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Anomalous relaxation oscillations due to dynamical traps
Physica A: Statistical Mechanics and its Applications. 1998. Vol. 255. No. 3-4. P. 406–414.
Lubashevsky I., Gafiychuk V., Demchukb A.
We consider relaxation oscillation governed by the coupled equations with a dynamical trap. We investigate the relaxation oscillations in the system and it is shown that their limit cycle exhibits anomalous properties. It is shown that small fluctuations affect the system behavior and its motion near the line x=0 can give rise to the strong chaotic behavior of the system. Lyapunov exponents are calculated for the given system and fractal dimensions are determined for the chaotic attractors of the system.
Keywords: dynamical trap
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Abstract
A new emergence mechanism related to the human fuzzy rationality is considered. It assumes that individuals (operators) governing the dynamics of a certain system try to follow an optimal strategy in controlling its motion but fail to do this perfectly because similar strategies are indistinguishable for them. The main attention is focused on the systems ...
Added: November 6, 2021