TY  - BOOK
AU  - Luo,Albert C.J.
ED  - SpringerLink (Online service)
TI  - Two-dimensional Product-Cubic Systems, Vol. IV: Crossing-quadratic Vector Fields 
SN  - 9783031571046
AV  - TA352-356 
U1  - 515.39 23
PY  - 2024///
CY  - Cham
PB  - Springer Nature Switzerland, Imprint: Springer
KW  - Dynamics
KW  - Nonlinear theories
KW  - Dynamical systems
KW  - Multibody systems
KW  - Vibration
KW  - Mechanics, Applied
KW  - Engineering mathematics
KW  - Engineering
KW  - Data processing
KW  - Universal algebra
KW  - Applied Dynamical Systems
KW  - Dynamical Systems
KW  - Multibody Systems and Mechanical Vibrations
KW  - Mathematical and Computational Engineering Applications
KW  - General Algebraic Systems
N1  - Preface  -- Crossing-quadratic and product-cubic systems -- Double-inflection-saddles and bifurcation dynamics -- Parabola-saddles and bifurcation
N2  - This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink). The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include: Parabola-source (sink) infinite-equilibriums, Inflection-source (sink) infinite-equilibriums, Hyperbolic (circular) sink-to source infinite-equilibriums, Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums. Develops a theory of cubic dynamical systems having a product-cubic vector field and a crossing-quadratic vector field; Shows equilibriums and paralleled hyperbolic and hyperbolic-secant flows with switching though infinite-equilibriums; Presents CCW and CW centers separated by a paralleled hyperbolic flow and positive and negative saddles.
UR  - http://libcon.rec.uabc.mx:2048/login?url=https://doi.org/10.1007/978-3-031-57104-6
ER  -