Periodic Flows to Chaos in Time-delay Systems

Softcover Nachdruck of the original 1. Auflage 2017
ISBN: 978-3-319-82631-8
Verlag: Springer International Publishing

Buch, Englisch, Band 16, 198 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 324 g

Reihe: Nonlinear Systems and Complexity

This book for the first time examines periodic motions to chaos in time-delay systems, which exist extensively in engineering. For a long time, the stability of time-delay systems at equilibrium has been of great interest from the Lyapunov theory-based methods, where one cannot achieve the ideal results. Thus, time-delay discretization in time-delay systems was used for the stability of these systems. In this volume, Dr. Luo presents an accurate method based on the finite Fourier series to determine periodic motions in nonlinear time-delay systems. The stability and bifurcation of periodic motions are determined by the time-delayed system of coefficients in the Fourier series and the method for nonlinear time-delay systems is equivalent to the Laplace transformation method for linear time-delay systems.

Zielgruppe

Research

Autoren/Hrsg.

Luo, Albert C. J.

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Nichtlineare Wissenschaft

Inhaltsverzeichnis

Linear Time-delay Systems.- Nonlinear Time-delay System.- Periodic Flows in Time-delay Systems.- Quasiperiodic Flows in Time-delay Systems.- Time-delay Duffing Oscillator.

Über Autor(innen)

Dr. Albert C. J. Luo is Professor of Mechanical Engineering at Southern Illinois University in Edwardsville.