Quadratic Hamilton–Poisson Systems in Three Dimensions: Equivalence, Stability, and Integration

Author:

Biggs RoryORCID,Remsing Claudiu C.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference48 articles.

1. Abraham, R., Marsden, J.E.: Foundations of Mechanics, 2nd edn. Benjamin-Cummings, Reading (1978)

2. Adams, R.M., Biggs, R., Remsing, C.C.: Single-input control systems on the Euclidean group SE ( 2 ) $\mathsf{SE}(2)$ . Eur. J. Pure Appl. Math. 5(1), 1–15 (2012)

3. Adams, R.M., Biggs, R., Remsing, C.C.: On some quadratic Hamilton–Poisson systems. Appl. Sci. 15, 1–12 (2013)

4. Adams, R.M., Biggs, R., Remsing, C.C.: Two-input control systems on the Euclidean group SE ( 2 ) $\mathsf{SE}(2)$ . ESAIM Control Optim. Calc. Var. 19(4), 947–975 (2013). doi: 10.1051/cocv/2012040

5. Adams, R.M., Biggs, R., Remsing, C.C.: Quadratic Hamilton–Poisson systems on so − ∗ ( 3 ) $\mathfrak{so}^{*}_{-}(3)$ : classifications and integration. In: Mladenov, I.M., Ludu, A., Yoshioka, A. (eds.) Proceedings of the 15th International Conference on Geometry, Integrability and Quantization, Varna, Bulgaria, 2013, pp. 55–66. Avangard Prima, Sophia (2014)

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