Results 61 to 70 of about 9,353 (233)

On the preservation of Lyapunov exponents of integrally separated systems of differential equations under small nonlinear perturbations

Electronic Journal of Qualitative Theory of Differential Equations
This paper addresses the Lyapunov exponents of non-vanishing solutions to quasi-linear time-varying systems of differential equations. The linear part is not required to be regular but it is assumed to be integrally separated, which ensures that the ...
Vu Hoang Linh, Ngo Nga
doaj   +1 more source

Out-of-time-order correlators and Lyapunov exponents in sparse SYK

Journal of High Energy Physics, 2023
We use a combination of analytical and numerical methods to study out-of-time order correlators (OTOCs) in the sparse Sachdev-Ye-Kitaev (SYK) model. We find that at a given order of N, the standard result for the q-local, all-to-all SYK, obtained through
Elena Cáceres, Tyler Guglielmo, Brian Kent, Anderson Misobuchi   +3 more
doaj   +1 more source

AI‐Assisted IoT‐Enabled ECG Monitoring: Integrating Foundational and Generative AI Tools for Sustainable Smart Healthcare—Recent Trends

AI &Innovation, EarlyView.
ABSTRACT The rapid evolution of the Internet of Things (IoT) has significantly advanced the field of electrocardiogram (ECG) monitoring, enabling real‐time, remote, and patient‐centric cardiac care. This paper presents a comprehensive survey of AI assisted IoT‐based ECG monitoring systems, focusing on the integration of emerging technologies such as ...
Amrita Choudhury, Kandarpa Kumar Sarma, Lachit Dutta   +2 more
wiley   +1 more source

Computational Issues in Nonlinear Dynamical Systems: Creating Bifurcation Diagrams of Lyapunov Exponents Using a Novel Adaptive Approach

IEEE Access
Nonlinear dynamical systems with oscillatory (periodic, quasi-periodic and chaotic) responses are analyzed in this paper through the method of Lyapunov exponents.
Maciej Walczak, Wieslaw Marszalek
doaj   +1 more source

Complexity Analysis of Bubble Plumes in Power Law Fluids Based on Chaos Theory

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT In order to reveal the complexity of the internal flow of bubble plume in power law fluid, the flow characteristics and chaotic characteristics of plume are studied by experiment and theory. The chaotic characteristic parameters (correlation dimension D, K entropy, and Lyapunov exponent λ) of gas velocity under different superficial gas ...
Xin Dong, Chong Dong, Can Xue, Meiheng Peng, Ying Feng, Jianwei Zhang, Yinuo Liu   +6 more
wiley   +1 more source

Estimating Lyapunov exponents in billiards [PDF]

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019
Dynamical billiards are paradigmatic examples of chaotic Hamiltonian dynamical systems with widespread applications in physics. We study how well their Lyapunov exponent, characterizing the chaotic dynamics, and its dependence on external parameters can be estimated from phase space volume arguments, with emphasis on billiards with mixed regular and ...
George Datseris, Lukas Hupe, Ragnar Fleischmann   +2 more
openaire   +5 more sources

CHAOTIC VIBRATION OF BUCKLED BEAMS AND PLATES [PDF]

INCAS Bulletin, 2009
The great developing of numerical analysis of the dynamic systems emphasizes the existence of astrong dependence of the initial conditions, described in the phase plane by attractors with acomplicated geometrical structure.
Daniela BARAN
doaj   +1 more source

A hidden Markov model and reinforcement learning‐based strategy for fault‐tolerant control

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract This study introduces a data‐driven control strategy integrating hidden Markov models (HMM) and reinforcement learning (RL) to achieve resilient, fault‐tolerant operation against persistent disturbances in nonlinear chemical processes. Called hidden Markov model and reinforcement learning (HMMRL), this strategy is evaluated in two case studies
Tamera Leitao, Debaprasad Dutta, Simant R. Upreti   +2 more
wiley   +1 more source

Model Lyapunov exponents.

, 2014
The Lyapunov exponents computed for this model were all negative, indicating that the model was asymptotically Lyapunov stable and therefore the trajectories eventually converged to an equilibrium.Model Lyapunov exponents.
Piero Dalle Pezze (622889), Viktor I. Korolchuk (222476), Thomas von Zglinicki (73277), Elsje G. Otten (622890), Daryl P. Shanley (247426), Thomas B. L. Kirkwood (118477), Glyn Nelson (73268)   +6 more
core   +1 more source

Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal, Ana Jacinta Soares, Maria Joana Torres   +2 more
wiley   +1 more source