Results 11 to 20 of about 157,604 (263)

Mapping the discrete logarithm [PDF]

open access: yesInvolve, a Journal of Mathematics, 2010
The discrete logarithm is a problem that surfaces frequently in the field of cryptography as a result of using the transformation g^a mod n. This paper focuses on a prime modulus, p, for which it is shown that the basic structure of the functional graph is largely dependent on an interaction between g and p-1.
Holden, Joshua, Cloutier, D.
openaire   +4 more sources

Discrete-Continuous Smoothing and Mapping

open access: yesIEEE Robotics and Automation Letters, 2022
We describe a general approach for maximum a posteriori (MAP) inference in a class of discrete-continuous factor graphs commonly encountered in robotics applications. While there are openly available tools providing flexible and easy-to-use interfaces for specifying and solving inference problems formulated in terms of either discrete or continuous ...
Kevin J. Doherty 0001   +3 more
openaire   +4 more sources

Periodic discrete conformal maps [PDF]

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 2001
Recently there has been much interest in the theory of discrete surfaces in 3-space and its connection with the discretization of soliton equations (see e.g. [3], [11] and references therein). In this article we study a discrete geometry which is the simplest example for both theories.
Hertrich-Jeromin, U   +3 more
openaire   +4 more sources

The Pentagram Map: A Discrete Integrable System [PDF]

open access: yesCommunications in Mathematical Physics, 2010
The pentagram map is a projectively natural iteration defined on polygons, and also on objects we call twisted polygons (a twisted polygon is a map from Z into the projective plane that is periodic modulo a projective transformation). We find a Poisson structure on the space of twisted polygons and show that the pentagram map relative to this Poisson ...
Ovsienko, Valentin   +2 more
openaire   +3 more sources

Discrete mappings with an explicit discrete Lyapunov function related to integrable mappings [PDF]

open access: yesPhysica D: Nonlinear Phenomena, 2006
submitted to Physica ...
Inoue, Hironori   +2 more
openaire   +2 more sources

The entorhinal grid map is discretized

open access: yesNature, 2012
The medial entorhinal cortex (MEC) is part of the brain's circuit for dynamic representation of self-location. The metric of this representation is provided by grid cells, cells with spatial firing fields that tile environments in a periodic hexagonal pattern. Limited anatomical sampling has obscured whether the grid system operates as a unified system
Hanne Stensola   +5 more
openaire   +2 more sources

Analogue circuit implementation of a new logistic‐like map

open access: yesElectronics Letters, 2022
Discrete chaotic system has complex dynamics and becomes to be a present hot topic, but its analogue circuit implementation is rarely discussed. In this paper, by simplifying the logistic map, a new Logistic‐like map is proposed.
Xianming Wu   +3 more
doaj   +1 more source

On peculiarities of application of the auxiliary system approach for the generalized chaotic synchronization regime detection [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Физика
Background and Objectives: In this paper we consider the peculiarity that arises during the generalized chaotic synchronization regime detection in systems with a complex attractor topology having internal symmetry.
Gubenko, Pavel Petrovich   +2 more
doaj   +1 more source

Map of discrete system into continuous [PDF]

open access: yesJournal of Mathematical Physics, 2006
Continuous limits of discrete systems with long-range interactions are considered. The map of discrete models into continuous medium models is defined. A wide class of long-range interactions that give the fractional equations in the continuous limit is discussed.
openaire   +3 more sources

Controlling Chaos for a Fractional-Order Discrete System

open access: yesIEEE Open Journal of Circuits and Systems, 2020
In this article two different controllers for the stabilization of a fractional-order discrete system in the left Caputo discrete delta operator sense are given.
Luis Alberto Quezada-Tellez   +2 more
doaj   +1 more source

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