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Comment on“Time-averaged properties of unstable periodic orbits and chaotic orbits in ordinary differential equation systems”
Time-averaged properties chaotic orbits unstable periodic orbits
2010/4/7
The recent paper claims that mean characteristics of chaotic orbits differ from the corresponding values averaged over the set of unstable periodic orbits, embedded in the chaotic attractor. We demons...
New Result in the Ultimate Boundedness of Solutions of a Third-Order Nonlinear Ordinary Differential Equation
Differential equations of third order Boundedness
2008/6/30
Sufficient conditions are established for the ultimate boundedness of solutions of certain third-order nonlinear differential equations. Our result improves on Tunc's [C. Tunc, Boundedness of solution...