@article{
 title = {Energetics of single-well undamped stochastic oscillators},
 type = {article},
 year = {2019},
 volume = {99},
 id = {3468d41c-f9d2-35fa-9365-d87f630da615},
 created = {2020-10-30T10:12:15.212Z},
 file_attached = {false},
 profile_id = {f5390430-7317-381a-8c56-e25a878d78ef},
 last_modified = {2020-10-30T10:12:15.212Z},
 read = {false},
 starred = {false},
 authored = {true},
 confirmed = {false},
 hidden = {false},
 private_publication = {false},
 abstract = {© 2019 American Physical Society. This paper discusses analytical and numerical results for nonharmonic, undamped, single-well, stochastic oscillators driven by additive noises. It focuses on average kinetic, potential, and total energies together with the corresponding distributions under random drivings, involving Gaussian white, Ornstein-Uhlenbeck, and Markovian dichotomous noises. It demonstrates that insensitivity of the average total energy to the single-well potential type, V(x) x2n, under Gaussian white noise does not extend to other noise types. Nevertheless, in the long-time limit (t→), the average energies grow as power law with exponents dependent on the steepness of the potential n. Another special limit corresponds to n→, i.e., to the infinite rectangular potential well, when the average total energy grows as a power law with the same exponent for all considered noise types.},
 bibtype = {article},
 author = {Mandrysz, M. and Dybiec, B.},
 doi = {10.1103/PhysRevE.99.012125},
 journal = {Physical Review E},
 number = {1}
}

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