skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: RG flows and bifurcations

Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:
Resource Type:
Journal Article: Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 919; Journal Issue: C; Related Information: CHORUS Timestamp: 2017-06-11 12:16:29; Journal ID: ISSN 0550-3213
Country of Publication:

Citation Formats

Gukov, Sergei. RG flows and bifurcations. Netherlands: N. p., 2017. Web. doi:10.1016/j.nuclphysb.2017.03.025.
Gukov, Sergei. RG flows and bifurcations. Netherlands. doi:10.1016/j.nuclphysb.2017.03.025.
Gukov, Sergei. 2017. "RG flows and bifurcations". Netherlands. doi:10.1016/j.nuclphysb.2017.03.025.
title = {RG flows and bifurcations},
author = {Gukov, Sergei},
abstractNote = {},
doi = {10.1016/j.nuclphysb.2017.03.025},
journal = {Nuclear Physics. B},
number = C,
volume = 919,
place = {Netherlands},
year = 2017,
month = 6

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.nuclphysb.2017.03.025

Citation Metrics:
Cited by: 4works
Citation information provided by
Web of Science

Save / Share:
  • This paper presents the most salient points of investigations made using the methods of bifurcation theory to perform a nonlinear mathematical analysis of multidimensional nonstationary combustion regimes for a general model describing heat conduction, diffusion, and chemical transformation processes. By using the theory of bifurcation all the following regimes can be described by a single approach: one-dimensional free oscillations, spin regimes, different complex source regimes, limiting combustion regimes. The basic results, by way of the solution of given equations, are presented.
  • We report the observation of subharmonic bifurcations and irregular pulsing behavior in the output of directly modulated diode lasers. The bifurcation sequence differs from the predicted scenarios most noticeably in the presence of large intrinsic fluctuations which impede any stable period-two oscillations for non-self-pulsing lasers and period-four oscillations for self-pulsing lasers. The nondeterministic noise makes it difficult to observe high-period bifurcation and chaotic behavior in semiconductor lasers by direct current modulation.
  • We study a forced symmetric oscillator containing a saturable inductor with magnetic hysteresis, approximated by a noninvertible map of the plane. The system displays a Hopf bifurcation to quasiperiodicity, entrainment horns, and chaos. Behavior near points of resonance (weak and strong) is found to correspond well with Arnold's theory. Within an entrainment horn, we observe symmetry breaking, period doubling, and complementary band merging. The symmetry behavior is explained by use of the concept of half-cycle map.
  • We study spatially localized two-dimensional solutions and their interactions for coupled two-dimensional (2D) equations applicable near a weakly inverted bifurcation for isotropic systems with broken rotational symmetry. Even though the linear operator is substantially different from that for the equations for anisotropic media studied previously, stable localized 2D solutions nevertheless exist. In contrast to the 2D localized solutions for anisotropic media, these solutions have a more complex shape and their interactions show a number of interesting features.
  • A theoretical model is developed for the prediction of the peak to average particle deposition flux in the human bronchial airways. The model involves the determination of the peak flux by a round-nose 2-dimensional bifurcation channel and the average deposition flux by a curved-tube model. The ''hot-spot'' effect for all generations in the human respiratory system is estimated. Hot spots are usually associated with the sites of bronchoconstriction or even chronic bronchitis and lung cancer. Recent studies indicate that lung cancer in smokers may be caused by the deposition of radioactive particles produced by the burning of tobacco leaves. Highmore » local concentrations of Po-210 have been measured in epithelium from bronchial bifurcations of smokes. This Po-210 is the radioactive daughter of Pb-210 which is produced from a long chain of radioactive decay starting from uranium in the fertilizer-enriched soil. It is found that the peak deposition flux is higher than the average deposition flux by a factor ranging between 5 and 30, depending on the generation number. The importance of this peak to average deposition flux ratio on consideration of environmental safety studies is discussed.« less