Two-dimensional Product Cubic Systems, Vol. VII
Autor: | Albert C. J. Luo |
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EAN: | 9783031484834 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 21.10.2024 |
Untertitel: | Self- Quadratic Vector Fields |
Kategorie: | |
Schlagworte: | Constant and crossing-cubic systems;Self-linear and crossing-cubic systems;Self-quadratic and crossing-cubic systems;1-dimensional flow singularity and bifurcations;Third-order parabola and inflection flows |
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This book is the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the appearing bifurcations of the saddle-source and saddle-sink, and also the appearing bifurcations of the network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations include:
• inflection-saddle infinite-equilibriums,
• hyperbolic-source (sink) infinite-equilibriums,
• up-down (down-up) saddle infinite-equilibriums,
• inflection-source (sink) infinite-equilibriums.