The Bogdanov-Takens bifurcation study of 2m coupled neurons system with 2m+1$2m+1$ delays
نویسندگان
چکیده
In this paper the Bogdanov-Takens (BT) bifurcation of an 2m coupled neurons network model with multiple delays is studied, where one neuron is excitatory and the next is inhibitory. When the origin of the model has a double zero eigenvalue, by using center manifold reduction of delay differential equations (DDEs), the second-order and third-order universal unfoldings of the normal forms are deduced, respectively. Some bifurcation diagrams and numerical simulations are presented to verify our main results.
منابع مشابه
بررسی میزان سرمی بتادومیکروگلوبولین (S?2M) در بیماران تحت درمان نگهدارنده همودیالیز با غشا سلولزی1
?2 microglobulin (?2M) fibril has been recognized as the major factor of dialysis-related amyloidosis. Elevated serum levels are thought to be the basis for tissue deposition. In order to evaluate the effect of cellulosis membrane (FB 110) and treatment duration on S?2M levels, we determined serum levels in 23 hemodialyzed patients with end-stage renal failure. S?2M levels were markedly elevate...
متن کاملCYCLIC POTENTIODYNAMIC POLARIZATION STUDY OF TERNARY PB -SN-CA ALLOY IN 2M H_2SO_4 SOLUTION
In this paper redox reaction processes and phase, formation on ternary Pb-2Sn-0.08Ca alloy utilized as insoluble lead anodes in copper electro winning cells, were investigated in 2M H__2SO__4 electrolytes, using cyclic voltammetry technique (CVA). A potential range between - 1.3V to 2.6V was chosen at various scan rates in order to study the anodic behavior and phase composition of the oxide la...
متن کاملA Priori Bounds and a Liouville Theorem on a Half-space for Higher-order Elliptic Dirichlet Problems
We consider the 2m-th order elliptic boundary value problem Lu = f(x, u) on a bounded smooth domain Ω ⊂ R with Dirichlet boundary conditions u = ∂ ∂ν u = . . . = ( ∂ ∂ν )u = 0 on ∂Ω. The operator L is a uniformly elliptic operator of order 2m given by L = ( − ∑N i,j=1 aij(x) ∂ ∂xi∂xj )m + ∑ |α|≤2m−1 bα(x)D . For the nonlinearity we assume that lims→∞ f(x,s) sq = h(x), lims→−∞ f(x,s) |s|q = k(x)...
متن کاملAn Investigation of the Relationship between Beta-2 Microglobulin (β2M) and Inflammatory Factors (Serum Levels of CRP and Albumin) and High Density Lipoproteins (HDL) in Hemodialysis Patients
Background and Objective: Beta-2 Microglobulin (β2M) is a middle molecular weight uremic toxin. Lack of β2M removal leads to β2M accumulation and amyloidosis in hemodialysis patients. The present research aims to determine the relationship between β2M and inflammatory factors, such as C-reactive protein (CRP), albumin, and high-density lipoprotein (HDL) in hemodialysis patie...
متن کاملVast Multiplicity of Very Singular Self-similar Solutions of a Semilinear Higher-order Diffusion Equation with Time-dependent Absorption
As a basic model, the Cauchy problem in R × R+ for the 2mth-order semilinear parabolic equation of the diffusion-absorption type ut = −(−∆) u− t|u|u, with p > 1, α > 0, m ≥ 2, with singular initial data u0 6= 0 such that u0(x) = 0 for any x 6= 0 is studied. The additional multiplier h(t) = t → 0 as t → 0 in the absorption term plays a role of timedependent non-homogeneous potential that affects...
متن کامل