Nonlinear Dynamics of Time Delay Systems (eBook)

Methods and Applications

Jian Xu (Autor)

eBook Download: PDF

2024 | 1. Auflage
XVIII, 481 Seiten
Springer-Verlag
978-981-99-9907-1 (ISBN)

Infos

This book presents research advancements in the dynamics of systems with time delay conducted by the group led by Professor Jian Xu. Addressing the challenges arising from the joint impact of time delay and nonlinearity, novel theoretical approaches are developed to formulate the nonlinear response of the system. This facilitates the classification of complex nonlinear dynamics, especially the non-resonant and resonant double Hopf bifurcation. In contrast to systems without time delay, time delay systems require specific considerations when identifying system parameters, particularly the time delay. Consequently, inverse problems of systems with time delay are also explored in this book. Moreover, detailed investigations on vibration suppression methods and experimental prototypes based on time delay, such as time delay isolators with quasi-zero stiffness, are conducted. Simultaneously, this book is enriched with a large number of case studies ranging from manufacturing, network science, biology, and public transportation, illuminating the mechanisms of delay-induced nonlinear dynamics in practical applications. This book is suitable for graduate students and researchers who are eager to understand the delay-induced nonlinear dynamics, or technical personnel in whose projects small variations of time delay may cause significant changes in system responses. 

Produkt-Details

• Erscheint lt. Verlag: 7.2.2024
• Zusatzinfo: XVIII, 481 p. 231 illus., 143 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: biological model with time delay • identification of time delay system • Nonlinear Dynamics • perturbation-incremental method • stability of time delay system • time delay in coupled system • time delay system • traffic model with time delay • vibration absorption by means of time delay • vibration isolation by means of time delay
• ISBN-10: 981-99-9907-3 / 9819999073
• ISBN-13: 978-981-99-9907-1 / 9789819999071