{"product_id":"local-dynamics-of-planar-nonlinear-systems-vol-ii","title":"Local Dynamics of Planar Nonlinear Systems, Vol II","description":"This second of three related books examines local dynamics of planar nonlinear systems with single product-function vector fields through polynomialization. The self or crossing-univariate function and single product function constitute function vector fields. Local hybrid arrays of 1-dimensional flows and local hybrid networks of equilibriums and 1-dimensinal in planar nonlinear dynamical systems are discussed. The 1-dimensional flows and equilibriums with infinite-equilibriums in planar nonlinear dynamical systems are discussed, and the switching bifurcations of two local hybrid networks of equilibriums and 1-dimensional flows are presented. For self-univariate and single product function vector fields, the self-univariate equilibriums are sink, source, saddle, saddle-sink and saddle-source, and double-saddles, and the corresponding hybrid networks are formed by self-univariate equilibriums and singular hyperbolic flows. For crossing-univariate and product function vector fields, the equilibriums are saddles and centers, parabola-saddles, and inflection-saddles. The local singular networks are formed by crossing-univariate equilibriums and singular\/simple hyperbolic flows.","brand":"Gardners","offers":[{"title":"Default Title","offer_id":57536453706101,"sku":"9783032300102","price":139.99,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/backstory.london\/products\/local-dynamics-of-planar-nonlinear-systems-vol-ii","provider":"Backstory","version":"1.0","type":"link"}