Results 21 to 30 of about 31,539 (227)
Response of Lyapunov exponents to diffusion state of biological networks
International Journal of Applied Mathematics and Computer Science, 2020 The topologies of protein-protein interaction networks are uncertain and noisy. The network topology determines the reliability of computational knowledge acquired from noisy networks and can impose the deterministic and non-deterministic character of ...
Altuntas Volkan +2 more
doaj +1 more source
Affine Manifolds and Zero Lyapunov Exponents in Genus 3 [PDF]
, 2015 In previous work, the author fully classified orbit closures in genus three with maximally many (four) zero Lyapunov exponents of the Kontsevich-Zorich cocycle.
Aulicino, David
core +1 more source
An efficient deep learning model for brain tumour detection with privacy preservation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
wiley +1 more source
Removing zero Lyapunov exponents [PDF]
Ergodic Theory and Dynamical Systems, 2003 Motivated by \textit{M. Shub} and \textit{A. Wilkinson}'s result [Invent. Math. 139, 495--508 (2000; Zbl 0976.37013)] for an explicit family of partially hyperbolic diffeomorphisms of the torus \(T^3\) in perturbing the Lyapunov exponents of the center direction, the authors present a local version of their arguments, allowing one to perturb the center
Baraviera, Alexandre T. +1 more
openaire +2 more sources
Lyapunov Exponents Everywhere and Rigidity [PDF]
Journal of Dynamical and Control Systems, 2021 In the present work we obtain rigidity results analysing the set of regular points, in the sense of Oseledec's Theorem. It is presented a study on the possibility of an Anosov diffeomorphisms having all Lyapunov exponents defined everywhere. We prove that this condition implies local rigidity of an Anosov automorphism of the torus $\mathbb{T}^d, d \geq
Pereira Micena, Fernando +1 more
openaire +3 more sources
Lyapunov exponents in N=2 supersymmetric Jackiw-Teitelboim gravity
Physics Letters B, 2022 We study N=2 supersymmetric Jackiw-Teitelboim (JT) gravity at finite temperature coupled to matter. The matter fields are related to superconformal primaries by AdS/CFT duality. Due to broken super reparametrisation invariance in the SCFT dual, there are
Ruben Campos Delgado, Stefan Förste
doaj +1 more source
Maximal Lyapunov exponent at crises [PDF]
Physical Review E, 1996 We study the variation of Lyapunov exponents of simple dynamical systems near attractor-widening and attractor-merging crises. The largest Lyapunov exponent has universal behaviour, showing abrupt variation as a function of the control parameter as the system passes through the crisis point, either in the value itself, in the case of the attractor ...
Mehra, Vishal, Ramaswamy, Ramakrishna
openaire +3 more sources
Моделирование и анализ информационных систем, 2019 We consider the computational implementation of the algorithm for Lyapunov exponents spectrum numerical estimation for delay differential equations. It is known that for such systems, as well as for boundary value problems, it is not possible to prove ...
Vladimir E. Goryunov
doaj +1 more source
Hyperchaos in a Bose-Hubbard Chain with Rydberg-Dressed Interactions
Photonics, 2021 We study the chaos and hyperchaos of Rydberg-dressed Bose–Einstein condensates (BECs) in a one-dimensional optical lattice. Due to the long-range, soft-core interaction between the dressed atoms, the dynamics of the BECs are described by the extended ...
Gary McCormack, Rejish Nath, Weibin Li
doaj +1 more source
Dynamics of spinning test particles in Kerr spacetime [PDF]
, 2002 We investigate the dynamics of relativistic spinning test particles in the spacetime of a rotating black hole using the Papapetrou equations. We use the method of Lyapunov exponents to determine whether the orbits exhibit sensitive dependence on initial ...
Hartl, Michael D.
core +2 more sources