Nonlinear Complex System I

Periodic Motion and Chaotic Control
Erscheinungsjahr 2026
ISBN: 978-3-032-26382-7
Verlag: Springer

Buch, Englisch, 369 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: Nonlinear Systems and Complexity

This book compiles new developments in nonlinear dynamics, chaos theory, and complex systems analysis across physics, engineering, and applied mathematics. It provides theoretical frameworks and analytical methods for understanding, predicting, and controlling complex behaviors in natural and engineered systems. Key subspecialties include chaos control, bifurcation theory, vibro-impact oscillators, energy harvesting, fractional-order dynamics, and information-theoretic approaches. The collection bridges theory with practical applications through rigorous mathematical formulations and numerical illustrations, offering tools for researchers and practitioners in engineering, physics, biology, and data science.

Zielgruppe

Research

Autoren/Hrsg.

Volchenkov, Dimitri

Xing, Siyuan

Huang, Jianzhe

Xu, Yeyin

Fachgebiete

• Technische Wissenschaften Energietechnik | Elektrotechnik Energieverteilung, Stromnetze
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik

Inhaltsverzeichnis

Exploring Partial Control of Transient Chaos Using Safety Functions.- Connecting the Dots: Homoclinic bifurcations, Spike-adding, and Funnel attractors in Rossler System.- Heteroclinic connections of linear discontinuous differential equation with slowly varying coefficients.- Analytical Solutions of Periodic Motions in an Impact Duffing Oscillator.- Periodic-3 Motions in Nonlinear Piezoelectric Energy Harvester.

Über Autor(innen)

Prof. Dimitri Volchenkov sits in the Department of Mathematics and Statistics, Texas Tech University, Texas, USA; Prof. Siyuan Xing sits in the Department of Mechanical Engineering, California Polytechnic State University, San Luis Obispo, CA, USA; Prof. Jianzhe Huang sits in the Department of Aerospace Information and Control, Shanghai Jiaotong University, China; and Prof. Yeyin Xu sits in the School of Astronautics and Aeronautics, Xi'an Jiaotong University, China.