On the Stability of the Zero Solution of a Second-Order Differential Equation under a Periodic Perturbation of the Center
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Published:2018-01
Issue:1
Volume:51
Page:31-35
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ISSN:1063-4541
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Container-title:Vestnik St. Petersburg University, Mathematics
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language:en
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Short-container-title:Vestnik St.Petersb. Univ.Math.
Subject
General Mathematics
Reference4 articles.
1. A. M. Lyapunov, “A study of one of the special cases of the motion stability problem,” in Collected Works (Akad. Nauk SSSR, Moscow, 1956), Vol. 2, pp. 272–331 [in Russian].
2. Yu. N. Bibikov, “Stability and bifurcation for periodic perturbations of the equilibrium of an oscillator with infinite or infinitesimal oscillation frequency,” Math. Notes 65, 269–279 (1999).
3. Yu. N. Bibikov and A. G. Savelyeva, “Periodic perturbations of a nonlinear oscillator,” Differ. Equations 52, 405–412 (2016).
4. A. A. Dorodenkov, “Stability and bifurcation of the birth of invariant tori for an equilibrium state of an essentially nonlinear second-order differential equation,” Vestn. S.-Petersburg Univ.: Math. 42, 262–268 (2009).