Results 141 to 150 of about 337 (161)
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Stabilization and positioning control of a rolling disk by using the Bogdanov–Takens bifurcation
Physica D: Nonlinear Phenomena, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pérez Polo, Manuel F. +2 more
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International Journal of Biomathematics, 2020
In this paper, a neutral Hopfield neural network with bidirectional connection is considered. In the first step, by choosing the connection weights as parameters bifurcation, the critical point at which a zero root of multiplicity two occurs in the characteristic equation associated with the linearized system.
Achouri, Houssem +2 more
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In this paper, a neutral Hopfield neural network with bidirectional connection is considered. In the first step, by choosing the connection weights as parameters bifurcation, the critical point at which a zero root of multiplicity two occurs in the characteristic equation associated with the linearized system.
Achouri, Houssem +2 more
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Chaotic Zone in the Bogdanov-Takens Bifurcation for Diffeomorphisms
2003We 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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Saturation recovery leads to cusp type Bogdanov–Takens bifurcations of codimensions 3
Applied Mathematics LetterszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhen Jin
exaly +3 more sources
Limit cycles and homoclinic orbits and their bifurcation of Bogdanov-Takens system
Applied Mathematics and Mechanics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Cheng-biao, Liu, Jia
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Normal forms of Hopf–Bogdanov–Takens bifurcation for retarded differential equations
Nonlinear Analysis: Real World ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Achouri, Houssem, Aouiti, Chaouki
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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), 2004We 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 +3 more
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PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS
International Journal of Bifurcation and Chaos, 2005Simple 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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