Results 141 to 150 of about 332 (160)

Chaotic Zone in the Bogdanov-Takens Bifurcation for Diffeomorphisms

2003
We consider a two-parametric analytic family of diffeomorphisms near the Bogdanov-Takens bifurcation. It is known that if the parameters belong to a homoclinic zone, the map has homoclinic points. The width of the homoclinic zone is exponentially small. We derive an asymptotic formula for the width of the homoclinic zone.
openaire   +1 more source

Bogdanov-Takens bifurcation in indirect field oriented control of induction motor drives

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004
We explore further the occurrence of bifurcations in the indirect field oriented control of induction motors. This study is a continuation of previous publications. New results reveal the occurrence of codimension-two bifurcation phenomena, such as a Bogdanov-Takens bifurcation.
Francisco Salas, Romeu Reginatto, Francisco Gordillo, Javier Aracil 0002   +3 more
openaire   +1 more source

Normal forms of Hopf–Bogdanov–Takens bifurcation for retarded differential equations

Nonlinear Analysis: Real World Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Achouri, Houssem, Aouiti, Chaouki
openaire   +2 more sources

Bogdanov-Takens Bifurcation in a Leslie Type Tritrophic Model with General Functional Responses

Acta Applicandae Mathematicae, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gamaliel Blé, Miguel Angel Dela-Rosa
openaire   +1 more source

Saturation recovery leads to cusp type Bogdanov–Takens bifurcations of codimensions 3

Applied Mathematics Letters
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang-Hong Hu, Changxin Wu, Zhen Jin 0001   +2 more
openaire   +1 more source

PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS

International Journal of Bifurcation and Chaos, 2005
Simple computational formulas are derived for the two-, three-, and four-order coefficients of the smooth normal form on the center manifold at the Bogdanov–Takens (nonsemisimple double-zero) bifurcation for n-dimensional systems with arbitrary n ≥ 2.
openaire   +1 more source

Bursting oscillations in a slow-varying periodically excited vector field with Bogdanov–Takens bifurcation

JVC/Journal of Vibration and Control, 2022
Qinsheng Bi
exaly  

Bogdanov-Takens bifurcation with $ Z_2 $ symmetry and spatiotemporal dynamics in diffusive Rosenzweig-MacArthur model involving nonlocal prey competition

Discrete and Continuous Dynamical Systems, 2022
Weihua Jiang
exaly  

Bogdanov-Takens bifurcation in a SIRS epidemic model with a generalized nonmonotone incidence rate

Discrete and Continuous Dynamical Systems - Series S, 2020
Chuang Xiang, Jicai Huang
exaly  

Delay-induced Bogdanov–Takens bifurcation in a Leslie–Gower predator–prey model with nonmonotonic functional response

Communications in Nonlinear Science and Numerical Simulation, 2014
Jiao Jiang, Yongli Song
exaly