Results 51 to 60 of about 78,418 (212)

Discontinuity Induced Bifurcations in a Model of Saccharomyces cerevisiae [PDF]

Math. Biosci. 218:40-49 (2009), 2008
We perform a bifurcation analysis of the mathematical model of Jones and Kompala [K.D. Jones and D.S. Kompala, Cybernetic model of the growth dynamics of Saccharomyces cerevisiae in batch and continuous cultures, J. Biotech., 71:105-131, 1999]. Stable oscillations arise via Andronov-Hopf bifurcations and exist for intermediate values of the dilution ...
arxiv   +1 more source

Bifurcation diagrams of global connections in Filippov systems

Nonlinear Analysis: Hybrid Systems, 2023
In this paper, we are concerned about the qualitative behavior of planar Filippov systems around some typical invariant sets, namely, polycycles. In the smooth context, a polycycle is a simple closed curve composed by a collection of singularities and regular orbits, inducing a first return map.
Kamila S. Andrade, Otávio M.L. Gomide, Douglas D. Novaes   +2 more
openaire   +2 more sources

Complex dynamics of a nonlinear discrete predator-prey system with Allee effect

Open Mathematics
The transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. In this article, we study a discrete predator-prey system with Holling type II functional response and Allee effect. First, the number of fixed points
Wang Jing, Lei Ceyu
doaj   +1 more source

On the Bifurcation Diagram of the Capillary–Gravity Whitham Equation [PDF]

Water Waves, 2019
We study the bifurcation of periodic travelling waves of the capillary-gravity Whitham equation. This is a nonlinear pseudo-differential equation that combines the canonical shallow water nonlinearity with the exact (unidirectional) dispersion for finite-depth capillary-gravity waves.
Filippo Remonato, Filippo Remonato, Mathew A. Johnson, Ola I.H. Maehlen, Mats Ehrnström   +4 more
openaire   +4 more sources

Bifurcation Diagram of the Model of a Lagrange Top with a Vibrating Suspension Point

Mathematics, 2023
The article considers a model system that describes a dynamically symmetric rigid body in the Lagrange case with a suspension point that performs high-frequency oscillations. This system, reduced to axes rigidly connected to the body, after the averaging
Pavel E. Ryabov, Sergei V. Sokolov
doaj   +1 more source

Global configurations of singularities for quadratic differential systems with exactly three finite singularities of total multiplicity four

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this article we obtain the geometric classification of singularities, finite and infinite, for the two subclasses of quadratic differential systems with total finite multiplicity $m_f=4$ possessing exactly three finite singularities, namely: systems ...
Joan Artés, Jaume Llibre, Dana Schlomiuk, Nicolae Vulpe   +3 more
doaj   +1 more source

Dynamical Analysis and Control of a Chaotic Microelectromechanical Resonator Model

Shock and Vibration, 2018
The dynamic analysis and control of a nonlinear MEM resonator system are considered. Phase diagram, bifurcation diagram, and the 0-1 test are applied to the analysis of the influence of the parameters on the dynamics of the system, whose parameters are ...
Dailhane G. Bassinello, Angelo M. Tusset, Rodrigo T. Rocha, Jose M. Balthazar   +3 more
doaj   +1 more source

Global configurations of singularities for quadratic differential systems with exactly two finite singularities of total multiplicity four

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this article we obtain the geometric classification of singularities, finite and infinite, for the three subclasses of quadratic differential systems with $m_f=4$ possessing exactly two finite singularities, namely: (i) systems with two double complex
Joan Artés, Jaume Llibre, Alex Rezende, Dana Schlomiuk, Nicolae Vulpe   +4 more
doaj   +1 more source

Controlling intermediate dynamics in a family of quadratic maps [PDF]

Chaos 27, 103101 (2017), 2017
The intermediate dynamics of composed one-dimensional maps is used to multiply attractors in phase space and create multiple independent bifurcation diagrams which can split apart. Results are shown for the composition of k-paradigmatic quadratic maps with distinct values of parameters generating k-independent bifurcation diagrams with corresponding k ...
arxiv   +1 more source

Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schroedinger equations [PDF]

, 2012
Linear stability of both sign-definite (positive) and sign-indefinite solitary waves near pitchfork bifurcations is analyzed for the generalized nonlinear Schroedinger equations with arbitrary forms of nonlinearity and external potentials in arbitrary spatial dimensions.
arxiv   +1 more source