Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors.
Mestel, B.D., Osbaldestin, A.H. (2000)
Mathematical Physics Electronic Journal [electronic only]
Similarity:
Mestel, B.D., Osbaldestin, A.H. (2000)
Mathematical Physics Electronic Journal [electronic only]
Similarity:
Takác, Peter (1993)
Monatshefte für Mathematik
Similarity:
Krisztin, Tibor (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
Zhen Wang, Wei Sun, Zhouchao Wei, Shanwen Zhang (2017)
Kybernetika
Similarity:
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...
Li, Huimin, Yang, Xiao-Song (2006)
Discrete Dynamics in Nature and Society
Similarity:
Starkov, Konstantin E. (2004)
Mathematical Problems in Engineering
Similarity:
Lluís Alsedà, David Juher, Pere Mumbrú (2005)
Annales de l'institut Fourier
Similarity:
We study the preservation of the periodic orbits of an -monotone tree map in the class of all tree maps having a cycle with the same pattern as . We prove that there is a period-preserving injective map from the set of (almost all) periodic orbits of into the set of periodic orbits of each map in the class. Moreover, the relative positions of the corresponding orbits in the trees and (which need not be homeomorphic) are essentially preserved.
Walther Hans-Otto, Yebdri Mustapha
Similarity:
AbstractLet a C¹-function f:ℝ → ℝ be given which satisfies f(0) = 0, f'(ξ) < 0 for all ξ ∈ ℝ, and sup f < ∞ or -∞ < inf f. Let C = C([-1,0],ℝ). For an open-dense set of initial data the phase curves [0,∞) → C given by the solutions [-1,∞) → ℝ to the negative feedback equationx'(t) = -μx(t) + f(x(t-1)), with μ > 0,are absorbed into the positively invariant set S ⊂ C of data ϕ ≠ 0 with at most one sign change. The global attractor A of the semiflow restricted to S̅ is either...
Philip Boyland (1992)
Commentarii mathematici Helvetici
Similarity:
Guillaume James, Pascal Noble, Yannick Sire (2009)
Annales de l'I.H.P. Analyse non linéaire
Similarity: