Rotating periodic solutions for second‐order dynamical systems with singularities of repulsive type |
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Authors: | Xiaojun Chang Yong Li |
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Institution: | School of Mathematics and Statistics and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun, Jilin, China |
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Abstract: | In this paper, we study the following second‐order dynamical system: where c ?0 is a constant, and . When g admits a singularity at zero of repulsive type without the restriction of strong force condition, we apply the coincidence degree theory to prove that the system admits nonplanar collisionless rotating periodic solutions taking the form u (t + T ) = Q u (t ), with T > 0 and Q an orthogonal matrix under the assumption of Landesman–Lazer type. Copyright © 2016 John Wiley & Sons, Ltd. |
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Keywords: | rotating periodic solutions second‐order dynamical systems repulsive force weak singularity coincidence degree theory |
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