Local Dynamics of Planar Nonlinear Systems, Vol III: Two-Product Function Vector Fields

By Albert C. J. Luo

This third of three related books examines local dynamics of planar nonlinear dynamical systems with two product-function vector fields through polynomialization. The equilibriums in two-product function systems include self-univariate and crossing-univariate equilibriums. The singular self and crossing-equilibriums and singular hyperbolic-flows are presented first, and the singular infinite-equilibriums are discussed for switching of self and crossing-equilibriums with hyperbolic flows. Local singular hybrid networks of self and crossing-equilibriums and hyperbolic flows in two-product function planar systems are discussed, and infinite-equilibriums in local singular hybrid networks are obtained. The simple 1-dimensional flows and equilibriums with infinite-equilibriums in two-product function systems are discussed, and the switching bifurcations of two local hybrid networks are presented

• Format: Hardcover
• Language: English
• ISBN: 3032301483
• ISBN13: 9783032301482
• Release Date: August 2026
• Publisher: Springer
• Length: 271 Pages