Smoothness of the attractor of almost all solutions of a delay differential equation

Walther Hans-Otto; Yebdri Mustapha

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Periodic orbits and the global attractor for delayed monotone negative feedback.

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Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors.

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Periodic parametric perturbation control for a 3D autonomous chaotic system and its dynamics at infinity

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...