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portada Local Dynamics of Planar Nonlinear Systems, Vol II: Single-Product Function Vector Fields
Type
Physical Book
Publisher
Author
Year
2026
Language
English
Format
Hardcover
Dimensions
23.5 x 15.5 cm
ISBN13
9783032300102

Local Dynamics of Planar Nonlinear Systems, Vol II: Single-Product Function Vector Fields

Albert C. J. Luo (Author) · Springer Nature Switzerland · Hardcover

Local Dynamics of Planar Nonlinear Systems, Vol II: Single-Product Function Vector Fields - Albert C. J. Luo

New Book Imported to South Africa
Delivery: 14 Oct - 29 Oct Shipping: 51 to 57 business days.
R 4,129
R 4,129

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Synopsis "Local Dynamics of Planar Nonlinear Systems, Vol II: Single-Product Function Vector Fields"

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.

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