Results 81 to 90 of about 299 (99)

3-Dimensional zero–Hopf bifurcation via averaging theory of fourth order

São Paulo Journal of Mathematical Sciences
The authors study a three-dimensional ODE system defined by a cubic polynomial that exhibits a zero-Hopf bifurcation. They apply averaging theory and Brouwer degree to determine the maximum number of limit cycles that can emerge. Depending on the order of perturbation, the authors prove that at most 3 or 10 limit cycles can bifurcate. They also provide
Tabet, Achref Eddine, Makhlouf, Amar, Kassa, Sara   +2 more
openaire   +4 more sources

FRACTAL-TYPE SCALING LAWS AND MULTISCALE OSCILLATORY DYNAMICS IN A FOUR-DIMENSIONAL FARADAY DISK DYNAMO SYSTEM: ZERO-HOPF BIFURCATION ANALYSIS VIA AVERAGING THEORY

Fractals
This paper presents a rigorous analytical study of fractal-type scaling laws and multiscale oscillatory dynamics arising from a zero-Hopf bifurcation in a four-dimensional Faraday disk dynamo system originally introduced by Hide and Moroz. The system can be written in the standard form [Formula: see text] where [Formula: see text] is the linearization ...
ASMA ALHARBI, IBRAHIM MEKAWY
openaire   +1 more source

Zero-Hopf bifurcation in a 3D jerk system

Nonlinear Analysis: Real World Applications, 2021
Ana Mereu, FRANCISCO Braun
exaly  

Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System

Symmetry, 2022
Wei Niu, Bo Huang, Niu Wei
exaly  

Zero‐Hopf bifurcation in the generalized Hiemenz equation

Mathematical Methods in the Applied Sciences, 2021

exaly  

ZERO-HOPF BIFURCATION IN A FOUR-DIMENSIONAL QUARTIC POLYNOMIAL DIFFERENTIAL SYSTEM VIA AVERAGING THEORY OF THIRD ORDER

Bouaziz, Chamseddine, Makhlouf, Amar, Tabet, Achref   +2 more
openaire   +1 more source

Zero-Hopf bifurcation in a Chua system

Nonlinear Analysis: Real World Applications, 2017
Rodrigo Euzebio, Jaume Llibre
exaly  

Analysis of Zero-Hopf Bifurcation in Two Rössler Systems Using Normal Form Theory

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2020
Pei Yu
exaly  

3-dimensional Hopf bifurcation via averaging theory

Discrete and Continuous Dynamical Systems, 2007
Da Silva P R, Jaume Llibre, Claudio Buzzi   +2 more
exaly  

On the Zero-Hopf Bifurcation of the Lotka–Volterra Systems in R 3

Mathematics, 2020
Maoan Han, Yun Tian, Jaume Llibre
exaly