Bibliographic Details
| Title: |
The Easiest Polynomial Differential Systems in ℝ3 Having an Invariant Hyperboloid. |
| Authors: |
Llibre, Jaume1 (AUTHOR) jaume.llibre@uab.cat, Salhi, Tayeb2 (AUTHOR) t.salhi@univ-bba.dz |
| Source: |
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. Sep2025, Vol. 35 Issue 12, p1-16. 16p. |
| Subjects: |
Dynamical systems, Hyperboloid structures, Differential-algebraic equations, Phase diagrams, Algebraic surfaces, Integrals, Symmetry |
| Abstract: |
This paper answers the following two questions: What are the easiest polynomial differential systems in ℝ 3 having an invariant hyperboloid of one sheet, or an invariant hyperboloid of two sheets? And, for this kind of polynomial differential systems, what are their phase portraits on such an invariant hyperboloids? To solve these questions, a method based on first integrals, symmetry, analysis of the nature of equilibrium points, and invariant algebraic surfaces is employed. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
