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We develop a new method for solving minimization problems on the Stiefel Manifold using damped dynamical systems. The constraints are satisfied in the limit by an additional damped dynamical system. The method is illustrated by numerical…

Optimization and Control · Mathematics 2026-04-24 M Gulliksson , A Oleynik , M Ogren , R Bakhshandeh-Chamazkoti

The validity of optimized dynamical decoupling (DD) is extended to analytically time dependent Hamiltonians. As long as an expansion in time is possible the time dependence of the initial Hamiltonian does not affect the efficiency of…

Quantum Physics · Physics 2010-03-17 Stefano Pasini , Götz S. Uhrig

Rapid and sustained condensate droplet departure from a surface is key towards achieving high heat transfer rates in condensation, a physical process critical to a broad range of industrial and societal applications. Despite progress in…

In the domain of geometry and topology optimization, discovering geometries that optimally satisfy specific problem criteria is a complex challenge in both engineering and scientific research. In this work, we propose a new approach for the…

Computational Physics · Physics 2024-11-26 Alexander Luce , Daniel Grünbaum , Florian Marquardt

This article presents a data-driven, control-oriented modelling methodology for urban drainage systems (UDS). The proposed framework requires three main key components: input-output data from the element to be modelled, expert knowledge to…

Systems and Control · Electrical Eng. & Systems 2025-12-15 Luis Romero-Ben , Bernat Joseph-Duran , David Sunyer , Gabriela Cembrano , Jordi Meseguer , Vicenç Puig , Alejandro Carrasco

Hypothesis: Immiscible liquids are commonly used to achieve unique functions in many applications, where the breakup of compound droplets in airflow is an important process. Due to the existence of the liquid-liquid interface, compound…

Fluid Dynamics · Physics 2023-12-27 Zhikun Xu , Yue Zhang , Tianyou Wang , Zhizhao Che

A piecewise constant curvature manifold is a triangulated manifold that is assigned a geometry by specifying lengths of edges and stipulating that for a chosen background geometry (Euclidean, hyperbolic, or spherical), each simplex has an…

Geometric Topology · Mathematics 2014-07-29 David Glickenstein , Joseph Thomas

We study the decoherence of a superconducting qubit due to the dispersive coupling to a damped harmonic oscillator. We go beyond the weak qubit-oscillator coupling, which we associate with a phase Purcell effect, and enter into a strong…

Mesoscale and Nanoscale Physics · Physics 2007-10-30 I. Serban , E. Solano , F. K. Wilhelm

Mechanical couplings such as axial-shear and axial-bending have great potential in the design of active mechanical metamaterials with directional control of input and output loads in sensors and actuators. However, the current ad hoc design…

Materials Science · Physics 2022-08-17 Zhiming Cui , Jaehyung Ju

We study the cylinder to sphere morphological transition of diblock copolymers in aqueous solution with a hydrophobic block and a charged block. We find a metastable undulated cylinder configuration for a range of charge and salt…

Soft Condensed Matter · Physics 2009-11-11 Gregory M. Grason , Christian D. Santangelo

Deterministic lateral displacement (DLD) is a high-resolution separation technique used in various fields. A fundamental challenge in DLD is ensuring uniform flow characteristics across channel, particularly near sidewalls where pillar…

Fluid Dynamics · Physics 2025-06-10 Aryan Mehboudi , Shrawan Singhal , S. V. Sreenivasan

We propose a scheme for tunable coupling of phase-coupled flux qubits. The phase-coupling scheme can provide a strong coupling strength of the order of Josephson coupling energy of Josephson junctions in the connecting loop, while the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Mun Dae Kim

To provide robustness of distributed model predictive control (DMPC), this work proposes a robust DMPC formulation for discrete-time linear systems subject to unknown-but-bounded disturbances. Taking advantage of the structure of certain…

Systems and Control · Electrical Eng. & Systems 2021-03-10 Ye Wang , Chris Manzie

Many theoretical and experimental studies have used heuristic methods to investigate the dynamic behaviour of the passive coupling of adjacent structures. However, few papers have used optimization techniques with guaranteed convergence in…

Optimization and Control · Mathematics 2015-11-09 K. Bigdeli , W. Hare , J. Nutini , S. Tesfamariam

A new method of singular reduction is extended from Poisson to Dirac manifolds. Then it is shown that the Dirac structures on the strata of the quotient coincide with those of the only other known singular Dirac reduction method.

Differential Geometry · Mathematics 2011-10-17 Tudor S. Ratiu , Madeleine Jotz

This paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel strategy for suppressing spurious buckling modes related to…

Computational Engineering, Finance, and Science · Computer Science 2023-06-07 Guodong Zhang , Kapil Khandelwal , Tong Guo

We study distributed control for a network of nonlinear, differentially flat subsystems subject to dynamic coupling. Although differential flatness simplifies planning and control for isolated subsystems, the presence of coupling can…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Fengjun Yang , Jake Welde , Nikolai Matni

Globally coupled doubling maps are studied in this paper. In this setting and for finitely many sites, two distinct bifurcation values of the coupling strength have been identified in the literature, corresponding to the emergence of…

Dynamical Systems · Mathematics 2016-12-06 Fanni Sélley , Péter Bálint

In the NLC (Next Linear Collider) small misalignments in each of the individual accelerator structures (or the accelerator cells) will give rise to wakefields which kick the beam from its electrical axis. This wakefield can cause BBU (Beam…

Accelerator Physics · Physics 2009-03-12 R. M. Jones , N. M. Kroll , R. H. Miller , T. O. Raubenheimer , G. V. Stupakov

We reveal peculiarities of the trapped (dark) mode excitation in a polarization-insensitive all-dielectric metasurface, whose unit super-cell is constructed by particularly arranging four cylindrical dielectric particles. Involving…