Results 51 to 60 of about 1,883 (165)
On the Takens-Bogdanov Bifurcation in the Chua’s Equation [PDF]
, 1999 The analysis of the Takens-Bogdanov bifurcation of the equilibrium at the origin in the Chua’s equation with a cubic nonlinearity is carried out. The local analysis provides, in first approximation, different bifurcation sets, where the presence of ...
Algaba Durán, Antonio +3 more
core
Nonlinear Interaction of Transversal Modes in a CO2 Laser
, 2002 We show the possibility of achieving experimentally a Takens-Bogdanov bifurcation for the nonlinear interaction of two transverse modes ($l = \pm 1$) in a $CO_2$ laser.
C. Green +10 more
core +1 more source
Mathematical Biosciences and Engineering, 2021 In the paper, stability and bifurcation behaviors of the Bazykin's predator-prey ecosystem with Holling type Ⅱ functional response are studied theoretically and numerically.
Shuangte Wang, Hengguo Yu
doaj +1 more source
Operational Parameter Study of Aircraft Dynamics on the Ground [PDF]
, 2009 The dynamics of passenger aircraft on the ground are influenced by the nonlinear characteristics of several components, including geometric nonlinearities, the aerody- namics and interactions at the tyre-ground interface.
Coetzee, Etienne B +3 more
core +2 more sources
Dynamics of a Leslie-Gower predator-prey system with cross-diffusion
Electronic Journal of Qualitative Theory of Differential Equations, 2020 A Leslie–Gower predator–prey system with cross-diffusion subject to Neumann boundary conditions is considered. The global existence and boundedness of solutions are shown.
Rong Zou, Shangjiang Guo
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Mathematical Biosciences and Engineering, 2023 In the present study, the effects of the strong Allee effect on the dynamics of the modified Leslie-Gower predator-prey model, in the presence of nonlinear prey-harvesting, have been investigated.
Manoj K. Singh +3 more
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Degenerated Bogdanov-Takens bifurcations in an immuno-tumor model
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2009 A mathematical immuno-tumor model proposed by A. Kavaliauskas [Nonlinear Anal. Model. Control 8, 55 (2003)] and consisting of a Cauchy problem for a system of two first-order ordinary differential equations is studied. For some particular parameters values, this model has saddle-node, Hopf and Bogdanov-Takens (BT) singularities.
Trifan, Mariana P., Georgescu, Adelina
openaire +3 more sources
Dynamics of a Beddington-DeAngelis type predator-prey system with constant rate harvesting
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In the paper, a predator-prey system with Beddington-DeAngelis functional response and constant rate harvesting is considered. Various dynamical behaviors of the system including saddle-node points and a cusp of codimension 2 are investigated by using ...
Jaeun Lee, Hunki Baek
doaj +1 more source
Anomalous scaling behavior in Takens-Bogdanov bifurcations
, 1998 A general algorithm is presented for estimating the nonlinear instability threshold, $\sigma_c$, for subcritical transitions in systems where the linearized dynamics is significantly non-normal (i.e. subcritical bifurcations of {\em Takens-Bogdanov} type)
Baggett +17 more
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Food Quality in Producer-Grazer Models: A Generalized Analysis
, 2010 Stoichiometric constraints play a role in the dynamics of natural populations, but are not explicitly considered in most mathematical models. Recent theoretical works suggest that these constraints can have a significant impact and should not be ...
Feudel, Ulrike +4 more
core +2 more sources