Results 51 to 60 of about 521,019 (237)
Moment Lyapunov exponent of delay differential equations
International Journal of Mathematics and Mathematical Sciences, 2002 The aim of this paper is to establish a connecting thread through the probabilistic concepts of pth-moment Lyapunov exponents, the integral averaging method, and Hale's reduction approach for delay dynamical systems.
M. S. Fofana
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The Lyapunov exponent of holomorphic maps [PDF]
, 2013 We prove that for any polynomial map with a single critical point its lower Lyapunov exponent at the critical value is negative if and only if the map has an attracting cycle.
G. Levin, F. Przytycki, W. Shen
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Analytical Prediction of Critical Transitions in Oscillator Networks With Non‐Local Links
Advanced Science, EarlyView.An analytical framework reveals how global coupling, second‐harmonic strength, noise, and network structure govern oscillator‐based Ising dynamics. Spectral reduction predicts stability boundaries, while Fokker–Planck analysis captures one‐ to two‐cluster transitions and identifies conditions favoring low‐energy configurations.
Qiang Li +5 more
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Astronomy & AstrophysicsContext. The largest Lyapunov exponent is widely used to diagnose chaos in gravitational dynamics; however, in mixed phase spaces and finite-N systems, it does not always provide a complete description of the orbital complexity and phase-space transport.
Trani Alessandro Alberto +2 more
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On the Largest Lyapunov Exponent for Products of Gaussian Matrices [PDF]
, 2013 The paper provides a new integral formula for the largest Lyapunov exponent of Gaussian matrices, which is valid in the real, complex and quaternion-valued cases.
V. Kargin
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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 +4 more
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Synchronization and chaos in spin torque oscillator with two free layers
AIP Advances, 2020 The magnetization dynamics in a spin torque oscillator (STO) consisting of two in-plane magnetized free layers is studied by solving the Landau-Lifshitz-Gilbert equation and evaluating the Lyapunov exponent numerically.
Tomohiro Taniguchi
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Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation
Chaos Theory and Applications, 2022 Most of the chaotic maps are not suitable for chaos-based cryptosystems due to their narrow chaotic parameter range and lacking of strong unpredictability.
Günyaz Ablay
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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
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