On Periodic Solutions Of Lienard Equations
On Periodic Solutions Of Lienard Equations
We Prove That The Uniform Upper Bound for the Number Of Limit Cycles Of The Lienard Equation of Degree 4 Can be equals to 2. Further We Suggest to Embedding Planar Lienard Equations In Higher Dimension and Present question of completly integrabiolity of Corresponding Hamiltonians. Actually this Question Suggest To Look at to Limit Cycles Problems with KAM methods
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Liénard equation, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, polynomial systems, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, number of limit cycles
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Liénard equation, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, polynomial systems, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, number of limit cycles
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