Results 101 to 110 of about 1,823 (264)

A Novel Optimized Local Linearization Hybrid Block Method for Chaotic Systems: Applications to Stretch‐Twist‐Fold Flow and Bond Orbital Chaotic Attractors

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley   +1 more source

Lengths of central linear generalized polynomials in matrix algebras

Linear Algebra and its Applications, 2011
Let \(D\) be a division algebra finite-dimensional over its center \(C\) and let \(A=M_{m}(D)\), the \(m\times m\) matrix ring over \(D\). By the length of a linear generalized polynomial (GP) \(\phi (X)\), the authors mean the least positive integer \(n\) such that \(\phi (X)\) can be represented in the form \(\sum_{i=1}^n a_iXb_i\) for some \(a_i,b_i
Chuang, Chen-Lian, Lee, Tsiu-Kwen
openaire   +3 more sources

Linear Hamiltonian behaviors and bilinear differential forms [PDF]

, 2004
We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to ...
Rapisarda, P., Trentelman, H.L., Trentelman, H.L.,, Rapisarda, P, Rapisarda, P.,, Trentelman, HL, Rapisarda, Paolo, Trentelman, Harry L.   +7 more
core   +1 more source

Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal, Ana Jacinta Soares, Maria Joana Torres   +2 more
wiley   +1 more source

Chalykh's Baker-Akhiezer functions as eigenfunctions of the integer-ray integrable systems

Nuclear Physics B
Macdonald symmetric polynomial at t=q−m reduces to a sum of much simpler complementary non-symmetric polynomials, which satisfy a simple system of the first order linear difference equations with constant coefficients, much simpler than those induced by ...
A. Mironov, A. Morozov, A. Popolitov
doaj   +1 more source

On the state of behaviors

, 2007
The theme of the present paper is the study of the concept of state and the corresponding state maps in the context of Willems’ behavioral theory.
Fuhrmann, Paul A., Rapisarda, P., Yamamoto, Yutaka, Fuhrmann, P.A., Yamamoto, Y., Rapisarda, Paolo   +5 more
core   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Analysis of a Novel Time‐Continuous Dimer Growth Model Describing One Possible Cause of Alzheimer's Disease and a Time‐Discretization for Its Numerical Simulation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley   +1 more source

Tropical Solution of Discrete Best Approximation Problems

Mathematics
We consider discrete best approximation problems in the setting of tropical algebra, which is concerned with the theory and application of algebraic systems with idempotent operations. Given a set of input–output pairs of an unknown function defined on a
Nikolai Krivulin
doaj   +1 more source