DOI: https://doi.org/10.30970/jps.03.37
THE CHANGE OF THE FRACTAL DIMENSION OF THE STOCHASTIC SYSTEM WITH COLORED MULTIPLICATIVE NOISE
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Journal of Physical Studies 3(1), 37–41 (1999)
DOI: https://doi.org/10.30970/jps.03.37 THE CHANGE OF THE FRACTAL DIMENSION OF THE STOCHASTIC SYSTEM WITH COLORED MULTIPLICATIVE NOISE |
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D. O. Kharchenko
Sumy State University,
2 Rimskiy-Korsakov Str., Sumy, UA-244007, Ukraine
For the system with colored multiplicative noise the nonlinearity of the synergetic potential like $ϕ^{2+m}$ model in Langevin equation was shown to be capable of providing the expanse of the stochastic system phase space. The concrete system of the population dynamics with the noise correlation time $τ_c→ınfty$ is examined. The fractal dimension of that kind of a system is defined as $D=m$, in contrast to the system with a white noise were $D=0$.