Results 51 to 60 of about 35,286 (235)

Ergodic properties of quasi-Markovian generalized Langevin equations with configuration dependent noise and non-conservative force

, 2018
We discuss the ergodic properties of quasi-Markovian stochastic differential equations, providing general conditions that ensure existence and uniqueness of a smooth invariant distribution and exponential convergence of the evolution operator in suitably
B Leimkuhler, Bernt Øksendal, C Hohenegger, C Villani, D Givon, D Talay, Dror Givon, E Darve, G Ford, GA Pavliotis, GP Morriss, H Lei, H Mori, H Ness, H Ness, J-P Eckmann, J-P Eckmann, J-P Eckmann, J. D. Doll, JA Morrone, JC Mattingly, L Rey-Bellet, L Stella, Luc Rey Bellet, Luc Rey-Bellet, M Ceriotti, M Ceriotti, M Ottobre, M Sachs, Martin Hairer, P Carmona, R Joubaud, R Kupferman, R Kupferman, R Zwanzig, R Zwanzig, RN Bhattacharya, S Adelman, S Redon, SH Lim, SP Meyn, SP Meyn, T Lelièvre, TJ Lampo, V Jakišć, V Jakšić, V Jakšić, W Rudin, Wolfgang Kliemann, X Wu, Z Li, Zhen Li   +51 more
core   +1 more source

AI in chemical engineering: From promise to practice

AIChE Journal, EarlyView.
Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew, Ronnie Andersson, Thomas Bierweiler, Patrik Ryttestal, Torsten Wik   +4 more
wiley   +1 more source

Chapman-Enskog derivation of the generalized Smoluchowski equation

, 2004
We use the Chapman-Enskog method to derive the Smoluchowski equation from the Kramers equation in a high friction limit. We consider two main extensions of this problem: we take into account a uniform rotation of the background medium and we consider a ...
Biler, Borland, Chandrasekhar, Chavanis, Chavanis, Chavanis, Chavanis, Chavanis, Chavanis, Degond, Frank, Huang, Kaniadakis, Klein, Kramers, Mohammed Lemou, Naudts, Philippe Laurençot, Pierre-Henri Chavanis, Plastino, Risken, Rosier, Sire, Tsallis, Tsallis, van Kampen, von Smoluchowski   +26 more
core   +3 more sources

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Bifurcation Problems for Generalized Beam Equations

Advances in Mathematical Physics, 2014
We investigate a class of bifurcation problems for generalized beam equations and prove that the one-parameter family of problems have exactly two bifurcation points via a unified, elementary approach.
Fosheng Wang
doaj   +1 more source

Material‐Based Intelligence: Autonomous Adaptation and Embodied Computation in Physical Substrates

Advanced Intelligent Systems, EarlyView.
This perspective formulates a unifying framework for Material‐Based Intelligence (MBI), defining the physical requirements for materials to achieve embodied action, active memory and embodied information processing through intrinsic nonequilibrium dynamics. The design of intelligent materials often draws parallels with the complex adaptive behaviors of
Vladimir A. Baulin, Rudolf M. Füchslin, Achille Giacometti, Helmut Hauser, Marco Werner   +4 more
wiley   +1 more source

Explicit stability conditions for neutral type vector functional differential equations. A survey [PDF]

Surveys in Mathematics and its Applications, 2014
This paper is a survey of the recent results of the author on the stability of linear and nonlinear neutral type functional differential equations. Mainly, vector equations are considered. In particular, equations whose nonlinearities are causal mappings
Michael I. Gil'
doaj  

Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations

Abstract and Applied Analysis, 2014
The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra’s competition system with delays.
Xiang Gu, Huicheng Wang, P. J. Y. Wong, Yonghui Xia   +3 more
doaj   +1 more source

Complete chaotic synchronization in mutually coupled time-delay systems

, 2007
Complete chaotic synchronization of end lasers has been observed in a line of mutually coupled, time-delayed system of three lasers, with no direct communication between the end lasers.
A. Pikovsky, Alexandra S. Landsman, D. Zill, Ira B. Schwartz, J. Hale, P. Hartman   +5 more
core   +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