Luo, Albert C. J. <br/><br/>
Two-dimensional Product-Cubic Systems, Vol. IV  Crossing-quadratic Vector Fields /  [electronic resource] : 
by Albert C. J. Luo. 
 - 1st ed. 2024. 
 - X, 256 p. 42 illus., 41 illus. in color.  online resource. 
<br/><br/>Preface  -- Crossing-quadratic and product-cubic systems -- Double-inflection-saddles and bifurcation dynamics -- Parabola-saddles and bifurcation. 
<br/><br/> 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. . 
<br/><br/><label>ISBN: </label>9783031571046 
<br/><br/><label>Standard No.: </label>10.1007/978-3-031-57104-6  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/><br/><br/><br/><br/><br/><br/><br/>--Data processing.<br/><br/><br/><br/><br/><br/>
<br/><br/><label>LC Class. No.: </label>TA352-356 QC20.7.N6