Two-dimensional Self and Product Cubic Systems, Vol. I: Crossing-linear and Self-quadratic Product Vector Field
Autor Albert C. J. Luoen Limba Engleză Hardback – 31 aug 2024
- double-inflection saddles,
- inflection-source (sink) flows,
- parabola-saddles (saddle-center),
- third-order parabola-saddles,
- third-order saddles (centers),
- third-order saddle-source (sink).
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Specificații
ISBN-13: 9783031570957
ISBN-10: 3031570952
Pagini: 231
Ilustrații: X, 111 p. 43 illus., 42 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.56 kg
Ediția:2024
Editura: Springer Nature Switzerland
Colecția Springer
Locul publicării:Cham, Switzerland
ISBN-10: 3031570952
Pagini: 231
Ilustrații: X, 111 p. 43 illus., 42 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.56 kg
Ediția:2024
Editura: Springer Nature Switzerland
Colecția Springer
Locul publicării:Cham, Switzerland
Cuprins
Crossing and Product cubic Systems.- Double-inflection Saddles and Parabola-saddles.- Three Parabola-saddle Series and Switching Dynamics.- Parabola-saddles, (1:1) and (1:3)-Saddles and Centers.- Equilibrium Networks and Switching with Hyperbolic Flows.
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 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are:
- double-inflection saddles,
- inflection-source (sink) flows,
- parabola-saddles (saddle-center),
- third-order parabola-saddles,
- third-order saddles (centers),
- third-order saddle-source (sink).
- Develops a theory of crossing and product cubic systems with a self-linear and crossing-quadratic product vector field;
- Presents singular equilibrium series with inflection-source (sink) flows and networks of simple equilibriums;
- Shows equilibrium appearing bifurcations of (2,2)-double-inflection saddles and inflection-source (sink) flows.
Caracteristici
Develops a theory of crossing and product cubic systems with a self-linear and crossing-quadratic product vector field Presents singular equilibrium series with inflection-source (sink) flows and networks of simple equilibriums Shows equilibrium appearing bifurcations of (2,2)-double-inflection saddles and inflection-source (sink) flows