscillator; chaos; bifurcation; multistability; FPGA
资金
- Center for Nonlinear Dynamics, Defence University, Ethiopia [CND/DEC/2018-10]
- Natural Science Foundation of China [11772306, 11401543]
- Scientific Research Program of Hubei Provincial Department of Education [B2017599]
This paper deals with a new modified hyperchaotic van der Pol-Duffing (MVPD) snap oscillator. Various dynamical properties of the proposed system are investigated with the help of Lyapunov exponents, stability analysis of the equilibrium points and bifurcation plots. The existence of the Hopf bifurcation is established by analyzing the corresponding characteristic equation. It is also proved that the MVPD oscillator shows multistability with coexisting attractors. Various numerical simulations are conducted and presented to show the dynamical behavior of the MVPD system. To show that the system is hardware realizable, we derive the discrete model of the MVPD system using the Euler's method and using the hardware-software cosimulation, the proposed MVPD system is implemented in Field Programmable Gate Arrays. It is shown that the output of the digital implementations of the MVPD systems matches the numerical analysis.
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