Results 21 to 30 of about 115,141 (223)
Diverging Fluctuations of the Lyapunov Exponents [PDF]
Physical Review Letters, 2016 We show that in generic one-dimensional Hamiltonian lattices the diffusion coefficient of the maximum Lyapunov exponent diverges in the thermodynamic limit. We trace this back to the long-range correlations associated with the evolution of the hydrodynamic modes.
Pazo, Diego +2 more
openaire +5 more sources
Lyapunov exponent in the Vicsek model [PDF]
Physical Review E, 2022 The well-known Vicsek model describes the dynamics of a flock of self-propelled particles (SPPs). Surprisingly, there is no direct measure of the chaotic behavior of such systems. Here, we discuss the dynamical phase transition present in Vicsek systems in light of the largest Lyapunov exponent (LLE), which is numerically computed by following the ...
L. H. Miranda-Filho +4 more
openaire +4 more sources
Physics of Complex Systems, 2023 This paper investigates the influence of the amplitude, frequency, and damping of the applied field on the maximal Lyapunov exponents and chaotic dynamics in the bulk antiferroelectric (AFE) system.
Сью-Чу Лим
doaj +1 more source
On Lyapunov exponent and sensitivity
Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abraham, Christophe +2 more
openaire +2 more sources
Chaotic regimes of a fractal nonlinear oscillator
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018 In the paper, a fractal nonlinear oscillator was investigated with the aim of identifying its chaotic oscillatory regimes. The measure of chaos for a dynamic system is the maximum Lyapunov exponents.
Roman I Parovik
doaj +3 more sources
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
Generalized Lyapunov exponents and aspects of the theory of deep learning
, 2023 We discuss certain recent metric space methods and some of the possibilities these methods provide, with special focus on various generalizations of Lyapunov exponents originally appearing in the theory of dynamical systems and differential equations ...
Karlsson, Anders, Karlsson, Anders,
core +1 more source
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
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
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