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Differential analysis aims at inferring global properties of nonlinear behaviors from the local analysis of the linearized dynamics. The paper motivates and illustrates the use of differential analysis on the nonlinear pendulum model, an…

Systems and Control · Computer Science 2016-11-15 Fulvio Forni , Rodolphe Sepulchre

Nonlinear Optical Spectroscopy is a well-developed field with theoretical and experimental advances that have aided multiple fields including chemistry, biology and physics. However, accurate quantum dynamical simulations based on model…

Quantum Physics · Physics 2023-12-19 S. A. Shah , Hao Li , Eric R. Bittner , Carlos Silva , Andrei Piryatinski

A new algorithm is presented for reconstructing stochastic nonlinear dynamical models from noisy time-series data. The approach is analytical; consequently, the resulting algorithm does not require an extensive global search for the model…

Other Condensed Matter · Physics 2009-11-10 V. N. Smelyanskiy , D. G. Luchinsky , D. A. Timucin , A. Bandrivskyy

Python has emerged as one of the most popular programming languages, extensively utilized in domains such as machine learning, data analysis, and web applications. Python's dynamic nature and extensive usage make it an attractive candidate…

Software Engineering · Computer Science 2024-03-04 Islem Bouzenia , Bajaj Piyush Krishan , Michael Pradel

Trajectories, sequentially measured quantities that form a path, are an important presence in many different fields, from hadronic beams in physics to electrocardiograms in medicine. Trajectory anal-ysis requires the quantification and…

Quantitative Methods · Quantitative Biology 2023-08-23 Maurício Moreira-Soares , Eduardo Mossmann , Rui D. M. Travasso , José Rafael Bordin

The analysis of experimental results with Python often requires writing many code scripts which all need access to the same set of functions. In a common field of research, this set will be nearly the same for many users. The qspec Python…

Computational Physics · Physics 2025-03-18 Patrick Müller , Wilfried Nörtershäuser

PySEMTools is a Python-based library for post-processing simulation data produced with high-order hexahedral elements in the context of the spectral element method in computational fluid dynamics. It aims to minimize intermediate steps…

Computational Physics · Physics 2025-04-18 Adalberto Perez , Siavash Toosi , Tim Felle Olsen , Stefano Markidis , Philipp Schlatter

Non-Markovian dynamics arising from the strong coupling of a system to a structured environment is essential in many applications of quantum mechanics and emerging technologies. Deriving an accurate description of general quantum dynamics…

Mathematical modelling allows us to concisely describe fundamental principles in biology. Analysis of models can help to both explain known phenomena, and predict the existence of new, unseen behaviours. Model analysis is often a complex…

Quantitative Methods · Quantitative Biology 2020-08-13 Mark Blyth , Ludovic Renson , Lucia Marucci

Identifying the intrinsic coordinates or modes of the dynamical systems is essential to understand, analyze, and characterize the underlying dynamical behaviors of complex systems. For nonlinear dynamical systems, this presents a critical…

Chaotic Dynamics · Physics 2025-01-27 Abdolvahhab Rostamijavanani , Shanwu Li , Yongchao Yang

We report on the implementation of a tool for the analysis of second-order elastic stiffness tensors, provided with both an open-source Python module and a standalone online application providing visualization tools of anisotropic…

Materials Science · Physics 2016-05-26 Romain Gaillac , Pluton Pullumbi , François-Xavier Coudert

PARMESAN (the Python Atmospheric Research Package for MEteorological TimeSeries and Turbulence ANalysis) is a Python package providing common functionality for atmospheric scientists doing time series or turbulence analysis. Several…

We introduce Dialz, a framework for advancing research on steering vectors for open-source LLMs, implemented in Python. Steering vectors allow users to modify activations at inference time to amplify or weaken a 'concept', e.g. honesty or…

Machine Learning · Computer Science 2025-06-04 Zara Siddique , Liam D. Turner , Luis Espinosa-Anke

Fuzzy logic is an accepted and well-developed approach for constructing verbal models. Fuzzy based methods are getting more popular, while the engineers deal with more daily life tasks. This paper presents a new Python toolkit for Interval…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Amir Arslan Haghrah , Sehraneh Ghaemi

We present here the first release of the open-source python package ExoTETHyS, which aims to provide a stand-alone set of tools for modeling spectro-photometric observations of the transiting exoplanets. In particular, we describe: (1) a…

Earth and Planetary Astrophysics · Physics 2020-02-05 Giuseppe Morello , Antonio Claret , Marine Martin-Lagarde , Christophe Cossou , Angelos Tsiaras , Pierre-Olivier Lagage

We present dynesty, a public, open-source, Python package to estimate Bayesian posteriors and evidences (marginal likelihoods) using Dynamic Nested Sampling. By adaptively allocating samples based on posterior structure, Dynamic Nested…

Instrumentation and Methods for Astrophysics · Physics 2020-02-12 Joshua S Speagle

Nonlinear mixed effects modeling is a powerful tool when analyzing data from several entities in an experiment. In this paper, we present NLMEModeling, a package for mixed effects modeling in Wolfram Mathematica. NLMEModeling supports mixed…

Computation · Statistics 2020-11-16 Jacob Leander , Joachim Almquist , Anna Johnning , Julia Larsson , Mats Jirstrand

The presence of physical systems whose characteristics change in a seemingly erratic manner gives rise to the study of chaotic systems. The characteristics of these systems are due to their hypersensitivity to changes in initial conditions.…

Chaotic Dynamics · Physics 2013-06-06 Louis Ehwerhemuepha , Godfrey E. Akpojotor

First principles modeling of physical systems has led to significant technological advances across all branches of science. For nonlinear systems, however, small modeling errors can lead to significant deviations from the true, measured…

Machine Learning · Computer Science 2019-09-19 Kadierdan Kaheman , Eurika Kaiser , Benjamin Strom , J. Nathan Kutz , Steven L. Brunton

In current electronic structure research endeavors such as warm dense matter or machine learning applications, efficient development necessitates non-monolithic software, providing an extendable and flexible interface. The open-source idea…

Computational Physics · Physics 2025-01-17 Wanja Timm Schulze , Sebastian Schwalbe , Kai Trepte , Stefanie Gräfe