Seventy-five years of global analysis around the forced pendulum equation
Mawhin, Jean
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Displaying similar documents to “On geometric detection of periodic solutions and chaotic dynamics.”
Seventy-five years of global analysis around the forced pendulum equation
The existence of periodic solutions of an autonomous second order non-linear differential equation
G. J. Butler (1974)
Annales Polonici Mathematici
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Periodic solutions of x" + f(μ, x) = 0
G. J. Butler, H. I. Freedman (1979)
Annales Polonici Mathematici
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Forbidden periods in delay differential equations.
Carvalho, L.A.V., Ladeira, L.A.C., Martelli, M. (2000)
Portugaliae Mathematica
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On generalized periodic solutions of linear differential equations of order n
J. Ligęza (1977)
Annales Polonici Mathematici
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Periodic solutions of differential equations in the cylindrical space
Stanisław Sędziwy (1972)
Annales Polonici Mathematici
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On some possible extensions of Massera's theorem.
Makay, Géza (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Accurate computation of periodic regions' centers in the general -set with integer index number.
Xingyuan, Wang, Yijie, He, Yuanyuan, Sun (2010)
Discrete Dynamics in Nature and Society
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Positive periodic solutions of nonlinear first-order functional difference equations.
Ma, Ruyun, Chen, Tianlan, Lu, Yanqiong (2010)
Discrete Dynamics in Nature and Society
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Periodic solutions of nonlinear differential systems by the method of averaging
Zhanyong Li, Qihuai Liu, Kelei Zhang (2020)
Applications of Mathematics
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In many engineering problems, when studying the existence of periodic solutions to a nonlinear system with a small parameter via the local averaging theorem, it is necessary to verify some properties of the fundamental solution matrix to the corresponding linearized system along the periodic solution of the unperturbed system. But sometimes, it is difficult or it requires a lot of calculations. In this paper, a few simple and effective methods are introduced to investigate the existence...