Bruno C. Dynamical Systems Theory, Models, Algorithms...2021

Textbook in PDF format

This book provides an overview of recent developments in the theory of dynamical systems, presenting some significant advances in the definition of new models, computer algorithms, and applications. Researchers, engineers and graduate students in both pure and applied mathematics will benefit from the chapters collected in this volume.
The theory of modern dynamical systems dates back to 1890 with studies by Poincaré on celestial mechanics. The tradition was continued by Birkhoff in the United States with his pivotal work on periodic orbits, and by the Moscow School in Russia (Liapunov, Andronov, Pontryagin). In the 1960s the field was revived by the emergence of the theory of chaotic attractors, and in modern years by accurate computer simulations.
Text Mining for Industrial Machine Predictive Maintenance with Multiple Data Sources
Vibrations of an Elastic Beam Subjected by Two Kinds of Moving Loads and Positioned on a Foundation having Fractional Order Viscoelastic Physical Properties
Chaotic Dynamics and Complexity in Real and Physical Systems
Invariants for a Dynamical System with Strong Random Perturbations
Stochastic Theory of Coarse-Grained Deterministic Systems: Martingales and Markov Approximations
Qualitative Analysis for Controllable Dynamical Systems: Stability with Control Lyapunov Functions