Results 41 to 50 of about 3,260 (185)

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

Programmable Chaotic Suspension Electrolysis for Scalable Manufacturing of Vacancy‐Tunable Electrolytic MnO2

Advanced Science, EarlyView.
Programmable chaotic suspension electrolysis bridges laboratory synthesis and industrial manufacturing of high‐performance MnO2 cathodes. This scalable strategy enables tunable oxygen vacancies and a robust γ/β tunnel framework, delivering superior electrochemical performance and thermal stability.
Zhihao Wu, Jie Yang, Yidan Fan, Wentao Li, Jiaxing Li, Jing Guo, Chunbiao Li, Lei Shi, Jiaoyuan Zhang, Xingna Cai, Zukang Chen, Qian Zhang, Jun Du, Changyuan Tao, Qizhi Chen, Guocan Zheng, Zuohua Liu   +16 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

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   +6 more sources

Exploiting Ferroelectric and Spintronic Dynamics for Neural Network Computation

Advanced Intelligent Systems, EarlyView.
Ferroelectric and spintronic devices, relying on the control of polarization and magnetization, offer intrinsically fast, durable, energy‐efficient, and low‐latency building blocks for analog in‐memory computing. The hysteretic dynamics of an order parameter are leveraged to provide nonvolatile, multistate memory and nonlinear switching. Brain‐inspired
Dashiell Harrison, Kevin Nadaud, Josquin Harrison, Guillaume F. Nataf, Laura Bégon‐Lours   +4 more
wiley   +1 more source

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

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

From Biological Fractal Dynamics to Analog Fractional‐Order Circuits: A System Design Framework Based on Operatorization Thought

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Fractional calculus, with its unique advantage in describing memory and nonlocal effects, has become a key tool for modeling nonlinear dynamic systems. Its integration with circuit systems has opened up a new paradigm for modern circuit design.
Zhimo Jian, Zheng Li, Gang Peng, Chaoqian Luo, Yajun Yin   +4 more
wiley   +1 more source

Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr, Alessandro Pisano, Stefan Koch, Markus Reichhartinger   +3 more
wiley   +1 more source