This Reprint is dedicated to Prof. Osvaldo A. Rosso (Federal University of Alagoas in Macei�, Brazil), on the occasion of his 70th birthday. In his distinguished academic career, Prof. Rosso has authored more than 290 research publications, including about 182 papers published in international journals, mostly on time series analysis, nonlinear dynamics, information theory, and complex networks, as well as their applications to physics and bio-medical sciences. As a result, Prof. Rosso was nominated among the top 5% of researchers with high impact in biological applications in the years 2022, 2023, and 2024. In addition to the vast and influential work of Prof. Rosso, we would also like to highlight his leadership and mentoring, especially in South America, where he has nurtured a large and very active community of former students and collaborators in the field of nonlinear time series analysis with a strong emphasis on applications.

In recognition of Prof. Rosso's outstanding trajectory, this Reprint comprises eighteen contributions on nonlinear dynamics and applications that have been organized into five topics-nonlinear time series analysis, dynamical systems and models, physics, chaos synchronization, and networks-along with a review of the applications of entropy in data analysis and machine learning. These topics not only reflect the main research fields of Prof. Rosso but they also showcase the diversity of topics covered in nonlinear dynamics, while suggesting timely lines of research to readers.

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