Results 41 to 50 of about 810,503 (294)
In this article, we investigate the existence and the precise form of finite-order transcendental entire solutions of some system of Fermat-type quadratic binomial and trinomial shift equations in Cn{{\mathbb{C}}}^{n}. Our results are the generalizations
Haldar Goutam, Banerjee Abhijit
doaj +1 more source
Enhanced squeezing with parity kicks
Using exponential quadratic operators, we present a general framework for studying the exact dynamics of system-bath interaction in which the Hamiltonian is described by the quadratic form of bosonic operators.
C. W. Gardiner +8 more
core +1 more source
Quadratic transformations for orthogonal polynomials in one and two variables [PDF]
We discuss quadratic transformations for orthogonal polynomials in one and two variables. In the one-variable case we list many (or all) quadratic transformations between families in the Askey scheme or $q$-Askey scheme. In the two-variable case we focus,
Koornwinder, Tom H.
core +2 more sources
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source
Spin dynamics in lattices of spinor atoms with quadratic Zeeman effect
A lattice system of spinor atoms or molecules experiencing quadratic Zeeman effect is considered. This can be an optical lattice with sufficiently deep wells at lattice sites, so that the system is in an isolating state, where atoms are well localized ...
Yukalov, V. I., Yukalova, E. P.
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
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
Hopf Bifurcation of Three-Dimensional Quadratic Jerk System
This paper is devoted to investigating the Hopf bifurcation of a three-dimensional quadratic jerk system. The stability of the singular points, the appearance of the Hopf bifurcation and the limit cycles of the system are studied.
Tahsin I. Rasul , Rizgar H. Salih
doaj +1 more source
Generalized MICZ-Kepler system, duality, polynomial and deformed oscillator algebras
We present the quadratic algebra of the generalized MICZ-Kepler system in three-dimensional Euclidean space $E_{3}$ and its dual the four dimensional singular oscillator in four-dimensional Euclidean space $E_{4}$.
Ian Marquette +2 more
core +1 more source
Directed Animals, Quadratic Systems and Rewriting Systems [PDF]
A directed animal is a percolation cluster in the directed site percolation model. The aim of this paper is to exhibit a strong relation between the problem of computing the generating function G of directed animals on the square lattice, counted according to the area and the perimeter, and the problem of solving a system of quadratic equations ...
openaire +2 more sources
Optimal Monomial Quadratization for ODE Systems [PDF]
Quadratization problem is, given a system of ODEs with polynomial right-hand side, transform the system to a system with quadratic right-hand side by introducing new variables. Such transformations have been used, for example, as a preprocessing step by model order reduction methods and for transforming chemical reaction networks.
Bychkov, Andrey, Pogudin, Gleb
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