Results 61 to 70 of about 9,550,679 (229)

Nonexistence of Homoclinic Solutions for a Class of Discrete Hamiltonian Systems

Abstract and Applied Analysis, 2013
We give several sufficient conditions under which the first-order nonlinear discrete Hamiltonian system Δx(n)=α(n)x(n+1)+β(n)|y(n)|μ-2y(n),Δy(n)=-γ(n)|x(n+1)|ν-2x(n+1)-α(n)y(n) has no solution (x(n),y(n)) satisfying condition ...
Xiaoping Wang
doaj   +1 more source

PARSEC.py: A Python-Based Real-Space Kohn-Sham Density Functional Theory Code Accelerated by Machine Learned Charge Density. [PDF]

J Comput Chem
PARSEC.py is a Python‐based real‐space Kohn–Sham DFT framework that leverages the Python scientific ecosystem for transparent, modular integration of machine‐learned densities and GPU acceleration. This unified design enables more efficient and scalable first‐principles simulations of large chemical and materials systems. ABSTRACT PARSEC.py is a Python‐
Zhang Z, Perez CM, Kwon P, Head-Gordon M, Qian J.   +4 more
europepmc   +2 more sources

Reaction-Diffusion Systems in the Port-Hamiltonian Framework

, 2010
Reaction-diffusion systems model the evolution of the constituents distributed in space under the influence of chemical reactions and diffusion. These systems arise naturally in chemistry, but can also be used to model dynamical processes beyond the ...
Scherpen, J.M.A., van der Schaft, Arjan J., Seslija, Marko, Marconi, Lorenzo   +3 more
core   +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

Existence of Periodic Solutions for a Class of Discrete Hamiltonian Systems

Discrete Dynamics in Nature and Society, 2011
By applying minimax methods in critical point theory, we prove the existence of periodic solutions for the following discrete Hamiltonian systems Δ2u(t-1)+∇F(t,u(t))=0, where t∈ℤ, u∈ℝN, F:ℤ×ℝN→ℝ, F(t,x) is continuously differentiable in x for every t∈ℤ ...
Qiongfen Zhang, X. H. Tang, Qi-Ming Zhang   +2 more
doaj   +1 more source

Modifications to gravitational wave equation from canonical quantum gravity

European Physical Journal C: Particles and Fields, 2020
It is expected that the quantum nature of spacetime leaves its imprint in all semiclassical gravitational systems, at least in certain regimes, including gravitational waves.
Andrea Dapor, Klaus Liegener
doaj   +1 more source

Artificial Intelligence for Advanced Functional Materials: Progress and Emerging Frontiers

Advanced Intelligent Systems, EarlyView.
Artificial intelligence is transforming the discovery of functional materials by linking synthesis, characterization, simulation, and design in unified workflows. Advances in machine learning, autonomous experimentation, and foundation models are accelerating innovation across energy, electronics, and biomedicine, while revealing new frontiers for ...
Cristiano Malica, Kostya S. Novoselov, Seongmin Kim, Yousung Jung, Silvana Botti, Miguel A. L. Marques, Tigany Zarrouk, Miguel A. Caro, Sanggyu Chong, Michele Ceriotti, Marivi Fernandez‐Serra, Sara Navarro‐Rodriguez, Aakash Ashok Naik, Janine George, Ömer Hasan Omar, Victor Trinquet, Gian‐Marco Rignanese, Andrey Ustyuzhanin, Sonia Conesa‐Boj, Juan Rojo, Minh‐Tuan Dau, Simon M.‐M. Dubois, Jean‐Christophe Charlier, Jose H. Garcia, Romain Gautier, Rachid Laref, Junfeng Qiao, Giovanni Pizzi, Nicola Marzari, Camilla Coletti, Antonio Rossi, Jan‐Lucas Uslu, Chiara Zanardi, Vincenzo Palermo, Wide Hogenhout, Natalia Konchakova, Peter Klein, Tejs Vegge, Stephan Roche   +38 more
wiley   +1 more source

On stability zones for discrete-time periodic linear Hamiltonian systems

Advances in Difference Equations, 2006
The main purpose of the paper is to give discrete-time counterpart for some strong (robust) stability results concerning periodic linear Hamiltonian systems. In the continuous-time version, these results go back to Liapunov and Žukovskii; their deep
Răsvan Vladimir
doaj   +2 more sources

Integrating Hamiltonian systems defined on the Lie groups SO(4) and SO(1,3) [PDF]

, 2007
In this paper we study constrained optimal control problems on semi-simple Lie groups. These constrained optimal control problems include Riemannian, sub-Riemannian, elastic and mechanical problems. We begin by lifting these problems, through the Maximum
Biggs, James, Holderbaum, William
core   +2 more sources

A Scalable and Resource‐Efficient Pipelined p‐Computer for Probabilistic Ising Machines

Advanced Intelligent Systems, EarlyView.
(a) Block diagram of the portfolio optimization problem: given M assets, the goal is to determine the optimal weights w that maximize the expected return (based on the mean historical assets return u), while minimizing the risk, quantified by the assets covariance matrix S.
Deborah Volpe, Eleonora Raimondo, Andrea Grimaldi, Pedram Khalili Amiri, Stefano Chiappini, Anna Giordano, Mario Carpentieri, Hyunsoo Yang, Massimo Chiappini, Giovanni Finocchio   +9 more
wiley   +1 more source