Results 91 to 100 of about 143 (134)

© Hindawi Publishing Corp. A MIN-MAX THEOREM AND ITS APPLICATIONS TO NONCONSERVATIVE SYSTEMS

open access: yes, 2002
A nonvariational generation of a min-max principle by A. Lazer is made. And it is used to prove a new existence results for a nonconservative systems of ordinary differential equations with resonance. 2000 Mathematics Subject Classification: 34C25, 49J35.
Li Weiguo, Li Hongjie
core  

Bifurcation of limit cycles in a class of piecewise smooth generalized Abel equations with two asymmetric zones

open access: yesAdvanced Nonlinear Studies
This paper studies the number of limit cycles, known as the Smale-Pugh problem, for the generalized Abel equationdxdθ=A(θ)xp+B(θ)xq, $$\frac{\mathrm{d}x}{\mathrm{d}\theta }=A\left(\theta \right){x}^{p}+B\left(\theta \right){x}^{q},$$ where A and B are ...
Liang Haihua, Huang Jianfeng
doaj   +1 more source

Relaxation Oscillations in a Class of Predator-Prey Systems

open access: yes, 2001
AMS Subject Classifications: Primary 34C25, 92D25; Secondary 58F14.We consider a class of three dimensional, singularly perturbed predator-prey systems having two predators competing exploitatively for the same prey in a constant environment.
Xiao, Dongmei, Liu, Weishi, Yi, Yingfei
core  

Neurologically Motivated Coupling Functions in Models of Motor Coordination. [PDF]

open access: yesSIAM J Appl Dyn Syst, 2020
Słowiński P   +2 more
europepmc   +1 more source

On Periodic Solutions Of Systems Of Linear Functional Differential Equations

open access: yes, 2007
. This paper deals with the system of functional-differential equations dx(t) dt = p(x)(t) + q(t); where p : C! (R n ) ! L! (R n ) is a linear bounded operator, q 2 L! (R n ), ! ? 0 and C! (R n ) and L!
Ivan Kiguradze, C (r
core  

Minimal Models of Bursting Neurons: How Multiple Currents, Conductances, and Timescales Affect Bifurcation Diagrams *

open access: yes, 2004
. After reviewing the Hodgkin-Huxley ionic current formulation, we introduce a three-variable generic model of a single-compartment neuron comprising a two-dimensional fast subsystem and a very slow recovery variable.
Systems C, Siam J Applied
core  

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