Introduction to Infinite-Equilibriums in Dynamical Systems
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Product details:
- Publisher Springer
- Date of Publication 13 June 2025
- Number of Volumes 1 pieces, Book
- ISBN 9783031890826
- Binding Hardback
- No. of pages186 pages
- Size 235x155 mm
- Language English
- Illustrations 3 Illustrations, black & white; 42 Illustrations, color 700
Categories
Short 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.
Long 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.
MoreTable of Contents:
Single-linear-bivariate Linear systems.- Constant and Linear-bivariate Quadratic Systems.- Single-linear-bivariate Linear and Quadratic Systems.- Single-linear-bivariate Quadratic Systems.
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