Continuation of relative periodic orbits in a class of triatomic hamiltonian systems
Guillaume James, Pascal Noble, Yannick Sire (2009)
Annales de l'I.H.P. Analyse non linéaire
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Guillaume James, Pascal Noble, Yannick Sire (2009)
Annales de l'I.H.P. Analyse non linéaire
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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...
Mawhin, Jean
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Michal Fečkan (1993)
Mathematica Slovaca
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Antonio J. Ureña (2006)
Annales de l'I.H.P. Analyse non linéaire
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