Two-dimensional Two-product Cubic Systems Vol. X - Albert C. J. Luo

Two-dimensional Two-product Cubic Systems Vol. X

Crossing-linear and Self-quadratic Product Vector Fields
Buch | Hardcover
X, 320 Seiten
2024 | 2024
Springer International Publishing (Verlag)
978-3-031-48490-2 (ISBN)
181,89 inkl. MwSt

This book is the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds. The equilibrium and flow singularity and bifurcations discussed in this volume are for the appearing and switching bifurcations. The double-saddle equilibriums described are the appearing bifurcations for saddle source and saddle-sink, and for a network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations are also presented, specifically:

· Inflection-saddle infinite-equilibriums,

· Hyperbolic (hyperbolic-secant)-sink and source infinite-equilibriums

· Up-down and down-up saddle infinite-equilibriums,

· Inflection-source (sink) infinite-equilibriums.

 

 

 

lt;p>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.


 


 

 

Preface.- Crossing-linear and Self-quadratic Product Systems.- Double-saddles and switching dynamics.- Vertically Paralleled Saddle-source and Saddle-sink.- Horizontally Paralleled Saddle-source and Saddle-sink.- Simple Equilibrium Networks and Switching Dynamics.

Erscheinungsdatum
Zusatzinfo X, 320 p. 98 illus., 97 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Technik
Schlagworte 1-dimensional flow singularity and bifurcations • Constant and crossing-cubic systems • crossing-linear and self-quadratic product vector fields • Self-linear and crossing-cubic systems • Self-quadratic and crossing-cubic systems • Third-order parabola and inflection flows • Two-dimensional two-product cubic systems
ISBN-10 3-031-48490-8 / 3031484908
ISBN-13 978-3-031-48490-2 / 9783031484902
Zustand Neuware
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