Separatrix conditions yielding either periodic orbits or unusual behavior for flows on M3. (Short Communication).
C.S. Hartzman, D.R. Naugler (1981)
Aequationes mathematicae
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Displaying similar documents to “Separatrix conditions yielding either periodic orbits or unusual behavior for flows on M3.”
Separatrix conditions yielding either periodic orbits or unusual behavior for flows on M3. (Short Communication).
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Localization of periodic orbits of autonomous systems based on high-order extremum conditions.
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de Carvalho, André, Hall, Toby (2002)
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On periodic orbits in discrete-time cascade systems.
Li, Huimin, Yang, Xiao-Song (2006)
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Non equivalence of NMS flows on
B. Campos, P. Vindel (2012)
Mathematica Bohemica
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We build the flows of non singular Morse-Smale systems on the 3-sphere from its round handle decomposition. We show the existence of flows corresponding to the same link of periodic orbits that are non equivalent. So, the link of periodic orbits is not in a 1-1 correspondence with this type of flows and we search for other topological invariants such as the associated dual graph.
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...