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Existence of a smooth Lyapunov function for any smooth planar dynamical system with one limit cycle
Nonlinear Dynamics, 2021Xiaoliang Gan, Ping Ao
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Perturbations and Hopf bifurcation of the planar discontinuous dynamical system
Nonlinear Analysis: Theory, Methods & Applications, 2005Marat Akhmet
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Periodic solutions for a class of planar, singular dynamical systems
1989It 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 - ΓΏ\(=\nabla V(y)\) 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 ...
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On orbital-reversibility for a class of planar dynamical systems
Communications in Nonlinear Science and Numerical Simulation, 2015Estanislao Gamero
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Vortex Dynamics in the Ordering Process of the Three-Dimensional Planar System
Journal of the Physical Society of Japan, 1991Hiroyasu Toyoki
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Planar cell polarity in development and disease
Nature Reviews Molecular Cell Biology, 2017Mitchell T Butler, John B Wallingford
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