Results 31 to 40 of about 2,347,328 (291)

Emerging criticality at bifurcation points in heteroclinic dynamics

open access: yesPhysical Review Research, 2020
Heteroclinic dynamics is a suitable framework to describe transient dynamics that is characteristic for ecological as well as neural systems, in particular for cognitive processes.
Maximilian Voit   +1 more
doaj   +1 more source

Analysis of stationary points and their bifurcations in the ABC -flow [PDF]

open access: yesApplied Mathematics and Computation, 2018
Analytical expressions for coordinates of stationary points and conditions for their existence in the ABC flow are received. The type of the stationary points is shown analytically to be saddle-node. Exact expressions for eigenvalues and eigenvectors of the stability matrix are given.
A. A. Didov, M. Yu. Uleysky
openaire   +3 more sources

Critical points and symmetries of a free energy function for biaxial nematic liquid crystals [PDF]

open access: yes, 2015
We describe a general mean field model for the free energy function for a homogeneous medium of mutually interacting molecules, based on the formalism for a biaxial nematic liquid crystal set out by Katriel et al (1986) in an influential paper in Liquid ...
Chillingworth, David   +2 more
core   +1 more source

Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillator [PDF]

open access: yesОмский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение"
In this paper, experimental waveforms of the bifurcation phenomena in a Duffing oscillator weakly damped by viscous friction. The bifurcation points are found by solving the numerical solution of a harmonically linearized system with respect to the ...
B. A. Kalashnikov   +2 more
doaj   +1 more source

Bifurcation analysis of a three species discrete-time predator-prey model

open access: yesAlexandria Engineering Journal, 2022
We explore local dynamics at fixed points, existence of periodic points and bifurcation analysis of a three species discrete predator-prey model. More precisely, it is explored that model has trivial fixed point, five boundary fixed points and the ...
A.Q. Khan, S.M. Qureshi, A.M. Alotaibi
doaj   +1 more source

Dynamics and Bifurcation for One Non-linear System

open access: yesScience, Engineering and Technology, 2023
In this paper, we observed the ordinary differential equation (ODE) system and determined the equilibrium points. To characterize them, we used the existing theory developed to visualize the behavior of the system.
Vahidin Hadžiabdić   +3 more
doaj   +1 more source

Bifurcation of Fredholm maps II; The dimension of the set of bifurcation points [PDF]

open access: yes, 2011
We obtain an estimate for the covering dimension of the set of bifurcation points for solutions of nonlinear elliptic boundary value problems from the principal symbol of the linearization along the trivial branch of ...
Pejsachowicz, Jacobo
core  

Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research

open access: yesFEBS Letters, EarlyView.
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

PROBLEMS OF ECONOMY MANAGEMENT IN THE LIGHT OF COMPLEXITY THEORY

open access: yesУправленческие науки, 2015
The article presents the results of the fi research on the problems of governing a state with the use of the methodology of complexity theory (cybernetic epistemology) The toolkit allowed the authors to conclude that the complex, dissipative system of ...
S. Kretov
doaj   +1 more source

Hopf bifurcation from a turning point. [PDF]

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1985
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

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