Travelling solitary waves in the discrete nonlinear Schrodinger equation with saturable nonlinearity: existence, stability and dynamics [PDF]
, 2007 The present work examines in detail the existence, stability and dynamics of travelling solitary waves in dynamical lattices with saturable nonlinearity.
Melvin, TRO. +14 more
core +1 more source
On finite time delay dependent stability of linear discrete delay systems: Numerical solution approach [PDF]
Scientific Technical Review, 2015 In this paper, a possible solution of the basic nonlinear quadratic matrix equation was proposed. The solution is crucial in the formulation of the particular criteria for the delay-dependent finite time stability of discrete time delay systems ...
Debeljković Dragutin +4 more
doaj
Existence and Uniqueness of the Positive Definite Solution for the Matrix Equation X=Q+A∗(X^−C)−1A
Abstract and Applied Analysis, 2013 We consider the nonlinear matrix equation X=Q+A∗(X^−C)−1A, where Q is positive definite, C is positive semidefinite, and X^ is the block diagonal matrix defined by X^=diag(X,X,…,X).
Dongjie Gao
doaj +1 more source
Condition Numbers of the Nonlinear Matrix Equation Xp-A⁎eXA=I
Journal of Function Spaces, 2018 We explore the condition numbers of the nonlinear matrix equation Xp-A⁎eXA=I. Explicit expressions for the normwise, mixed, and componentwise condition numbers are derived.
Chacha Stephen Chacha +1 more
doaj +1 more source
The Extrinsic Geometry of Dynamical Systems Tracking Nonlinear Matrix Projections [PDF]
, 2020 A generalization of the concepts of extrinsic curvature and Weingarten endomorphism is introduced to study a class of nonlinear maps over embedded matrix manifolds. These (nonlinear) oblique projections generalize (nonlinear) orthogonal projections, i.e.,
Lermusiaux, Pierre F. J. +1 more
core +1 more source
Nonlinear Schrödinger type tetrahedron maps
Nuclear Physics B, 2020 This paper is concerned with the construction of new solutions in terms of birational maps to the functional tetrahedron equation and parametric tetrahedron equation.
S. Konstantinou-Rizos
doaj +1 more source
Positive definite solutions of the nonlinear matrix equation X+AH X̄⁻¹ A=I [PDF]
, 2013 This paper is concerned with the positive definite solutions to the nonlinear matrix equation X+AHX̄-1A=I where X is the unknown and A is a given complex matrix.
Zhou, B, Lam, J, Cai, GB
core +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
Perturbed conformal field theory, nonlinear integral equations and spectral problems [PDF]
, 2000 This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories.
Dunning, Tania Clare +2 more
core
Application of M-matrices theory to numerical investigation of a nonlinear elliptic equation with an integral condition [PDF]
, 2017 The iterative methods to solve the system of the difference equations derived from the nonlinear elliptic equation with integral condition are considered.
Sapagovas, Mifodijus +5 more
core +2 more sources