Unbounded basins of attraction of limit cycles.
Giesl, P. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Displaying similar documents to “From transverse heteroclinic cycles to transverse homoclinic orbits”
Unbounded basins of attraction of limit cycles.
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Mestel, B.D., Osbaldestin, A.H. (2000)
Mathematical Physics Electronic Journal [electronic only]
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An extension of the Artin-Mazur theorem.
Kaloshin, Vadim Yu. (1999)
Annals of Mathematics. Second Series
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Localization of periodic orbits of autonomous systems based on high-order extremum conditions.
Starkov, Konstantin E. (2004)
Mathematical Problems in Engineering
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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...
Higher dimensional Melnikov mappings
Michal Fečkan (1999)
Mathematica Slovaca
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The explosion of singular cycles
Rodrigo Bamon, Rafael Labarca, Ricardo Mañé, Maria-José Pacífico (1993)
Publications Mathématiques de l'IHÉS
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Existence of periodic solutions and homoclinic orbits for third-order nonlinear differential equations.
Motlagh, O. Rabiei, Afsharnezhad, Z. (2003)
International Journal of Mathematics and Mathematical Sciences
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