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- W2089251565 abstract "We give some sufficient conditions for the existence of at least two periodic solutions of the quaternionic Riccati equation. In some cases we are able to give a full description of dynamics and detect solutions heteroclinic to the periodic ones. We also provide an example of the Riccati equation without periodic solutions which appears in the Euler vorticity dynamics." @default.
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- W2089251565 date "2009-10-01" @default.
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- W2089251565 title "Quaternionic-valued ordinary differential equations. The Riccati equation" @default.
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- W2089251565 doi "https://doi.org/10.1016/j.jde.2009.06.015" @default.
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