Results 71 to 80 of about 77,626 (202)

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

A [3]Rotaxane Containing {Ti7Ga} Rings Linking CuII: Synthesis, Structure, and Spectroscopic Studies

Chemistry – A European Journal, EarlyView.
Extended hybrid inorganic‐organic [2]‐ and [3]‐rotaxanes are reported based on heterometallic rings with threads that link CuII complexes; the crystal structures are reported, and the solution behavior is investigated by double electron electron resonance spectroscopy methods.
Selena J. Lockyer, Lubomir Loci, George F. S. Whitehead, Inigo J. Vitorica‐Yrezabal, Grigore A. Timco, Alice M. Bowen, Eric J. L. McInnes, Richard E. P. Winpenny   +7 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, Johan Strumpfer, Marek M Rams   +2 more
doaj   +1 more source

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

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
openaire   +1 more source

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

Families of classical subgroup separable superintegrable systems

, 2009
We describe a method for determining a complete set of integrals for a classical Hamiltonian that separates in orthogonal subgroup coordinates. As examples, we use it to determine complete sets of integrals, polynomial in the momenta, for some families ...
Arnold V I, E G Kalnins, Eisenhart L P, J M Kress, Kalnins E G Miller W Pogosyan G S, Rodríguez M A, Tempesta P, Tempesta P, Tremblay F, W Miller   +9 more
core   +1 more source

Investigating Tuberculosis Dynamics Under Various Control Strategies: A Comprehensive Analysis Using Real Statistical Data

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, Mahmoud H. DarAssi, Irfan Ahmad, Muhammad Altaf Khan, Reem Algethamie   +4 more
wiley   +1 more source

Quadratic Algebra Approach to Relativistic Quantum Smorodinsky-Winternitz Systems

, 2010
There exist a relation between the Klein-Gordon and the Dirac equations with scalar and vector potentials of equal magnitude (SVPEM) and the Schrodinger equation. We obtain the relativistic energy spectrum for the four Smorodinsky-Winternitz systems from
Ian Marquette, Kalnins E. G., Kalnins E.-G., Marquette I., Zhang X.-A.   +4 more
core   +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, Zeyuan Huang, Ying Yan, Xiaokang An, Zhikai Zhao, Jirong Lin, Xiangrong Zhao, Xianyuan Gao, Junyi Zong, Xuewen Jia, Zhipeng Yao, Jianliang Liao, Ning Ji   +12 more
wiley   +1 more source