Results 71 to 80 of about 806 (167)
Controllability near a Takens-Bogdanov-bifurcation
, 1994 Controllability near a Takens-Bogdanov-bifurcation. - In: Systems and networks. - Berlin : Akad.-Verl. - Vol. 2. (1994). - S. 193-196.
Häckl, Gerhard
core
Global bifurcations in the Takens-Bogdanov normal form with D_4 symmetry near the O(2) limit [PDF]
, 2001 The dynamics of the normal form of the Takens-Bogdanov bifurcation with D_4 symmetry is governed by a one-dimensional map near the gluing bifurcation and near the O(2) integrable limit, rather than the three-dimensional map one would expect.
Rucklidge, A.M.
core +1 more source
Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov-Takens Bifurcation [PDF]
This paper provides for the first time correct third-order homoclinic predictors in n-dimensional ODEs near a generic Bogdanov-Takens bifurcation point, which can be used to start the numerical continuation of the appearing homoclinic orbits.
Kuznetsov, Yuri A. +2 more
core +2 more sources
Complexity, 2019 There is a wide range of works that have proposed mathematical models to describe the spread of infectious diseases within human populations. Based on such models, researchers can evaluate the effect of applying different strategies for the treatment of ...
Ángel G. C. Pérez +2 more
doaj +1 more source
Numerical Analysis of the Coupled Modified van der Pol Equations in a Model of Heart Action
Biomath, 2014 In this paper, a modified van der Pol equations are considered as a description of the heart action. Wide ranges of the model parameters yield interesting qualitative results, e.g.
Beata Zduniak
doaj +3 more sources
Bifurcation analysis of surge and rotating stall in the Moore-Greitzer compression system
, 2002 A simple compression system model, described by a set of three ordinary nonlinear differential equations (the Moore-Greitzer model) is studied using bifurcation analysis to give a qualitative understanding of the presence of surge and rotating stall ...
Kullmann, L, Champneys, AR, Hos, C
core
Bogdanov-Takens bifurcation of codimension $3$ in the Gierer-Meinhardt model
, 2023 Bifurcation of the local Gierer-Meinhardt model is analyzed in this paper. It is found that the degenerate Bogdanov-Takens bifurcation of codimension 3 happens in the model, except that teh saddle-node bifurcation and the Hopf bifurcation.
Yang, Lingling, Wu, Ranchao
core
, 2023 A natural biological system under human interventions may exhibit complex dynamical behaviors which could lead to either the collapse or stabilization of the system.
Ruan, Shigui +3 more
core +1 more source
An Improved Direct Method for Solving Power Systems Bogdanov-Takens Bifurcation
工程科学与技术, 2012 :There are large amount of calculation using continuation method to search the Bogdanov-Takens bifurcation point in power systems, and the traditional direct method requires accurate initial value, as its feature vector norm has uncertainty.
doaj
International audienceThe intricate dynamics of nonlinear systems can be significantly influenced by the careful tuning of system parameters. One notable example is the Bogdanov–Takens bifurcation, which arises as a codimension-2 bifurcation and leads to
Houssem, Achouri
core +1 more source