Results 31 to 40 of about 9,353 (233)
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
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
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
Spectral Lyapunov exponents in chaotic and localized many-body quantum systems
Physical Review Research, 2021 We consider the spectral statistics of the Floquet operator for disordered, periodically driven spin chains in their quantum chaotic and many-body localized (MBL) phases.
Amos Chan, Andrea De Luca, J. T. Chalker
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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
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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
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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
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
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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
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Recurrence, Dimensions, and Lyapunov Exponents
Journal of Statistical Physics, 2002 12 ...
Saussol, B. +2 more
openaire +4 more sources