Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I: A Self-univariate Cubic Vector Field
Autor Albert C. J. Luoen Limba Engleză Hardback – 29 aug 2024
Preț: 958.36 lei
Preț vechi: 1261.00 lei
-24% Nou
Puncte Express: 1438
Preț estimativ în valută:
183.41€ • 191.07$ • 152.49£
183.41€ • 191.07$ • 152.49£
Carte tipărită la comandă
Livrare economică 07-13 februarie 25
Preluare comenzi: 021 569.72.76
Specificații
ISBN-13: 9783031484711
ISBN-10: 3031484711
Pagini: 400
Ilustrații: X, 390 p.
Dimensiuni: 155 x 235 mm
Ediția:2024
Editura: Springer Nature Switzerland
Colecția Springer
Locul publicării:Cham, Switzerland
ISBN-10: 3031484711
Pagini: 400
Ilustrații: X, 390 p.
Dimensiuni: 155 x 235 mm
Ediția:2024
Editura: Springer Nature Switzerland
Colecția Springer
Locul publicării:Cham, Switzerland
Cuprins
Chapter 1 Constant and Self-cubic Vector fields.- Chapter 2 Crossing-linear and Self-cubic Vector Fields.- Chapter 3 Crossing-quadratic and Self-Cubic Vector Fields.- Chapter 4 Two Single-variable Cubic Vector Fields.
Notă biografică
Dr. Albert C. J. Luo is a Distinguished Research Professor at the Southern Illinois University Edwardsville, in Edwardsville, IL, USA. Dr. Luo worked on Nonlinear Mechanics, Nonlinear Dynamics, and Applied Mathematics. He proposed and systematically developed: (i) the discontinuous dynamical system theory, (ii) analytical solutions for periodic motions in nonlinear dynamical systems, (iii) the theory of dynamical system synchronization, (iv) the accurate theory of nonlinear deformable-body dynamics, (v) new theories for stability and bifurcations of nonlinear dynamical systems. He discovered new phenomena in nonlinear dynamical systems. His methods and theories can help understanding and solving the Hilbert sixteenth problems and other nonlinear physics problems. The main results were scattered in 45 monographs in Springer, Wiley, Elsevier, and World Scientific, over 200 prestigious journal papers, and over 150 peer-reviewed conference papers.
Textul de pe ultima copertă
This book, the first of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of self-variables and are discussed as the first part of the book. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-dimensional cubic systems are for the first time to be presented. Third-order source and sink flows are presented, and the third-order parabola flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order source and sink flows, and the second-order saddle flows with the first and third-order parabola flows, and the inflection flows. The appearing bifurcations in such cubic systems includes saddle flows and third-order source (sink) flows, inflection flows and third-order up (down)-parabola flows.
- Develops the theory for 1-dimensonal flow singularity and bifurcations to elucidate dynamics of nonlinear systems;
- Provides a new research direction in nonlinear dynamics community;
- Shows how singularity and bifurcations occur not only for equilibriums and attractors but also for 1-dimensional flows.
Caracteristici
Develops the theory for 1-dimensonal flow singularity and bifurcations to elucidate dynamics of nonlinear systems Provides a new research direction in nonlinear dynamics community Shows how singularity and bifurcations occur not only for equilibriums and attractors but also for 1-dimensional flows