Results 41 to 50 of about 6,899 (148)

Soliton solutions, Liouville integrability and gauge equivalence of Sasa Satsuma equation

open access: yes, 1999
Exact integrability of the Sasa Satsuma eqation (SSE) in the Liouville sense is established by showing the existence of an infinite set of conservation laws.
Ghosh, Sasanka   +2 more
core   +1 more source

Event-based recursive distributed filtering over wireless sensor networks [PDF]

open access: yes, 2015
In this technical note, the distributed filtering problem is investigated for a class of discrete time-varying systems with an event-based communication mechanism.
He, X, Liu, Q, Wang, Z, Zhou, DH
core   +1 more source

The role of identification in data‐driven policy iteration: A system theoretic study

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley   +1 more source

Option pricing for Heston model with tempered fractional Brownian motion

open access: yesResults in Applied Mathematics
In this paper, the Heston model with tempered fractional Brownian motion is derived by modified Hawkes processes. Based on the affine technique, we present the characteristic function under this model and prove the existence, uniqueness, and regularity ...
Zhengguang Shi
doaj   +1 more source

The Soliton Equations associated with the Affine Kac-Moody Lie Algebra G_2^{(1)} [PDF]

open access: yes, 2006
We construct in an explict way the soliton equation corresponding to the affine Kac--Moody Lie algebra $G_2^{(1)}$ together with their bihamiltonian structure.
Casati, Paolo   +2 more
core   +3 more sources

A Short‐Rate Model With Stochastic Long‐Term Mean and Volterra‐Type Memory: Risk Implications for Bonds and Option Pricing

open access: yesApplied Stochastic Models in Business and Industry, Volume 42, Issue 3, May/June 2026.
ABSTRACT Traditional short‐rate models introduce volatility directly into the instantaneous rate via Brownian shocks. However, empirical data suggest that short‐term interest rates exhibit smoother behavior than such models imply. We propose a two‐factor Gaussian short‐rate model in which the short rate is a deterministic exponential filter of a ...
Allan Jonathan da Silva
wiley   +1 more source

Group theoretical approach to the intertwined Hamiltonians

open access: yes, 2001
We show that the finite difference B\"acklund formula for the Schr\"odinger Hamiltonians is a particular element of the transformation group on the set of Riccati equations considered by two of us in a previous paper.
Adler   +52 more
core   +2 more sources

Macroscopic Market Making Games

open access: yesMathematical Finance, Volume 36, Issue 2, Page 352-373, April 2026.
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley   +1 more source

An exactly solvable self-convolutive recurrence [PDF]

open access: yes, 2010
We consider a self-convolutive recurrence whose solution is the sequence of coefficients in the asymptotic expansion of the logarithmic derivative of the confluent hypergeometic function $U(a,b,z)$. By application of the Hilbert transform we convert this
C.M. Bender   +15 more
core   +1 more source

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

open access: yesInternational Journal of Adaptive Control and Signal Processing, Volume 40, Issue 3, Page 544-564, March 2026.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source

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