Two-dimensional Product Cubic Systems, Vol. VII
Albert C. J. Luo
Naturwissenschaften, Medizin, Informatik, Technik / Maschinenbau, Fertigungstechnik
Beschreibung
This book is the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the appearing bifurcations of the saddle-source and saddle-sink, and also the appearing bifurcations of the network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations include:
• inflection-saddle infinite-equilibriums,
• hyperbolic-source (sink) infinite-equilibriums,
• up-down (down-up) saddle infinite-equilibriums,
• inflection-source (sink) infinite-equilibriums.
Kundenbewertungen
Self-quadratic and crossing-cubic systems, Self-linear and crossing-cubic systems, Constant and crossing-cubic systems, 1-dimensional flow singularity and bifurcations, Third-order parabola and inflection flows