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Global asymptotic behavior of solutions of positively damped Liénard equations
Global attractors of non-autonomous quasi-homogeneous dynamical systems.
Global behavior of the components for the second order -point boundary value problems.
Global bifurcation for second-order Neumann problem with a set-valued term.
Global bifurcation from the Fučik spectrum
Global bifurcations in a dynamical model of recurrent neural networks
The dynamical behaviour of a continuous time recurrent neural network model with a special weight matrix is studied. The network contains several identical excitatory neurons and a single inhibitory one. This special construction enables us to reduce the dimension of the system and then fully characterize the local and global codimension-one bifurcations. It is shown that besides saddle-node and Andronov-Hopf bifurcations, homoclinic and cycle fold bifurcations may occur. These bifurcation curves...
Global canonical forms of linear differential equations
Global dynamics of a HIV transmission model.
Global existence and boundedness for quasi-variational systems.
Global existence of periodic solutions in a simplified four-neuron BAM neural network model with multiple delays.
Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment
This paper is concerned with an SIR model with periodic incidence rate and saturated treatment function. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of positive periodic solutions for this model. The result obtained improves and supplements existing ones. We also use numerical simulations to illustrate our theoretical results.
Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure
We investigate the Cohen-Grosberg differential equations with mixed delays and time-varying coefficient: Several useful results on the functional space of such functions like completeness and composition theorems are established. By using the fixed-point theorem and some properties of the doubly measure pseudo almost automorphic functions, a set of sufficient criteria are established to ensure the existence, uniqueness and global exponential stability of a -pseudo almost automorphic solution. The...
Global homoclinic bifurcation for damped systems.
Global Hopf bifurcation analysis for a time-delayed model of asset prices.
Global monotonicity and oscillation for second order differential equation
Oscillatory properties of the second order nonlinear equation are investigated. In particular, criteria for the existence of at least one oscillatory solution and for the global monotonicity properties of nonoscillatory solutions are established. The possible coexistence of oscillatory and nonoscillatory solutions is studied too.
Global positive solutions of a generalized logistic equation with bounded and unbounded coefficients.
Global properties of components of solutions of non-linear second order ordinary differential equations on the half-line
Global qualitative investigation, limit cycle bifurcations and Applications of Polynomial Dynamical Systems
Global solvability criteria for quaternionic Riccati equations
Some global existence criteria for quaternionic Riccati equations are established. Two of them are used to prove a completely non conjugation theorem for solutions of linear systems of ordinary differential equations.