Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay.
Stability and convergence in strongly monotone dynamical systems.
Stability and genericity in dynamical systems
Stability and gradient dynamical systems.
The objective in these notes is to present an approach to dynamical systems in infinite dimensions. It does not seem reasonable to make a comparison of all of the orbits of the dynamics of two systems on non locally compact infinite dimensional spaces. Therefore, we choose to compare them on the set of globally defined bounded solutions. Fundamental problems are posed and several important results are stated when this set is compact. We then give results on the dynamical system which will ensure...
Stability and instability for Gevrey quasi-convex near-integrable hamiltonian systems
Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type
2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type. By applying the abstract results of Grillakis, Shatah and Strauss and detailed spectral analysis, we obtain the existence and stability of the solitary waves.Partially Supported by Grant MM-810/98 of MESC and by Scientefic Research Grant 19/12.03.2003 of Shumen University.
Stability and Uniqueness Properties of the Equator Map from a Ball into an Ellipsoid.
Stability, bifurcation, and chaos in -firm nonlinear Cournot games.
Stability conditions of a queueing system model via fluid limits
We study the ergodicity of a multi-class queueing model via fluid limits which have the advantage of describing the model in macroscopic form. We consider a model of processing bandwidth requests. Our system is defined by a network of capacity C=N, and a queue which contains an infinite number of items of various sizes 1, a' and b' with 1 < a' < b' < N. The problem considered is: Under what conditions on the parameters of some large classes of networks, do they reach the stationary regime?...
Stability in a ball-partition problem.
Stability, instability and complex behavior in macrodynamic models with policy lag.
Stability investigation of quadratic systems with delay.
Stability is not open
We give an example of a symplectic manifold with a stable hypersurface such that nearby hypersurfaces are typically unstable.
Stability modulo singular sets
A new concept of stability, closely related to that of structural stability, is introduced and applied to the study of C¹ endomorphisms with singularities. A map that is stable in this sense is conjugate to each perturbation that is equivalent to it in a geometric sense. It is shown that this kind of stability implies Axiom A and Ω-stability, and that every critical point is wandering. A partial converse is also shown, providing new examples of C³ structurally stable maps.
Stability of a time discrete perturbed dynamical systems with delay.
Stability of Caustics.
Stability of closed characteristics on compact convex hypersurfaces in
Stability of compact actions of Rn of codimensional one.
Stability of equilibrium points of fractional difference equations with stochastic perturbations.
Stability of fixed points for order-preserving discrete-time dynamical systems.