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• W2966371685 abstract "Abstract A new type of responses called as periodic-chaotic motion is found by numerical simulations in a Duffing oscillator with a slowly periodically parametric excitation. The periodic-chaotic motion is an attractor, and simultaneously possesses the feature of periodic and chaotic oscillations, which is a new addition to the rich nonlinear motions of the Duffing system including equlibria, periodic responses, quasi-periodic oscillations and chaos. In the current slow-fast Duffing system, we find three new attractors in the form of periodic-chaotic motions. These are called the fixed-point chaotic attractor, the fixed-point strange nonchaotic attractor, and the critical behavior with the maximum Lyapunov exponent fluctuating around zero. The system periodically switches between one attractor with a fixed single-well potential and the other with time-varying two-well potentials in every period of excitation. This behavior is apparently the mechanism to generate the periodic-chaotic motion." @default.
• W2966371685 created "2019-08-13" @default.
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• W2966371685 date "2019-08-01" @default.
• W2966371685 modified "2023-09-26" @default.
• W2966371685 title "New periodic-chaotic attractors in slow-fast Duffing system with periodic parametric excitation" @default.
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• W2966371685 doi "https://doi.org/10.1038/s41598-019-46768-7" @default.
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