Results 41 to 50 of about 959,038 (319)

Jacobian elliptic Kummer surfaces and special function identities

, 2016
We derive formulas for the construction of all inequivalent Jacobian elliptic fibrations on the Kummer surface of two non-isogeneous elliptic curves from extremal rational elliptic surfaces by rational base transformations and quadratic twists.
Griffin, Elise, Malmendier, Andreas
core   +1 more source

Research on Enterprise Investment Decision Based on Linear Quadratic Jump Uncertainty Stochastic Differential Game

IEEE Access
Aiming at the objective uncertainty, subjective uncertainty, and extreme events may be in a dynamic system simultaneously. This paper focuses on the differential game problem of a linear quadratic jump uncertain stochastic system. The system is described
Lu Yang, Chengke Zhang, Tao Wang, Xin Chen   +3 more
doaj   +1 more source

Constructing Involutive Tableaux with Guillemin Normal Form [PDF]

, 2015
Involutivity is the algebraic property that guarantees solutions to an analytic and torsion-free exterior differential system or partial differential equation via the Cartan-K\"ahler theorem. Guillemin normal form establishes that the prolonged symbol of
Smith, Abraham D.
core   +2 more sources

Rigid Polynomial Differential Systems with Homogeneous Nonlinearities

Mathematics
Planar differential systems whose angular velocity is constant are called rigid or uniform differential systems. The first rigid system goes back to the pendulum clock of Christiaan Huygens in 1656; since then, the interest for the rigid systems has been
Jaume Llibre
doaj   +1 more source

Global Analysis of Riccati Quadratic Differential Systems

International Journal of Bifurcation and Chaos
In this paper, we study the family of quadratic Riccati differential systems. Our goal is to obtain the complete topological classification of this family on the Poincaré disk compactification of the plane. The family was partially studied before but never from a truly global viewpoint.
Artes, J.C., Llibre, J., Schlomiuk, D.I., Vulpe, N.I.   +3 more
openaire   +4 more sources

Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems

Journal of Differential Equations, 2017
In the present paper, we study the number of zeros of the first order Melnikov function for piecewise smooth polynomial differential system, to estimate the number of limit cycles bifurcated from the period annulus of quadratic isochronous centers, when ...
Xiuli Cen, Lijun Yang, Meirong Zhang
semanticscholar   +1 more source

A Game—Theoretic Model for a Stochastic Linear Quadratic Tracking Problem

Axioms, 2023
In this paper, we solve a stochastic linear quadratic tracking problem. The controlled dynamical system is modeled by a system of linear Itô differential equations subject to jump Markov perturbations.
Vasile Drăgan, Ivan Ganchev Ivanov, Ioan-Lucian Popa   +2 more
doaj   +1 more source

Numerical Computation of Takens-Bogdanov Points for Delay Differential Equations

, 2012
The paper presents a numerical technique for computing directly the Takens-Bogdanov points in the nonlinear system of differential equations with one constant delay and two parameters. By representing the delay differential equations as abstract ordinary
Mabonzo, Vital D., Xu, Yingxiang
core   +1 more source

Linear‐Quadratic Optimal Control Problems for Mean‐Field Stochastic Differential Equations with Jumps [PDF]

, 2016
In this paper, we study a linear‐quadratic optimal control problem for mean‐field stochastic differential equations driven by a Poisson random martingale measure and a one‐dimensional Brownian motion.
M. Tang, Qingxin Meng
semanticscholar   +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, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source