Geodesic
Examples of differential systems with contrasting combinations of radial stability and instability
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2025), pp. 36-43

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Using specific examples, it is proved that the presence of radial stability, asymptotic stability or complete instability (of any type: Lyapunov, Perron or upper-limit) properties of a non-one-dimensional autonomous nonlinear differential system, along each ray starting from zero, generally speaking, does not imply the presence of stability, asymptotic stability or, accordingly, complete instability of the same type. 
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     author = {A.A. Bondarev},
     title = {Examples of differential systems with contrasting combinations of radial stability and instability},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
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A.A. Bondarev. Examples of differential systems with contrasting combinations of radial stability and instability. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2025), pp. 36-43. http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a5/