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We present a method to calculate the frequency components of a pump waveform driving a parametric oscillator, which realizes a desired frequency mixing or scattering between modes. The method is validated by numerical analysis and we study…

Quantum Physics · Physics 2025-12-18 Michele Cortinovis , Fabio Lingua , David B. Haviland

We develop a moment equation closure minimization method for the inexpensive approximation of the steady state statistical structure of nonlinear systems whose potential functions have bimodal shapes and which are subjected to correlated…

Chaotic Dynamics · Physics 2015-10-08 Han Kyul Joo , Themistoklis P. Sapsis

For systems of classical spins interacting with the bath via damping and thermal noise, the approach is suggested to replace the white noise by a pulse noise acting at regular time intervals $\Delta t$, within which the system evolves…

Statistical Mechanics · Physics 2017-01-25 D. A. Garanin

Achieving precise control over quantum systems presents a significant challenge, especially in many-body setups, where residual couplings and unintended transitions undermine the accuracy of quantum operations. In superconducting qubits,…

We consider the problem of precision matrix estimation where, due to extraneous confounding of the underlying precision matrix, the data are independent but not identically distributed. While such confounding occurs in many scientific…

Machine Learning · Statistics 2019-07-01 Sinong Geng , Mladen Kolar , Oluwasanmi Koyejo

In this paper, we propose a semi-parametric model for autonomous nonlinear dynamical systems and devise an estimation procedure for model fitting. This model incorporates subject-specific effects and can be viewed as a nonlinear…

Methodology · Statistics 2009-06-19 Debashis Paul , Jie Peng , Prabir Burman

Standard approaches to controlling dynamical systems involve biologically implausible steps such as backpropagation of errors or intermediate model-based system representations. Recent advances in machine learning have shown that…

Statistical Mechanics · Physics 2025-07-11 Carlos Floyd , Aaron R. Dinner , Suriyanarayanan Vaikuntanathan

We investigate the influence of parametric excitation on MEMS vibration energy harvesters for energy autonomous sensor systems. In Industry 4.0 (or Industrial IoT) applications, interconnected sensors provide a means of data acquisition for…

The ability to control spins in semiconductors is important in a variety of fields including spintronics and quantum information processing. Due to the potentially fast dephasing times of spins in the solid state [1-3], spin control…

Predictive Feedback Control is an easy-to-implement method to stabilize unknown unstable periodic orbits in chaotic dynamical systems. Predictive Feedback Control is severely limited because asymptotic convergence speed decreases with…

Adaptation and Self-Organizing Systems · Physics 2015-03-17 Christian Bick , Christoph Kolodziejski , Marc Timme

Nonlinear normal modes (NNMs) are widely used as a tool for developing mathematical models of nonlinear structures and understanding their dynamics. NNMs can be identified experimentally through a phase quadrature condition between the…

Dynamical Systems · Mathematics 2018-07-04 L. Renson , T. L. Hill , D. A. Ehrhardt , D. A. W. Barton , S. A. Neild

Vibration peaks occurring at rational fractions of the fundamental rotating critical speed, here named Local Resonances, facilitate cracked shaft detection during machine shut-down. A modified Jeffcott-rotor on journal bearings accounting…

General Physics · Physics 2012-09-28 Julio Gomez-Mancilla , Jean-Jacques Sinou , V. R. Nosov , Fabrice Thouverez , A. Zambrano

The case-control sampling design serves as a pivotal strategy in mitigating the imbalanced structure observed in binary data. We consider the estimation of a non-parametric logistic model with the case-control data supplemented by external…

Machine Learning · Statistics 2024-09-04 Hengchao Shi , Ming Zheng , Wen Yu

Linear mechanical systems with time-modulated parameters can harbor oscillations with amplitudes that grow or decay exponentially with time due to the phenomenon of parametric resonance. While the resonance properties of individual…

Classical Physics · Physics 2024-08-06 Abhijeet Melkani , Jayson Paulose

With the increasing penetration of Inverter-Based Resources (IBRs) and their impact on power system stability and operation, the concept of stability-constrained optimization has drawn significant attention from researchers. In order to…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Zhongda Chu , Fei Teng

We study locking phenomena of two strongly coupled, high-quality factor nanomechanical resonator modes subject to a common parametric drive at a single drive frequency. By controlled dielectric gradient forces we tune the resonance…

Mesoscale and Nanoscale Physics · Physics 2017-06-22 Maximilian J. Seitner , Mehdi Abdi , Alessandro Ridolfo , Michael J. Hartmann , Eva M. Weig

This paper presents an end-to-end framework for robust structure/control optimization of an industrial benchmark. When dealing with space structures, a reduction of the spacecraft mass is paramount to minimize the mission cost and maximize…

Systems and Control · Electrical Eng. & Systems 2023-11-28 Francesco Sanfedino , Daniel Alazard , Andy Kiley , Mark Watt , Pedro Simplicio , Finn Ankersen

This article presents a feedback control algorithm for electromagnetic formation flying with constraints on the satellites' states and control inputs. The algorithm combines several key techniques. First, we use alternating magnetic field…

Systems and Control · Electrical Eng. & Systems 2025-08-27 Sumit S. Kamat , T. Michael Seigler , Jesse B. Hoagg

The design of structures submitted to aerodynamic loads usually requires the development of specific computational models considering fluid-structure interactions. Models using structural frame elements are developed in several relevant…

Fluid Dynamics · Physics 2022-04-25 Mauricio C. Vanzulli , Jorge M. Pérez Zerpa

A discrete time control algorithm using the damped least squares is introduced for acceleration and energy exchange controls in nonlinear vibrating systems. It is shown that the damping constant of least squares and sampling time step of…

Optimization and Control · Mathematics 2011-10-17 V. N. Pilipchuk