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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Displaying similar documents to “Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors.”
Localization of periodic orbits of autonomous systems based on high-order extremum conditions.
On periodic orbits in discrete-time cascade systems.
Li, Huimin, Yang, Xiao-Song (2006)
Discrete Dynamics in Nature and Society
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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...
Periodic solutions of
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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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Periodic orbits of certain Hénon-like maps
Michal Fečkan (1993)
Mathematica Slovaca
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The periodic orbit structure of orientation preserving diffeomorphisms on D2 with topological entropy zero
J. M. Gambaudo, S. Van Strien, C. Tresser (1989)
Annales de l'I.H.P. Physique théorique
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Periodic billiard orbits in right triangles
Serge Troubetzkoy (2005)
Annales de l’institut Fourier
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There is an open set of right triangles such that for each irrational triangle in this set (i) periodic billiards orbits are dense in the phase space, (ii) there is a unique nonsingular perpendicular billiard orbit which is not periodic, and (iii) the perpendicular periodic orbits fill the corresponding invariant surface.