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Standard methods for describing the intensity distribution of mechanical and acoustic wave fields in the high frequency asymptotic limit are often based on flow transport equations. Common techniques are statistical energy analysis,…

Chaotic Dynamics · Physics 2012-08-21 D. J. Chappell , S. Giani , G. Tanner

Dynamical energy analysis was recently introduced as a new method for determining the distribution of mechanical and acoustic wave energy in complex built up structures. The technique interpolates between standard statistical energy…

Computational Physics · Physics 2012-08-21 David J. Chappell , Gregor Tanner , Stefano Giani

Finding the distribution of vibro-acoustic energy in complex built-up structures in the mid-to-high frequency regime is a difficult task. In particular, structures with large variation of local wavelengths and/or characteristic scales pose…

Chaotic Dynamics · Physics 2015-05-20 Dmitrii N Maksimov , Gregor Tanner

Discrete flow mapping was recently introduced as an efficient ray based method determining wave energy distributions in complex built up structures. Wave energy densities are transported along ray trajectories through polygonal mesh…

Computational Physics · Physics 2016-12-21 Janis Bajars , David Chappell , Niels Sondergaard , Gregor Tanner

Controlling systems governed by partial differential equations is an inherently hard problem. Specifically, control of wave dynamics is challenging due to additional physical constraints and intrinsic properties of wave phenomena such as…

Signal Processing · Electrical Eng. & Systems 2023-12-18 Tristan Shah , Feruza Amirkulova , Stas Tiomkin

We address the problem of the statistical analysis of a time series generated by complex dynamics with a new method: the Diffusion Entropy Analysis (DEA) (Fractals, {\bf 9}, 193 (2001)). This method is based on the evaluation of the Shannon…

Statistical Mechanics · Physics 2016-08-31 Nicola Scafetta , Vito Latora , Paolo Grigolini

This article develops a new mathematical method for holistic analysis of nonlinear dynamic compartmental systems through the system decomposition theory. The method is based on the novel dynamic system and subsystem partitioning…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Huseyin Coskun

Dynamic state estimation (DSE) accurately tracks the dynamics of a power system and provides the evolution of the system state in real-time. This paper focuses on the control and protection applications of DSE, comprehensively presenting…

Acoustic and entropy waves interacting in a duct with a steady heat source and mean flow are analysed using an asymptotic expansion (AE) for low frequencies. The analytical AE solutions are obtained by taking advantage of flow invariants…

Fluid Dynamics · Physics 2022-07-21 Jiaqi Nan , Jingxuan Li , Aimee S. Morgans , Lizi Qin , Lijun Yang

The system decomposition theory has recently been developed for the dynamic analysis of nonlinear compartmental systems. The application of this theory to the ecosystem analysis has also been introduced in a separate article. Based on this…

Systems and Control · Computer Science 2020-11-24 Huseyin Coskun

Dynamic languages often employ reflection primitives to turn dynamically generated text into executable code at run-time. These features make standard static analysis extremely hard if not impossible because its essential data structures,…

Programming Languages · Computer Science 2017-02-09 Vincenzo Arceri , Mila Dalla Preda , Roberto Giacobazzi , Isabella Mastroeni

The methods currently used to determine the scaling exponent of a complex dynamic process described by a time series are based on the numerical evaluation of variance. This means that all of them can be safely applied only to the case where…

Statistical Mechanics · Physics 2009-11-07 Nicola Scafetta , Paolo Grigolini

Model identification of battery dynamics is a central problem in energy research; many energy management systems and design processes rely on accurate battery models for efficiency optimization. The standard methodology for battery…

Machine Learning · Computer Science 2023-10-13 Gokhan Budan , Francesca Damiani , Can Kurtulus , N. Kemal Ure

Industrial decision-makers often base decisions on mathematical optimization models to achieve cost-efficient design solutions in energy transitions. However, since a model can only approximate reality, the optimal solution is not…

Optimization and Control · Mathematics 2025-07-24 Hendrik Schricker , Benedikt Schuler , Christiane Reinert , Niklas von der Aßen

High-frequency wave propagation in near-inertial wave shear has been considered fundamental in setting the spectral character of the oceanic internal wave continuum and for transporting energy to wave-breaking. We compare idealized ray…

Atmospheric and Oceanic Physics · Physics 2023-10-27 Kurt L Polzin , Yuri V Lvov

Modeling distributions of covariates, or density estimation, is a core challenge in unsupervised learning. However, the majority of work only considers the joint distribution, which has limited utility in practical situations. A more…

Machine Learning · Computer Science 2021-10-28 Ryan R. Strauss , Junier B. Oliva

A novel approach combining agile beam switching with deep learning to enhance the speed and accuracy of Direction of Arrival (DOA) estimation for millimeter-wave (mmWave) phased array systems with low-complexity hardware implementations is…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Arav Sharma , Lei Chi , Ari Gebhardt , Alon S. Levin , Timothy R. Hoerning , Sam Keene

Modern modeling languages for general physical systems, such as Modelica, Amesim, or Simscape, rely on Differential Algebraic Equations (DAEs), i.e., constraints of the form f(\dot{x},x,u)=0. This drastically facilitates modeling from first…

Programming Languages · Computer Science 2021-01-20 Albert Benveniste , Benoît Caillaud , Mathias Malandain

Energy distributions of high frequency linear wave fields are often modelled in terms of flow or transport equations with ray dynamics given by a Hamiltonian vector field in phase space. Applications arise in underwater and room acoustics,…

Computational Physics · Physics 2014-08-12 David Chappell , Gregor Tanner , Niels Sondergaard , Dominik Loechel

It has been demonstrated that acoustic-emission (AE), inspection of structures can offer advantages over other types of monitoring techniques in the detection of damage; namely, an increased sensitivity to damage, as well as an ability to…

Applications · Statistics 2023-12-12 C. A. Lindley , M. R. Jones , T. J. Rogers , E. J. Cross , R. S. Dwyer-Joyce , N. Dervilis , K. Worden
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