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Ducha? M, ?iler M, J\'e1kl P, Brzobohat\'fd O, Rakhubovsky A, Filip R, Zem\'e1nek P. Nanomechanical state amplifier based on optical inverted pendulum. Communications Physics, 8, 276 (2025).\par \par Flaj?manov\'e1 J, ?iler M, Jedli?ka P, Hrub\'fd F, Brzobohat\'fd O, Filip R, Zem\'e1nek P. Using the transient trajectories of an optically levitated nanoparticle to characterize a stochastic Duffing oscillator. Scientific Reports, 10, 14436 (2020).\par \par ?iler M, Ornigotti L, Brzobohat\'fd O, J\'e1kl P, Ryabov A, Holubec V, Zem\'e1nek P, Filip R. Diffusing up the Hill: Dynamics and Equipartition in Highly Unstable Systems. Phys. Rev. Lett., 121, 23601 (2018).\par \par ?iler M, J\'e1kl P, Brzobohat\'fd O, Ryabov A, Filip R, Zem\'e1nek P. Thermally induced micro-motion by inflection in optical potential. Sci. Rep., 7, 1697 (2017).\par \par Filip R, Zem\'e1nek P. Noise-to-signal transition of a Brownian particle in the cubic potential: I. general theory. Journal of Optics, 18, 065401 (2016).\par \par Zem\'e1nek P, ?iler M, Brzobohat\'fd O, J\'e1kl P, Filip R. Noise-to-signal transition of a Brownian particle in the cubic potential: II. optical trapping geometry. Journal of Optics, 18, 065402 (2016).\par \par Ryabov A, Zem\'e1nek P, Filip R. Thermally-induced passage and current of particles in highly unstable optical potential. Phys. Rev.E, 16, 042108 (2016).\par \par }