Global Hopf bifurcation in the ZIP regulatory system [PDF]
Regulation of zinc uptake in roots of Arabidopsis thaliana has recently been modeled by a system of ordinary differential equations based on the uptake of zinc, expression of a transporter protein and the interaction between an activator and inhibitor ...
Ptashnyk, Mariya +4 more
core +1 more source
The Nonlinear Dynamics of a MEMS Resonator with a Triangular Tuning Comb
The nonlinear dynamic response of a MEMS resonator with a triangular tuning comb is studied. The motion equation with dis-smooth tuning electrostatic force is derived according to Newton’s second law.
Lijuan Zhang +5 more
doaj +1 more source
Critical Point for Bifurcation Cascades and Featureless Turbulence [PDF]
In this Letter we show that a bifurcation cascade and fully sustained turbulence can share the phase space of a fluid flow system, resulting in the presence of competing stable attractors. We analyse the toroidal pipe flow, which undergoes subcritical transition to turbulence at low pipe curvatures and supercritical transition at high curvatures, as ...
Jacopo Canton +3 more
openaire +4 more sources
Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model
In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan +2 more
doaj +1 more source
Hegemony and Bifurcation Points in World History
Examination of the rise and fall of hegemons over the last 500 years reveals that each lasts about 100 years, with another 100 year period between hegemons that is characterized by rough balance among shifting powers frequent major wars.
Terry Boswell
doaj +1 more source
Bogdanov–Takens bifurcation of a Holling IV prey–predator model with constant-effort harvesting
A prey–predator model with constant-effort harvesting on the prey and predators is investigated in this paper. First, we discuss the number and type of the equilibria by analyzing the equations of equilibria and the distribution of eigenvalues.
Lifang Cheng, Litao Zhang
doaj +1 more source
Quantum entanglement and fixed-point bifurcations [PDF]
v2: Structure of the paper changed for clarity, reduced length, now 9 pages with 6 ...
Hines, A. P. +2 more
openaire +7 more sources
Bifurcation Analysis in a Discrete-Time Prey-Predator System With Crowly- Martin Functional Response
In this paper, a discrete time prey-predator system with Crowly- Martin functional response was studied. The fixed points of the model are obtained, and their stability is analyzed. Further existence of bifurcation analysis at each fixed points and Hopf
Jaza Omer Muhammed, Kawa Ahmed Hassan
doaj +1 more source
Chaotic Behaviour in Two-parameter Family of Transcendental Functions Associated with Exponential Map [PDF]
This article is devoted to the study of chaos and bifurcation in the real dynamics of a newly proposed two-parameter family of transcendental functions. We assume that one parameter is continuous and other parameter is discrete.
Mohammad Sajid, Abdullah S. Alsuwaiyan
doaj +1 more source
Trans-heteroclinic bifurcation: a novel type of catastrophic shift [PDF]
Global and local bifurcations are extremely important since they govern the transitions between different qualitative regimes in dynamical systems. These transitions or tipping points, which are ubiquitous in nature, can be smooth or catastrophic. Smooth
Josep Sardanyés +2 more
doaj +1 more source

