Lagrangian stability of a class of second-order periodic systems.
Liapunov Functions and Error Bounds for Approximate Solutions of Ordinary Differential Equations.
Limit Circle Results for Second Order Equations.
Linear impulsive dynamic systems on time scales.
Linear stability theory of solitary waves arising from Hamiltonian systems with symmetry
Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via Riccati equations.
Linearized stability results in continuous interpolation spaces
Local Bifurcations in a Nonlinear Model of a Bioreactor
This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02– 359/2008.We consider a nonlinear model of a continuously stirred bioreactor and study the stability of the equilibrium points with respect to practically important model parameters. We determine regions in the parameter space where the steady states undergo transcritical and Hopf bifurcations. In the latter case, the stability of the emerged limit cycles is also studied. Numerical simulations in the computer algebra...
Local method of nonlinear analysis
Lyapunov stability and stability at constantly acting disturbances of an abstract differential equation of the second order
Lyapunov stability of quasilinear implicit dynamic equations on time scales.
Lyapunov stability theory for dynamic systems on time scales.