This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. Starting from the idea of a constant of motion for simple systems of differential equations, it investigates the essence of integrability, it
Integrability of nonlinear dynamical systems and differential geometry structures
β Scribed by V. G. Samoilenko
- Book ID
- 112473094
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 447 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0041-5995
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For Lecture Courses That Cover The Classical Theory Of Nonlinear Differential Equations Associated With Poincare And Lyapunov And Introduce The Student To The Ideas Of Bifurcation Theory And Chaos, This Text Is Ideal. Its Excellent Pedagogical Style Typically Consists Of An Insightful Overview Follo
It has been shown that when an n-dimensional dynamical system admits a generalized symmetry vector field which Ε½ involves a divergence-free Liouville vector field, then it possesses n y 1 independent first integrals i.e., it is algebraically . integrable . Furthermore, the Liouville vector field can