TY - CHAP A1 - Elena Karachanskaya ED1 - Bruno Carpentieri Y1 - 2021-07-28 PY - 2021 T1 - Invariants for a Dynamical System with Strong Random Perturbations N2 - 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. 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. BT - Advances in Dynamical Systems Theory, Models, Algorithms and Applications SP - Ch. 4 UR - https://doi.org/10.5772/intechopen.96235 DO - 10.5772/intechopen.96235 SN - 978-1-83969-124-9 PB - IntechOpen CY - Rijeka Y2 - 2021-10-23 ER -