Two-dimensional Self and Product Cubic Systems, Vol. II
Autor Albert C. J. Luoen Limba Engleză Hardback – 13 sep 2024
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Specificații
ISBN-13: 9783031570995
ISBN-10: 3031570995
Pagini: 230
Ilustrații: X, 227 p. 83 illus., 82 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.61 kg
Ediția:2024
Editura: Springer Nature Switzerland
Colecția Springer
Locul publicării:Cham, Switzerland
ISBN-10: 3031570995
Pagini: 230
Ilustrații: X, 227 p. 83 illus., 82 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.61 kg
Ediția:2024
Editura: Springer Nature Switzerland
Colecția Springer
Locul publicării:Cham, Switzerland
Cuprins
Quadratic and Cubic Product Systems.- Inflection Singularity and Bifurcation Dynamics.- Saddle-node and hyperbolic-flow singular dynamics.
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 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center).
- Develops a theory of crossing and product cubic systems with a crossing-linear and self-quadratic product vector field;
- Presents equilibrium series with hyperbolic-to-hyperbolic-scant flows and with paralleled hyperbolic flows;
- Shows equilibrium series switching bifurcations by up-down hyperbolic upper-to-lower saddles, parabola-saddles, et al.
Caracteristici
Develops a theory of crossing and product cubic systems with a crossing-linear and self-quadratic product vector field Presents equilibrium series with hyperbolic-to-hyperbolic-scant flows and with paralleled hyperbolic flows Shows equilibrium series switching bifurcations by up-down hyperbolic upper-to-lower saddles, parabola-saddles, et al