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Introduction to Infinite-Equilibriums in Dynamical Systems

By Luo, Albert C. J

Product Image: Introduction to Infinite-Equilibriums in Dynamical Systems

Introduction to Infinite-Equilibriums in Dynamical Systems

By Luo, Albert C. J

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Description
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. - Introduces the infinite-equilibriums for the switching of two 1-dimensional flows on two directions; - Explains inflection-source and sink, parabola-source and source, inflection-saddle infinite-equilibriums; - Develops parabola flows and inflections flows for appearing of two parabola flows.
Product details
Number of Pages:
184
Release Date:
2025-06-21
Publication Date:
2025-06-21
Publisher:
Springer Nature Switzerland
Languages:
Original: English
ISBN10:
3031890825
ISBN13:
9783031890826
GPSR Manufacturer Reference:
[email protected]
Weight:
446 g
Height:
160 cm
Width:
241 cm
Thickness:
16 cm
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