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
Multi-parameter uncertainty analysis of a bifurcation point [PDF]
Parameter uncertainty analysis of climate models has become a standard approach for model validation and testing their sensitivity. Here we present a novel approach that allows one to estimate the robustness of a bifurcation point in a multi-parameter ...
B. Knopf, M. Flechsig, K. Zickfeld
doaj
Investigation of Early Warning Indexes in a Three-Dimensional Chaotic System with Zero Eigenvalues
A rare three-dimensional chaotic system with all eigenvalues equal to zero is proposed, and its dynamical properties are investigated. The chaotic system has one equilibrium point at the origin.
Lianyu Chen +4 more
doaj +1 more source
Dynamic Behaviors of a Two-Degree-of-Freedom Impact Oscillator with Two-Sided Constraints
The dynamic model of a vibroimpact system subjected to harmonic excitation with symmetric elastic constraints is investigated with analytical and numerical methods.
Songtao Li, Qunhong Li, Zhongchuan Meng
doaj +1 more source
Control based bifurcation analysis for experiments [PDF]
We introduce a method for tracking nonlinear oscillations and their bifurcations in nonlinear dynamical systems. Our method does not require a mathematical model of the dynamical system nor the ability to set its initial conditions.
Krauskopf, B., Sieber, J.
core +2 more sources
Some Modified Bifurcation Problems with Application to Imperfection Sensitivity in Buckling [PDF]
The branching theory of solutions of certain nonlinear elliptic partial differential equations is developed, when the nonlinear term is perturbed from unforced to forced.
Keener, James Paul
core +1 more source
Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research
What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
wiley +1 more source
Hopf bifurcation from a turning point. [PDF]
The classical Hopf bifurcation theorem proves the bifurcation of periodic solutions from a branch of steady states for ODE's (or some types of parabolic PDE's) depending on one real parameter if (i) this branch can be parameterized over this parameter set and (ii) if the dimension of the unstable manifold of the steady states changes at a certain ...
openaire +2 more sources
Recent insights into the molecular mechanism of ubiquinol oxidation by cytochrome bc1
The review reflects on the mechanism of the catalytic reaction in cytochrome bc1: the electron bifurcation that involves the separation of two electrons derived from the quinol oxidation to opposite sides of the enzyme across the membrane. This review summarizes the long‐standing effort to understand the mechanism of quinol oxidation catalyzed by ...
Anna Wójcik‐Augustyn +2 more
wiley +1 more source
Bifurcation analysis of a multi-transverse-mode VCSEL [PDF]
We study the behaviour of a multi-transverse-mode vertical-cavity surface-emitting laser subject to optical feedback in which the optical modes are coupled through the external round-trip. Starting from a delayed partial differential equation description
Green, K, Green, K., Krauskopf, B
core +1 more source

