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- Title
Necessary and sufficient conditions for the boundedness of solutions to two-dimensional quadratic systems in a positively invariant half-plane.
- Authors
Leonov, G. A.
- Abstract
The article offers information on the development of a method for the asymptotic integration of Liénard equation's trajectories for nonlinear dynamical systems. It states that based on the method, sufficient and essential conditions can be derived for the global boundedness of quadratic two-dimensional systems and existence criteria can be developed for limit cycles. It says that classes of systems of form can be singled out that consist of four limit cycles through the use of local bifurcation theory.
- Subjects
ASYMPTOTIC expansions; NUMERICAL analysis; EQUATIONS; NONLINEAR statistical models; BIFURCATION theory; QUADRATIC equations; QUANTUM trajectories; INTEGRAL theorems; DIFFERENTIABLE dynamical systems
- Publication
Doklady Mathematics, 2010, Vol 81, Issue 1, p31
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562410010102