A classical stability criterion for Hill's equation is extended to more general families of periodic two-dimensional linear systems. The results are motivated by the study of mechanical vibrations with friction and periodic prey-predator systems.
Citation: Rafael Ortega. Variations on Lyapunov's stability criterion and periodic prey-predator systems[J]. Electronic Research Archive, 2021, 29(6): 3995-4008. doi: 10.3934/era.2021069
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A classical stability criterion for Hill's equation is extended to more general families of periodic two-dimensional linear systems. The results are motivated by the study of mechanical vibrations with friction and periodic prey-predator systems.
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Rafael Ortega. Variations on Lyapunov's stability criterion and periodic prey-predator systems[J]. Electronic Research Archive, 2021, 29(6): 3995-4008. doi: 10.3934/era.2021069
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