This book examines infinite-equilibriums for the switching
bifurcations of two 1-dimensional flows in dynamical systems.
Quadratic single-linear-bivariate systems are adopted to discuss
infinite-equilibriums in dynamical systems. For such quadratic
dynamical systems, there are three types of infinite-equilibriums. The
inflection-source and sink infinite-equilibriums are for the
switching bifurcations of two parabola flows on the two-directions.
The parabola-source and sink infinite-equilibriums are for the
switching bifurcations of parabola and inflection flows on the
two-directions. The inflection upper and lower-saddle
infinite-equilibriums are for the switching bifurcation of two
inflection flows in two directions. The inflection flows are for
appearing bifurcations of two parabola flows on the same direction.
Such switching bifurcations for 1-dimensional flow are based on the
infinite-equilibriums, which will help one understand global dynamics
in nonlinear dynamical systems. This book introduces
infinite-equilibrium concepts and such switching bifurcations to
nonlinear dynamics.
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Produktdetaljer
ISBN
9783031890833
Publisert
2025
Utgiver
Springer Nature
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter