Using a q-deformed derivative, the authors define q-Lyapunov exponents and show that coordinate contraction decreases them for chaotic orbits while dilatation increases them, across three standard dynamical systems.
The angular momentum Lz around z is a conservative quantity, and we consider Lz = 0
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Lyapunov stability under $q$-dilatation and $q$-contraction of coordinates
Using a q-deformed derivative, the authors define q-Lyapunov exponents and show that coordinate contraction decreases them for chaotic orbits while dilatation increases them, across three standard dynamical systems.