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Control of compliant mechanical systems is increasingly being researched for several applications including flexible link robots and ultra-precision positioning systems. The control problem in these systems is challenging, especially with…

Systems and Control · Computer Science 2020-10-23 Prasanna S. Gandhi , Pablo Borja , Romeo Ortega

Time dependent mode structure for the Lyapunov vectors associated with the stepwise structure of the Lyapunov spectra and its relation to the momentum auto-correlation function are discussed in quasi-one-dimensional many-hard-disk systems.…

Chaotic Dynamics · Physics 2007-05-23 Tooru Taniguchi , Gary P. Morriss

We report a 1D planar optical waveguide with transverse distribution of inhomogeneous loss profile, which exhibits an exceptional point (EP). The waveguide hosts two leaky resonant modes; where the interaction between them in the vicinity…

Optics · Physics 2018-11-14 Arnab Laha , Abhijit Biswas , Somnath Ghosh

We investigate the quantum coherent dynamics of an externally driven effective two-level system subjected to a slow Ohmic environment characteristic of biomolecular protein-solvent reservoirs in photosynthetic light harvesting complexes. By…

Mesoscale and Nanoscale Physics · Physics 2009-08-19 Jens Eckel , John Henry Reina , Michael Thorwart

Buildup and switching mechanisms of solitons in complex nonlinear systems are fundamentally important dynamical regimes. Using a novel strongly nonlinear optical system,the work reveals a new buildup scenario for soliton molecules , which…

We theoretically investigate light propagation in two periodically modulated nonlinear waveguides with certain propagation constant detuning between two guides. By slowly varying the amplitude of modulation, we can steer the light to the…

Optics · Physics 2016-06-21 Baiyuan Yang , Xiaobing Luo , Xiaoguang Yu

A new "model-free" control methodology is applied to a boost power converter. The properties of the boost converter allow to evaluate the performances of the model-free strategy in the case of switching nonlinear transfer functions,…

Systems and Control · Computer Science 2013-10-10 Loïc Michel , Wim Michiels , Xavier Boucher

This paper studies a regression model with functional dependent and explanatory variables, both of which exhibit nonstationary dynamics. The model assumes that the nonstationary stochastic trends of the dependent variable are explained by…

Methodology · Statistics 2025-10-02 Kyungsik Nam , Won-Ki Seo

The time-dependent energy transfer in a driven quantum system strongly coupled to a heat bath is studied within an influence functional approach. Exact formal expressions for the statistics of energy dissipation into the different channels…

Mesoscale and Nanoscale Physics · Physics 2016-06-20 Matteo Carrega , Paolo Solinas , Maura Sassetti , Ulrich Weiss

A stochastic system under the influence of a stochastic environment is correlated with both present and future states of the environment. Such a system can be seen as implicitly implementing a predictive model of future environmental…

Statistical Mechanics · Physics 2018-10-05 Matthew E. Quenneville , David A. Sivak

An asymptotic analysis of wave propagation in randomly perturbed waveguides is carried out in order to identify the effective Markovian dynamics of the guided mode powers. The main result consists in a quantification of the fluctuations of…

Analysis of PDEs · Mathematics 2020-01-03 Josselin Garnier

Many complex mechatronic systems consist of multiple interconnected dynamical subsystems, which are designed, developed, analyzed, and manufactured by multiple independent teams. To support such a design approach, a modular model framework…

Systems and Control · Electrical Eng. & Systems 2024-02-13 Robert A. Egelmeers , Lars A. L. Janssen , Rob H. B. Fey , Jasper Gerritsen , Nathan van de Wouw

Humans leverage the dynamics of the environment and their own bodies to accomplish challenging tasks such as grasping an object while walking past it or pushing off a wall to turn a corner. Such tasks often involve switching dynamics as the…

Robotics · Computer Science 2021-03-29 Saumya Saxena , Alex LaGrassa , Oliver Kroemer

We study the sense in which the continuum limit of a broad class of discrete materials with periodic structures can be viewed as a nonlinear elastic material. While we are not the first to consider this question, our treatment is more…

Mathematical Physics · Physics 2025-10-31 Xuenan Li , Robert V. Kohn

We show that the simultaneous modulation of the propagation constant and of the gain/loss coefficient along the multimode fibers results in unidirectional coupling among the modes, which, depending on the modulation parameters, leads to the…

Optics · Physics 2023-08-09 M. N. Akhter , S. B. Ivars , M. Botey , R. Herrero , K. Staliunas

The nonlinear interactions between flexural and torsional modes of a microcantilever are experimentally studied. The coupling is demonstrated by measuring the frequency response of one mode, which is sensitive to the motion of another…

Mesoscale and Nanoscale Physics · Physics 2012-07-17 H. J. R. Westra , H. S. J. van der Zant , W. J. Venstra

Relevance of mode coupling to energy/information transfer during protein function, particularly in the context of allosteric interactions is widely accepted. However, existing evidence in favor of this hypothesis comes essentially from…

Quantitative Methods · Quantitative Biology 2013-11-01 Onur Varol , Deniz Yuret , Burak Erman , Alkan Kabakçıoğlu

Novel fundamental notions helping in the interpretation of the complex dynamics of nonlinear systems are essential to our understanding and ability to exploit them. In this work we predict and demonstrate experimentally a fundamental…

Combinations of gyroscopic forces and nonequilibrium activity has been explored recently in rectifying energy in networks with complex geometries and topologies [Phys. Rev. X 10, 021036]. Based on this previous work, here we study the…

Statistical Mechanics · Physics 2021-07-14 Zhenghan Liao , Suriyanarayanan Vaikuntanathan

Obesity is a chronic disease that can lead to an increased risk of other serious chronic diseases and even death. We present switching and time-delayed feedback-based model free control methods for the dynamic management of body mass and…

Systems and Control · Computer Science 2017-04-05 Mahmood Karimi , Ramesh R. Rao
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