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Stability of Linear Continuous Singular and Discrete Descriptor Systems over Infinite and Finite Time Interval [PDF]

, 2011
1.1 Classes of systems to be considered It should be noticed that in some systems we must consider their character of dynamic and static state at the same time. Singular systems (also referred to as degenerate, descriptor, generalized, differential-algebraic systems or semi-state) are those, the dynamics of which are governed by a mixture of algebraic ...
Dragutin Lj., Tamara Nestorovi
openaire   +1 more source

Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry

Journal of High Energy Physics, 2021
We further exploit the relation between tropical Grassmannians and Gr(4, n) cluster algebras in order to make and refine predictions for the singularities of scattering amplitudes in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills theory at higher ...
Niklas Henke, Georgios Papathanasiou
doaj   +1 more source

Prescriptive unitarity for non-planar six-particle amplitudes at two loops

Journal of High Energy Physics, 2019
We extend the applications of prescriptive unitarity beyond the planar limit to provide local, polylogarithmic, integrand-level representations of six-particle MHV scattering amplitudes in both maximally supersymmetric Yang-Mills theory and gravity.
Jacob L. Bourjaily, Enrico Herrmann, Cameron Langer, Andrew J. McLeod, Jaroslav Trnka   +4 more
doaj   +1 more source

Indefinite causal structures for continuous-variable systems

New Journal of Physics, 2016
In all our well-established theories, it is assumed that events are embedded in a global causal structure such that, for every pair of events, the causal order between them is always fixed.
Flaminia Giacomini, Esteban Castro-Ruiz, Časlav Brukner   +2 more
doaj   +1 more source

Infinite distance networks in field space and charge orbits

Journal of High Energy Physics, 2019
The Swampland Distance Conjecture proposes that approaching infinite distances in field space an infinite tower of states becomes exponentially light. We study this conjecture for the complex structure moduli space of Calabi-Yau manifolds.
Thomas W. Grimm, Chongchuo Li, Eran Palti   +2 more
doaj   +1 more source

Hydrodynamic dispersion relations at finite coupling

Journal of High Energy Physics, 2021
By using holographic methods, the radii of convergence of the hydrodynamic shear and sound dispersion relations were previously computed in the N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory at infinite ’t Hooft coupling and infinite number of ...
Sašo Grozdanov, Andrei O. Starinets, Petar Tadić   +2 more
doaj   +1 more source

Formation of Majorana fermions in finite-size graphene strips

SciPost Physics, 2017
We investigate the formation of Majorana fermions in finite-size graphene strips with open boundary conditions in both directions, in the presence of an in-plane magnetic field and in the proximity of a superconducting substrate. We show that for long
Vardan Kaladzhyan, Cristina Bena
doaj   +1 more source

Approximation to Hadamard Derivative via the Finite Part Integral

Entropy, 2018
In 1923, Hadamard encountered a class of integrals with strong singularities when using a particular Green’s function to solve the cylindrical wave equation. He ignored the infinite parts of such integrals after integrating by parts.
Chuntao Yin, Changpin Li, Qinsheng Bi
doaj   +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

Classification of Real Solutions of the Fourth Painlevé Equation

Mathematics
Painlevé transcendents are usually considered as complex functions of a complex variable, but, in applications, it is often the real cases that are of interest.
Jeremy Schiff, Michael Twiton
doaj   +1 more source