Complex dynamical behavior of modified MLC circuit

Shihui Fu and Yuan Liu

Chaos, Solitons & Fractals, 2020, vol. 141, issue C

Abstract: In this paper, we mainly investigate the complex dynamical behavior of modified MLC circuit. When its external excitation doesn’t equal zero, it is nonautonomous and non-smooth, hence we theoretically give the conditions under which grazing bifurcation occurs and the periodic orbits only lie in some one zone. More complex grazing bifurcations and coexisting attractors are also found by numerical simulation, among which is mainly produced by the symmetry. Grazing bifurcations and doubling-period bifurcations that can induce chaotic motion and some basins of attraction are given in this paper. If the external excitation of this system equal zero, it is a non-smooth autonomous system. For this case, we theoretically analysis its non-smooth bifurcations of equilibrium points and limit cycle bifurcation, which is also verified by numerical simulation.

Keywords: MLC circuit; grazing bifurcation; coexisting attractor; non-smooth bifurcation; limit cycle bifurcation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920308006

DOI: 10.1016/j.chaos.2020.110407

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