Effects of hard limits on bifurcation, chaos and stability (Q1884656)

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scientific article; zbMATH DE number 2113809
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Effects of hard limits on bifurcation, chaos and stability
scientific article; zbMATH DE number 2113809

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    Effects of hard limits on bifurcation, chaos and stability (English)
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    5 November 2004
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    A ``single-machine infinite-bus power system'' model \(\dot x = f(x)\) in \(\mathbb{R}^4\) due to \textit{W. Ji} and \textit{V. Venkatasubramanian} [Dynamics of a minimal power system: invariant tori and quasi-periodic motions. IEEE Trans. Circuits Systems Fund. Theory Appl. 42, No.12, 981-1000 (1995)] is investigated. The effects of hard limits on bifurcations, chaos and stability are studied. ``These results are based on theoretical analysis and numerical simulations''.
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    Hopf bifurcation
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    saddle-node bifurcation
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