Results 71 to 80 of about 77,468 (213)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Z2-symmetric planar polynomial Hamiltonian systems of degree 3 with nilpotent centers
Electronic Journal of Differential Equations, 2019 We provide the normal forms of all $\mathbb{Z}_2$-symmetric planar polynomial Hamiltonian systems of degree 3 having a nilpotent center at the origin.
Fabio Scalco Dias +2 more
doaj
On the integrability of the Hamiltonian systems with homogeneous polynomial potentials [PDF]
Applied Mathematics and Nonlinear Sciences, 2018 Abstract We summarize the known results on the integrability of the complex Hamiltonian systems with two degrees of freedom defined by the Hamiltonian functions of the form
Llibre, Jaume, Zhang, Xiang
openaire +4 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
wiley +1 more source
Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians
New Journal of Physics, 2018 We introduce a phenomenological theory for many-body control of critical phenomena by engineering causally-induced gaps for quantum Hamiltonian systems. The core mechanisms are controlling information flow within and/or between clusters that are created ...
Masoud Mohseni +2 more
doaj +1 more source
A Symbolic Computation Approach to Parameterizing Controller for Polynomial Hamiltonian Systems [PDF]
Mathematical Problems in Engineering, 2014 This paper considers controller parameterization method of H∞ control for polynomial Hamiltonian systems (PHSs), which involves internal stability and external disturbance attenuation. The aims of this paper are to design a controller with parameters to insure that the systems are H∞ stable and propose an algorithm for solving parameters of the ...
Zhong Cao, Xiaorong Hou
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The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently
, 2005 In this Letter we show that an arbitrarily good approximation to the propagator e^{itH} for a 1D lattice of n quantum spins with hamiltonian H may be obtained with polynomial computational resources in n and the error \epsilon, and exponential resources ...
M. A. Nielsen, Tobias J. Osborne
core +1 more source
End‐to‐End Portfolio Optimization with Hybrid Quantum Annealing
Advanced Quantum Technologies, EarlyView.This works presents a hybrid quantum‐classical framework for portfolio optimization that combines quantum assisted asset selection and rebalancing with classical weight allocation. The approach processes real market data, embeds it into Quadratic Unconstrained Binary Optimization formulations, and evaluates performance within a unified workflow ...
Sai Nandan Morapakula +5 more
wiley +1 more source
Parametric Excitation of a Ferrimagnetic Sphere Resonator
Advanced Quantum Technologies, EarlyView.The hypothesis that disentanglement spontaneously occurs in quantum systems is experimentally tested using a ferromagnetic resonator. Predictions derived from the hypothesis, and from an alternative theoretical model, are compared with the measured response of the resonator to an externally applied driving.
Eyal Buks
wiley +1 more source
Key Technical Fields and Future Outlooks of Space Manipulators: A Survey
SmartBot, EarlyView.This paper systematically reviews the technological development of space manipulators, emphasizing the unique challenges posed by space environments. It examines four areas: structural design, modeling, planning, and control, while introducing typical ground test platforms.
Gang Chen +12 more
wiley +1 more source