Results 81 to 90 of about 16,119 (189)
Menagerie of AdS2 boundary conditions
We consider different sets of AdS2 boundary conditions for the Jackiw-Teitelboim model in the linear dilaton sector where the dilaton is allowed to fluctuate to leading order at the boundary of the Poincaré disk.
Daniel Grumiller +4 more
doaj +1 more source
Frequency‐Domain Analysis of a Keldysh‐Like System
ABSTRACT Complex dynamics of the system, revealing flutter and first presented by M. Keldysh, is analyzed in the paper in the frequency domain, through the describing function method. Motivated by this analysis, a system with similar behavior, but suitable for the exact frequency‐domain analysis through the locus of a perturbed relay system (LPRS ...
I. M. Boiko +3 more
wiley +1 more source
A hyperbolic Kac-Moody Calogero model
A new kind of quantum Calogero model is proposed, based on a hyperbolic Kac-Moody algebra. We formulate nonrelativistic quantum mechanics on the Minkowskian root space of the simplest rank-3 hyperbolic Lie algebra AE 3 with an inverse-square potential ...
Olaf Lechtenfeld, Don Zagier
doaj +1 more source
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley +1 more source
NONLINEAR RESPONSE ANALYSIS OF DOUBLE DISK RUBBING ROTOR-OIL FILM BEARING SYSTEM
In order to describe rotor-bearing system more accurately and to consider the influence of nonlinear oil film force and rubbing force,this paper establishes a single disk rubbing rotor-bearing system model with nonlinear support,and deduces the ...
LIU JunJie +3 more
doaj
A Poincar\'e section for the general heavy rigid body
A general recipe is developed for the study of rigid body dynamics in terms of Poincar\'e surfaces of section. A section condition is chosen which captures every trajectory on a given energy surface.
Holger R. Dullin +7 more
core +1 more source
Symmetric spaces and star representations III. The Poincaré disc [PDF]
This article is a contribution to the domain of (convergent) deformation quantization of symmetric spaces by use of Lie groups representation theory. We realize the regular representation of $SL(2,\R)$ on the space of smooth functions on the Poincar disc as a sub-representation of $SL(2,\R)$ in the Weyl-Moyal star product algebra on $\R^2$.
Bieliavsky, P., Pevzner, M.
openaire +2 more sources
ABSTRACT Reduced‐order models (ROMs) are widely employed in biped robot control due to their computational efficiency, but their simplified representations often neglect critical nonlinear dynamics, leading to limited robustness under real‐world disturbances.
Jia Li, Yan Liu
wiley +1 more source
Polyharmonic potential theory on the Poincaré disk
We consider the open unit disk $\mathbb{D}$ equipped with the hyperbolic metric and the associated hyperbolic Laplacian $\mathfrak{L}$. For $λ\in \mathbb{C}$ and $n \in \mathbb{N}$, a $λ$-polyharmonic function of order $n$ is a function $f: \mathbb{D} \to \mathbb{C}$ such that $(\mathfrak{L}- λ\, I)^n f = 0$. If $n =1$, one gets $λ$-harmonic functions.
M. Picardello, M. Salvatori, W. Woess
openaire +3 more sources
Piezoelectric Ceramic Resonator for Physical Reservoir Computing
This work presents a feedback‐free, maskless physical reservoir computing based on a Pb(Zr,Ti)O3 piezoelectric ceramic disc resonator that harnesses intrinsic Duffing nonlinearity and underdamped transients. A nonlinear equivalent‐circuit model quantifies the mechanism, and the computational capability is validated via end‐to‐end simulations ...
Senhao Wang, Xiaosheng Wu
wiley +1 more source

