Periodic orbits and the global attractor for delayed monotone negative feedback.
Krisztin, Tibor (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Krisztin, Tibor (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Mestel, B.D., Osbaldestin, A.H. (2000)
Mathematical Physics Electronic Journal [electronic only]
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Zhen Wang, Wei Sun, Zhouchao Wei, Shanwen Zhang (2017)
Kybernetika
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Periodic parametric perturbation control and dynamics at infinity for a 3D autonomous quadratic chaotic system are studied in this paper. Using the Melnikov's method, the existence of homoclinic orbits, oscillating periodic orbits and rotating periodic orbits are discussed after transferring the 3D autonomous chaotic system to a slowly varying oscillator. Moreover, the parameter bifurcation conditions of these orbits are obtained. In order to study the global structure, the dynamics...
Starkov, Konstantin E. (2004)
Mathematical Problems in Engineering
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Ráb, Miloš
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Li, Huimin, Yang, Xiao-Song (2006)
Discrete Dynamics in Nature and Society
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Motlagh, O. Rabiei, Afsharnezhad, Z. (2003)
International Journal of Mathematics and Mathematical Sciences
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Carvalho, L.A.V., Ladeira, L.A.C., Martelli, M. (2000)
Portugaliae Mathematica
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J. M. Gambaudo, S. Van Strien, C. Tresser (1989)
Annales de l'I.H.P. Physique théorique
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Kaloshin, Vadim Yu. (1999)
Annals of Mathematics. Second Series
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Gen-Qiang Wang, Sui Sun Cheng (2002)
Annales Polonici Mathematici
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A priori bounds are established for periodic solutions of an nth order Rayleigh equation with delay. From these bounds, existence theorems for periodic solutions are established by means of Mawhin's continuation theorem.