Neimark-Sacker bifurcation in a discrete-time financial system.
Nekhoroshev stability for the D’Alembert problem of Celestial Mechanics
The classical D’Alembert Hamiltonian model for a rotational oblate planet revolving near a «day-year» resonance around a fixed star on a Keplerian ellipse is considered. Notwithstanding the strong degeneracies of the model, stability results a là Nekhoroshev (i.e. for times which are exponentially long in the perturbative parameters) for the angular momentum of the planet hold.
New feedback functions for synchronizing chaotic maps.
New improved exponential stability criteria for discrete-time neural networks with time-varying delay.
New links and reductions between the Brockett nonholonomic integrator and related systems.
Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems
We study the global attractor of the non-autonomous 2D Navier–Stokes system with time-dependent external force . We assume that is a translation compact function and the corresponding Grashof number is small. Then the global attractor has a simple structure: it is the closure of all the values of the unique bounded complete trajectory of the Navier–Stokes system. In particular, if is a quasiperiodic function with respect to , then the attractor is a continuous image of a torus. Moreover the...
Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems
We study the global attractor of the non-autonomous 2D Navier–Stokes system with time-dependent external force g(x,t). We assume that g(x,t) is a translation compact function and the corresponding Grashof number is small. Then the global attractor has a simple structure: it is the closure of all the values of the unique bounded complete trajectory of the Navier–Stokes system. In particular, if g(x,t) is a quasiperiodic function with respect to t, then the attractor is a continuous image...
Nonautonomous dynamical systems and associated fields. (Systèmes dynamiques nonautonomous et des champs associés.)
Noninvasive monitoring of hepatic damage from hepatitis C virus infection.
Non-linear analysis approach of maternal heart rate patterns in normal pre-eclamptic pregnancies.
Nonlinear and dynamic aerodynamic models for commercial transport aircraft with adverse weather effects.
Nonlinear control of chaotic systems: a switching manifold approach.
Nonlinear dynamics and chaos in a fractional-order HIV model.
Nonlinear feedback control of spatiotemporal chaos in coupled map lattices.
Nonlinear filtering of oscillatory measurements in cardiovascular applications.
Nonlinear observers for locally uniformly observable systems
This paper deals with the observability analysis and the observer synthesis of a class of nonlinear systems. In the single output case, it is known [4, 5, 6] that systems which are observable independently of the inputs, admit an observable canonical form. These systems are called uniformly observable systems. Moreover, a high gain observer for these systems can be designed on the basis of this canonical form. In this paper, we extend the above results to multi-output uniformly observable systems....
Nonlinear observers for locally uniformly observable systems
This paper deals with the observability analysis and the observer synthesis of a class of nonlinear systems. In the single output case, it is known [4-6] that systems which are observable independently of the inputs, admit an observable canonical form. These systems are called uniformly observable systems. Moreover, a high gain observer for these systems can be designed on the basis of this canonical form. In this paper, we extend the above results to multi-output uniformly observable systems....
Nonlinearity in social dynamics -- order versus chaos.
Numerical Approximations of the Dynamical System Generated by Burgers’ Equation with Neumann–Dirichlet Boundary Conditions
Using Burgers’ equation with mixed Neumann–Dirichlet boundary conditions, we highlight a problem that can arise in the numerical approximation of nonlinear dynamical systems on computers with a finite precision floating point number system. We describe the dynamical system generated by Burgers’ equation with mixed boundary conditions, summarize some of its properties and analyze the equilibrium states for finite dimensional dynamical systems that are generated by numerical approximations of this...
Numerical exploration of Kaldorian interregional macrodynamics: enhanced stability and predominance of period doubling under flexible exchange rates.