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Two-dimensional Crossing and Product Cubic Systems, Vol. I : Self-linear and Crossing-quadratic Product Vector Field / by Albert C. J. Luo.
- Format:
- Book
- Author/Creator:
- Luo, Albert C. J., Author.
- Language:
- English
- Subjects (All):
- Dynamics.
- Nonlinear theories.
- Engineering mathematics.
- Engineering--Data processing.
- Engineering.
- Algebra, Universal.
- Plasma waves.
- Applied Dynamical Systems.
- Mathematical and Computational Engineering Applications.
- General Algebraic Systems.
- Waves, instabilities and nonlinear plasma dynamics.
- Local Subjects:
- Applied Dynamical Systems.
- Mathematical and Computational Engineering Applications.
- General Algebraic Systems.
- Waves, instabilities and nonlinear plasma dynamics.
- Physical Description:
- 1 online resource (X, 239 p. 1 illus.)
- Edition:
- 1st ed. 2025.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
- Summary:
- This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are: - double-inflection saddles, - inflection-source (sink) flows, - parabola-saddles (saddle-center), - third-order parabola-saddles, - third-order saddles and centers. · Develops a theory of crossing and product cubic systems with a self-linear and crossing-quadratic product vector field; · Presents singular equilibrium series with inflection-source (sink) flows and networks of simple equilibriums; · Shows equilibrium appearing bifurcations of (2,2)-double-inflection saddles and inflection-source (sink) flows.
- Contents:
- Self and product cubic systems
- Second and third order equibriliums
- Equilibrium series and switching dynamics
- Saddle nodes and hyperbolic flow series
- Simple equilibrium series and switching dynamics.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 9783031595820
- 3031595823
- OCLC:
- 1492745585
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