Introduction to Infinite-Equilibriums in Dynamical Systems

Erscheinungsjahr 2025
ISBN: 978-3-031-89082-6
Verlag: Springer Nature Switzerland

Buch, Englisch, 172 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 446 g

This book examines infinite-equilibriums for the switching bifurcations of two 1-dimensional flows in dynamical systems. Quadratic single-linear-bivariate systems are adopted to discuss infinite-equilibriums in dynamical systems. For such quadratic dynamical systems, there are three types of infinite-equilibriums. The inflection-source and sink infinite-equilibriums are for the switching bifurcations of two parabola flows on the two-directions. The parabola-source and sink infinite-equilibriums are for the switching bifurcations of parabola and inflection flows on the two-directions. The inflection upper and lower-saddle infinite-equilibriums are for the switching bifurcation of two inflection flows in two directions. The inflection flows are for appearing bifurcations of two parabola flows on the same direction. Such switching bifurcations for 1-dimensional flow are based on the infinite-equilibriums, which will help one understand global dynamics in nonlinear dynamical systems. This book introduces infinite-equilibrium concepts and such switching bifurcations to nonlinear dynamics.

Zielgruppe

Research

Autoren/Hrsg.

Luo, Albert C. J

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme

Inhaltsverzeichnis

 Single-linear-bivariate Linear systems.- Constant and Linear-bivariate Quadratic Systems.- Single-linear-bivariate Linear and Quadratic Systems.- Single-linear-bivariate Quadratic Systems.

Über Autor(innen)

Albert C. J. Luo, Distinguished Research Professor at Southern Illinois University Edwardsville. He is an internationally recognized scientist on nonlinear dynamics, discontinuous dynamical systems, nonlinear physics, and applied mathematics. His main contributions are on developing a local singularity theory for discontinuous dynamical systems, dynamical systems synchronization, generalized harmonic balance method for analytical solutions of periodic motions to chaos, implicit mapping method for semi-analytical solutions of periodic motions to chaos; a nonlinear dynamical theory for the Hilbert 16 problem; nonlinear Hamiltonian chaos.