Bounded Solutions of the Nonlinear Lyapunov Equation and Homoclinic Chaos
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DOI: 10.1007/s11253-019-01685-w
Abstract: We study bounded solutions of a nonlinear Lyapunov-type problem in Banach and Hilbert spaces. Necessary and sufficient conditions for the existence of bounded solutions on the entire axis are obtained under the assumption that the… read more here.
Keywords: solutions nonlinear; bounded solutions; nonlinear lyapunov; homoclinic chaos ... See more keywords
Homoclinic chaos in the Rössler model.
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DOI: 10.1063/5.0026188
Abstract: We study the origin of homoclinic chaos in the classical 3D model proposed by Rössler in 1976. Of our particular interest are the convoluted bifurcations of the Shilnikov saddle-foci and how their synergy determines the… read more here.
Keywords: model; ssler model; chaos; homoclinic chaos ... See more keywords