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.
Numerical exploration of Kaldorian macrodynamics: Enhanced stability and predominance of period doubling and chaos with flexible exchange rates.
Numerical exploration of Kaldorian macrodynamics: Hopf-Neimark bifurcations and business cycles with fixed exchange rates.
Numerical simulations through first order nonlinear difference equation to study highly ductile symmetric fold (HDSF) dynamics: A conceptual study.
Numerical solutions of a fractional predator-prey system.
On a conjecture for the critical behaviour of KAM tori.
On a criterion of Yakubovich type for the absolute stability of nonautonomous control processes.
On characterization of the solution set in case of generalized semiflow
In the paper, a possible characterization of a chaotic behavior for the generalized semiflows in finite time is presented. As a main result, it is proven that under specific conditions there is at least one trajectory of generalized semiflow, which lies inside an arbitrary covering of the solution set. The trajectory mutually connects each subset of the covering. A connection with symbolic dynamical systems is mentioned and a possible numerical method of analysis of dynamical behavior is outlined....
On circle map coupled map lattice.