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Discretization and implicit mapping dynamics
Albert C. J. Luo
- 01 Sep 2015
64
About: The article was published on 01 Sep 2015. and is currently open access. The article focuses on the topics: Dynamical systems theory & Discretization.
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Citations
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Independent Period-2 Motions to Chaos in a van der Pol–Duffing Oscillator
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TL;DR: An independent bifurcation tree of period-2 motions to chaos coexisting with period-1 motions in a periodically driven van der Pol–Duffing oscillator is presented semi-analytically and nonlinear systems can be applied in nonlinear circuit design and fluid-induced oscillations.
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Energy harvesting of a frequency up-conversion piezoelectric harvester with controlled impact
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On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system
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TL;DR: The stable and unstable periodic motions to chaos on the period-doubling cascaded bifurcation trees are determined through a discrete mapping method and corresponding homoclinic orbits induced by the unstable periodic orbits are predicted analytically.
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