Acceleration of implicit schemes for large systems of nonlinear ODEs.
Acceleration of Runge-Kutta integration schemes.
Accessible sets for a control system
Accompanying spaces to a linear two-dimensional space of continuous functions with a continuous first derivative
Accurate computation of higher Sturm-Liouville eigenvalues.
Accurate reduction of a model of circadian rhythms by delayed quasi-steady state assumptions
Quasi-steady state assumptions are often used to simplify complex systems of ordinary differential equations in the modelling of biochemical processes. The simplified system is designed to have the same qualitative properties as the original system and to have a small number of variables. This enables to use the stability and bifurcation analysis to reveal a deeper structure in the dynamics of the original system. This contribution shows that introducing delays to quasi-steady state assumptions...
Accurate WKB Approximation for a 1D Problem with Low Regularity
2000 Mathematics Subject Classification: 34L40, 65L10, 65Z05, 81Q20.This article is concerned with the analysis of the WKB expansion in a classically forbidden region for a one dimensional boundary value Schrodinger equation with a non smooth potential. The assumed regularity of the potential is the one coming from a non linear problem and seems to be the critical one for which a good exponential decay estimate can be proved for the first remainder term. The treatment of the boundary conditions brings...
Active scalars and the Euler equations
Adams Methods for Neutral Functional Differential Equations.
Adaptive control of chaos in Chua's circuit.
Adaptive control of uncertain nonholonomic systems in finite time
In this paper, the finite-time stabilization problem of chained form systems with parametric uncertainties is investigated. A novel switching control strategy is proposed for adaptive finite-time control design with the help of Lyapunov-based method and time-rescaling technique. With the proposed control law, the uncertain closed-loop system under consideration is finite-time stable within a given settling time. An illustrative example is also given to show the effectiveness of the proposed controller....
Adaptive finite element methods for elliptic problems: Abstract framework and applications
We consider a general abstract framework of a continuous elliptic problem set on a Hilbert space V that is approximated by a family of (discrete) problems set on a finite-dimensional space of finite dimension not necessarily included into V. We give a series of realistic conditions on an error estimator that allows to conclude that the marking strategy of bulk type leads to the geometric convergence of the adaptive algorithm. These conditions are then verified for different concrete problems...
Adaptive finite-time synchronization of cross-strict feedback hyperchaotic systems with parameter uncertainties
This paper is concerned with the finite-time synchronization problem for a class of cross-strict feedback underactuated hyperchaotic systems. Using finite-time control and backstepping control approaches, a new robust adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. Appropriate adaptive laws are derived to deal with the unknown parameters of the systems. The proposed method can be applied to a variety...
Adaptive pinning synchronization of complex networks with stochastic perturbations.
Adaptive tracking via pinning in networks of nonidentical nodes
We investigate the control of dynamical networks for the case of nodes, that although different, can be make passive by feedback. The so-called V-stability characterization allows for a simple set of stabilization conditions even in the case of nonidentical nodes. This is due to the fact that under V-stability characterization the dynamical difference between node of a network reduces to their different passivity degrees, that is, a measure of the required feedback gain necessary to make the node...
Addenda to “Periodic solutions of with arbitrarily large period”
Addendum and corrigendum to the paper "Some applications of Zygmund's lemma to non-linear differential equations in Banach and Hilbert spaces" (Studia Math., 44 (1972), pp. 335-344)
Addendum to a paper of Craig and Goodman.
Addendum to: “Alternative analysis generated by a differential equation”.
Addendum to asymptotic stability in differential equations with unbounded delay.