Results 151 to 160 of about 1,883 (165)

Bogdanov–Takens bifurcation in an oscillator with positive damping and multiple delays

Nonlinear Dynamics, 2016
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Wang, Jinling, Liu, Xia, Liang, Jinling
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Bogdanov–Takens bifurcation in a single inertial neuron model with delay

Neurocomputing, 2012
In this paper, we study a retarded functional differential equation modeling a single neuron with inertial term subject to time delay. Bogdanov-Takens bifurcation is investigated by using center manifold reduction and the normal form method for RFDE.
Xing He, Chuandong Li, Yonglu Shu
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Normal forms of Hopf–Bogdanov–Takens bifurcation for retarded differential equations

Nonlinear Analysis: Real World Applications
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Achouri, Houssem, Aouiti, Chaouki
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Study of a degenerate bogdanov-takens bifurcation in a family of mechanical oscillators

Mechanics Research Communications, 1998
The authors study nonlinear second-order ordinary differential equations as models of generalized oscillators, and detect periodic behaviour by analysing the bifurcations in these oscillators. The most degenerate equilibria are considered, and a useful information is given about nontrivial oscillatory behaviours and their transitions. In particular, it
Freire, E., Gamero, E., Rondríguez-Luis, A. J.   +2 more
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Saturation recovery leads to cusp type Bogdanov–Takens bifurcations of codimensions 3

Applied Mathematics Letters
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Jiang-Hong Hu, Changxin Wu, Zhen Jin
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Bogdanov-Takens Bifurcation in a Leslie Type Tritrophic Model with General Functional Responses

Acta Applicandae Mathematicae, 2019
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Gamaliel Blé, Miguel Angel Dela-Rosa
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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.
F. Salas, R. Reginatto, F. Gordillo, J. Aracil   +3 more
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The Bogdanov–Takens bifurcation analysis on a three dimensional recurrent neural network

Neurocomputing, 2010
A class of recurrent neural networks is investigated in the vicinity of the Bogdanov-Takens bifurcation point in the parameter space when the slope of the transfer function of the neurons at the origin is not equal to one. It will be shown that two different bifurcation diagrams can be constructed. In each bifurcation diagram, there are critical values
Farzaneh Maleki, Babak Beheshti, Amirhossein Hajihosseini, Gholam Reza Rokni Lamooki   +3 more
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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.
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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.
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