Features of the Behavior of Lyapunov’s Exponents Depending On Symmetry of Thermodynamic Potential, Described By the Lifshitz's Invariant
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Characteristic Lyapunov’s exponents allow to conduct qualitative analysis of dynamic systems. As is known, the Lyapunov’s exponents of a dynamical system is a value that characterizes the rate of separation of infinitely close trajectories. It plays a decisive role in the discovery of dynamic behavior and the chaotic degree of a strange attractor. Therefore, the purpose of this work is to calculate Lyapunov indices for a incommensurate superstructure. The Lyapunov coefficients were calculated in Python using Skipy, JiTCODE libraries.
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