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Two-Dimensional Quadratic Nonlinear Systems: Volume II: Bivariate Vector Fields de Albert C. J. Luo

Two-Dimensional Quadratic Nonlinear Systems: Volume II: Bivariate Vector Fields: Nonlinear Physical Science

Autor Albert C. J. Luo
en Limba Engleză Hardback – 30 mar 2022
The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.
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Specificații

ISBN-13: 9789811678684
ISBN-10: 9811678685
Pagini: 445
Ilustrații: X, 445 p. 117 illus., 113 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.82 kg
Ediția:1st ed. 2021
Editura: Springer Nature Singapore
Colecția Springer
Seria Nonlinear Physical Science

Locul publicării:Singapore, Singapore

Cuprins

Chapter 1 Two-dimensional Linear-bivariate Linear Systems.- Chapter 2 Single-linear-bivariate Quadratic Nonlinear Systems.- Chapter 3 Linear-bivariate Quadratic Dynamics.- Chapter 4 Linear-bivariate Product Quadratic Systems.- Chapter 5 Nonlinear-bivariate Quadratic Systems.


Notă biografică

Prof. Albert C. J. Luo is a Distinguished Research Professor at the Department of Mechanical Engineering at Southern Illinois University Edwardsville, USA. He received his Ph.D. degree from the University of Manitoba, Canada, in 1995. His research focuses on nonlinear dynamics, nonlinear mechanics and nonlinear differential equations , and he has published over 40 books and more than 350 journal articles and conference papers in these fields. He received the Paul Simon Outstanding Scholar Award in 2008 and an ASME fellowship in 2007. He was an editor for Communications in Nonlinear Science and  Numerical Simulation, and an associate editor for ASME Journal of Computational and Nonlinear Dynamics. He now serves as Co-editor of the Journal of Applied Nonlinear Dynamics and Editor of various book series, including “Nonlinear Systems and Complexity” and “Nonlinear Physical Science.”
His major contributions on nonlinear dynamical systems are: •             A theory for stochastic and resonant layers in nonlinear Hamiltonian systems
•             A local theory and singularity for discontinuous dynamical systems
•             Flow barriers theory for discontinuous dynamical systems
•             Synchronization of continuous dynamical systems under specific constraints
•             Synchronization and companion of discrete dynamical systems
•             Analytical solutions of periodic motions in nonlinear systems •             Discretization and implicit mapping dynamics in nonlinear dynamical systems
•             Periodic flows in time-delay systems
•             Memorized nonlinear dynamical systems
In addition, Luo developed accurate theories for nonlinear deformable-body dynamics, machine tool dynamics and others:
•             An approximate plate theory
•             A theory for soft structures
•             A nonlinear theory for beams and rods
•             Fluid-induced nonlinear structural vibration
•             A large damage theory for anisotropic materials
•             A generalized fractal theory
He has published over 350 peer-reviewed journal and conference papers. Luo has been an editor for the Journal Communications in Nonlinear Science and Numerical simulation, and the book series on Nonlinear Systems and Complexity (Springer), and Nonlinear Physical Science (Higher Education Press and Springer).

Textul de pe ultima copertă

The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.

Caracteristici

Focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions Discusses possible singular dynamics of the 2-dimenaional quadratic systems Used as reference for researchers, professors and engineers in mathematics, mechanical and electrical engineering