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Spontaneous Stabilization and Large-Scale Oscillations of an Active Medium with Negative Dissipation

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Abstract

The paper analyzes a numerical model of an “active medium” with linear elasticity and a negative initial dissipation constant dynamically renormalized under deformation. The analysis shows that such a system, being seemingly unstable over a wide range of geometries and origins of deformation, can spontaneously reach stable dynamic modes in which its time- and space-alternating dissipation forms complex quasiperiodic patterns and its total volume (length, area) oscillates on a large scale. The results presented in the paper are of interest in academic terms and in terms of mechanical and biological application.

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    A. E. Filippov & V. L. Popov

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Filippov, A.E., Popov, V.L. Spontaneous Stabilization and Large-Scale Oscillations of an Active Medium with Negative Dissipation. Phys Mesomech 26, 608–620 (2023). https://doi.org/10.1134/S1029959923060024

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