New nature of the noise of thermally stimulated electron emission from rods under cyclic torsion

Direct measurement theory, Ito-Stratonovich theory, and weakly dissipative Kolmogorov-Arnold-Moser theory

“…It only remains to emphasize that the "fric tion" coefficient at in a phenomenological deriva tion of the van der Pol equation is chosen in the sym metric form f(x) = 1 -x 2 . The case considered in (2) was not completely studied until the advent of Bogdanov-Takens bifurcation in the 1970s.…”

“…In [24], it was proposed that the discretization of model (2) using the semiexplicit Euler scheme should be considered…”

“…Due to these causes, it is reasonable to keep in mind the electrodynamic interpretation of model (2). Here it is pertinent to refer to corresponding extensive literature devoted to studying the van der Pol equation (van der Pol nonlinear oscillator), which has been studied since the second half of the 19th century [9,17,37].…”

“…This is a problem statement rather unconventional for classical physics of the 18th and 19th centuries, which is far from its development or final results. More likely, to date we have rather prominent examples highlighting the necessity for developing this specific approach [1][2][3][4][5].…”

“…One relates to the direct measurement theory in quantum mechan ics; the other is the simplest example of the weakly dis sipative KAM theory, which has been studied in suffi cient detail to date [1][2][3][4][5].…”