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Global Dynamics of a Planar Polynomial Mechanical System

Journal of Advances in Civil and Mechanical Engineering
In this paper, using a bifurcational geometric approach, we study the global dynamics and solve the problem on the maximum number and distribution of limit cycles in a planar polynomial Euler–Lagrange–Lienard type mechanical system.
openaire   +1 more source

Periodic solutions for a class of planar, singular dynamical systems

1989
It is proved that the existence of at least one T-periodic solution of minimal period T for a system of differential equations of the form - ÿ\(=\nabla V(y)\) where \(y\in {\mathbb{R}}^ 2\), \(V: {\mathbb{R}}^ 2\setminus \{0\}\to {\mathbb{R}}\) and \(V(y)\equiv -| y| ^{-\alpha}-U(y)\) with \(\alpha >1\) and U, spherically symmetric in a ball of radius ...
openaire   +2 more sources

Vortex Dynamics in the Ordering Process of the Three-Dimensional Planar System

Journal of the Physical Society of Japan, 1991
Hiroyasu Toyoki
exaly  

Necessary and Sufficient Condition for a Class of Planar Dynamical Systems Related to CNNs to be Completely Stable

IEEE Transactions on Circuits and Systems Part 2: Express Briefs, 2006
Norikazu Takahashi
exaly  

A Dynamical Characterization of Planar Symmetries

Qualitative Theory of Dynamical Systems, 2011
Ortega Rafael
exaly  

Numerical computation of connecting orbits in planar piecewise smooth dynamical system

Journal of Mathematical Analysis and Applications, 2017
Yongkui Zou
exaly  

The multifractal spectra of certain planar recurrence sets in the continued fraction dynamical system

Journal of Mathematical Analysis and Applications, 2015
Zhixiong Wen
exaly  

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