Local Dynamics of Planar Nonlinear Systems, Vol III
Two-Product Function Vector Fields
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Beschreibung
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
- Introduces polynomialization of nonlinear dynamical systems rather than Linearization
- Develops local dynamics of two-product function systems
- Advances bifurcation dynamics of two-product function systems
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
Introduces polynomialization of nonlinear dynamical systems rather than Linearization Develops local dynamics of two-product function systems Advances bifurcation dynamics of two-product function systems
Autor*in
Albert C. J. Luo
Themen in »Local Dynamics of Planar Nonlinear Systems, Vol III«
Constant and self-univariate function systems Constant and crossing-univariate function systems Single-variable function systems Self-univariate function systems Crossing-univariate function system Approximate polynomialized systems Singular self-flows Singular crossing-flows Singular self-flow arrays Singular crossing-flow arrays Local hybrid arrays of self and crossing flows Infinite-equilibriums for two hybrid flows arrays Singular self-equilibriums Singular crossing-equilibriums Bifurcation of singular self-equilibriums