General linear methods: connection to one step methods and invariant curves.
Generalization of the theorem on the argument of almost periodic function
Generalized Hopf bifurcations and applications to planar quadratic systems
Gestörte Verzweigung bei Potentialoperatoren.
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 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 Hopf bifurcation analysis for a time-delayed model of asset prices.
Global positive solutions of a generalized logistic equation with bounded and unbounded coefficients.