Two-dimensional Two-product Cubic Systems, Vol I Different Product Structure Vector Fields /
This book, the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the equilibrium and flow singularity and bifurcations for appearing and switching bifurcations. The appearing bifurcations herein are parabola-saddles, sadd...
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| מחבר תאגידי: | |
| פורמט: | אלקטרוני ספר אלקטרוני |
| שפה: | אנגלית |
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Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| מהדורה: | 1st ed. 2024. |
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| גישה מקוונת: | https://doi.org/10.1007/978-3-031-48487-2 |
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| 100 | 1 | |a Luo, Albert C. J. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Two-dimensional Two-product Cubic Systems, Vol I |h [electronic resource] : |b Different Product Structure Vector Fields / |c by Albert C. J. Luo. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2024. | |
| 300 | |a X, 336 p. 55 illus., 54 illus. in color. |b online resource. | ||
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| 505 | 0 | |a Chapter 1 Cubic Systems with Two different Product Structures -- Chapter 2 Parabola-saddle and Saddle-source (sink) Singularity -- Chapter 3 Inflection-source (sink) flows and parabola-saddles -- Chapter 4Saddle-source (sink) with hyperbolic flow singularity -- Chapter 5 Equilibrium matrices with hyperbolic flows. | |
| 520 | |a This book, the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the equilibrium and flow singularity and bifurcations for appearing and switching bifurcations. The appearing bifurcations herein are parabola-saddles, saddle-sources (sinks), hyperbolic-to-hyperbolic-secant flows, and inflection-source (sink) flows. The switching bifurcations for saddle-source (sink) with hyperbolic-to-hyperbolic-secant flows and parabola-saddles with inflection-source (sink) flows are based on the parabola-source (sink), parabola-saddles, inflection-saddles infinite-equilibriums. The switching bifurcations for the network of the simple equilibriums with hyperbolic flows are parabola-saddles and inflection-source (sink) on the inflection-source and sink infinite-equilibriums. Readers will learn new concepts, theory, phenomena, and analysis techniques. · Two-different product-cubic systems · Hybrid networks of higher-order equilibriums and flows · Hybrid series of simple equilibriums and hyperbolic flows · Higher-singular equilibrium appearing bifurcations · Higher-order singular flow appearing bifurcations · Parabola-source (sink) infinite-equilibriums · Parabola-saddle infinite-equilibriums · Inflection-saddle infinite-equilibriums · Inflection-source (sink) infinite-equilibriums · Infinite-equilibrium switching bifurcations. Develops a theory of nonlinear dynamics and singularity of two-different product-cubic dynamical systems; Presents networks of singular and simple equilibriums and hyperbolic flows in such different structure product-cubic systems; Reveals network switching bifurcations through infinite-equilibriums of parabola-source (sink) and parabola-saddles. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
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| 650 | 0 | |a Dynamics. | |
| 650 | 0 | |a Nonlinear theories. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering |x Data processing. | |
| 650 | 0 | |a Multibody systems. | |
| 650 | 0 | |a Vibration. | |
| 650 | 0 | |a Mechanics, Applied. | |
| 650 | 0 | |a Universal algebra. | |
| 650 | 1 | 4 | |a Applied Dynamical Systems. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
| 650 | 2 | 4 | |a Multibody Systems and Mechanical Vibrations. |
| 650 | 2 | 4 | |a General Algebraic Systems. |
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| 776 | 0 | 8 | |i Printed edition: |z 9783031484865 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031484889 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031484896 |
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| 950 | |a Engineering (R0) (SpringerNature-43712) | ||