Results 51 to 60 of about 115,141 (223)

Entropy potential and Lyapunov exponents [PDF]

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1997
According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function, the entropy potential. The validity and the consequences of this hypothesis are explored in detail. The numerical investigation of a continuous-time model provides a further confirmation to the
Lepri, Stefano, Politi, Antonio, Torcini, Alessandro   +2 more
openaire   +4 more sources

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

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

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

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

Distributed State Estimation for Mobile Robots in LiDAR Sensor Networks With Intermittent Inertial Measurements

Advanced Intelligent Systems, EarlyView.
A scalable distributed observer framework for LiDAR sensor networks is presented for robust tracking and pose estimation of mobile robots. By combining adaptable 3D detection, clustering‐based communication reduction, and intermittent inertial fusion, accurate and efficient estimation is achieved under occlusions and sensing constraints, with formally ...
Isabella Luppi, Ehsan Hashemi
wiley   +1 more source

COVARIANT LYAPUNOV EXPONENTS FOR THE MIXMASTER [PDF]

The Tenth Marcel Grossmann Meeting, 2006
The dynamics of the Mixmaster Universe is analized in a covariant picture via Misner--Chitre-like variables for an ADM Hamiltonian approach. The system outcomes as isomorphic to a billiard on the Lobachevsky plane and Lyapunov exponents are calculated explicitly.
Imponente, Giovanni, Montani, Giovanni
openaire   +2 more sources

Synchronization‐Performance‐Oriented Frequency‐Domain Iterative Learning Control for Wafer and Reticle Stages

Asian Journal of Control, EarlyView.
ABSTRACT The synchronization accuracy between the wafer stage and reticle stage in lithography is critical to overlay and critical dimension uniformity. Existing iterative learning control (ILC) methods indirectly optimize synchronization via time‐domain errors, failing to balance low‐frequency tracking accuracy and high‐frequency noise suppression ...
Xin Zhou, Yuejing Qi, Zhipeng Wu, Wei Qi, Tianwei Xu   +4 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   +6 more sources

Determining the Lyapunov Spectrum of Continuous-Time 1D and 2D Multiscroll Chaotic Oscillators via the Solution of m-PWL Variational Equations

Abstract and Applied Analysis, 2013
An algorithm to compute the Lyapunov exponents of piecewise linear function-based multidirectional multiscroll chaotic oscillators is reported. Based on the m regions in the piecewise linear functions, the suggested algorithm determines the individual ...
Jesus Manuel Munoz-Pacheco, Luz del Carmen Gómez-Pavón, Olga Guadalupe Félix-Beltrán, Arnulfo Luis-Ramos   +3 more
doaj   +1 more source