Geodesic
Rolling regime in the Higgs model with friction
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 131 (2013) no. 2, pp. 127-130

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The Higgs model with friction is considered. The hyperbolic analog of the Krylov-Bogoliubov averaging method is used to obtain an approximate solution. The obtained solution is compared to a numerical solution of the considered equation.
Keywords: rolling regime, the Higs model with friction, hyperbolic analog of the Krylov-Bogoliubov averaging method. 
E. V. Piskovskiy. Rolling regime in the Higgs model with friction. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 131 (2013) no. 2, pp. 127-130. http://geodesic.mathdoc.fr/item/VSGTU_2013_131_2_a14/
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[1] V. A. Rubakov, Classical gauge fields, URSS, Moscow, 335 pp. | MR

[2] V. Mukhanov, Physical foundations of cosmology, Cambridge Univ. Press, Cambridge, 2005, xix+421 pp. | MR | Zbl

[3] D. S. Gorbunov, V. A. Rubakov, Introduction to the Theory of the Early Universe. Hot Big Bang Theory, World Scientific, Singapore, 2011, 504 pp.

[4] I. Ya. Aref'eva, I. V. Volovich, “Cosmological daemon”, JHEP, 2011:08 (2011), 102, arXiv: [hep-th] 1103.0273 | DOI | Zbl

[5] I. Ya. Aref'eva, N. V. Bulatov, R. V. Gorbachev, FRW cosmology with non-positively defined Higgs potentials, E-print, 2011, 40 pp., arXiv: [hep-th] 1112.5951

[6] I. Ya. Aref'eva, I. V. Volovich, “Asymptotic expansion of solutions in a rolling problem”, Proc. Steklov Inst. Math., 277 (2012), 1–15 | DOI | MR | Zbl

[7] I. Ya. Aref'eva, I. V. Volovich, E. V. Piskovskiy, “Rolling in the Higgs model and elliptic functions”, Theoret. and Math. Phys., 172:1 (2012), 1001–1016, arXiv: [hep-th] 1202.4395 | DOI | DOI | MR | MR | Zbl

[8] A. M. Zhuravskii, Handbook of Elliptic Functions, AN SSSR, Moscow, Leningrad, 1941, 235 pp.

[9] N. M. Krylov, N. N. Bogolyubov, Introduction to non-linear mechanics, AN USSR, Kiev, 1937, 353 pp.

[10] N. N. Bogolyubov, Ju. A. Mitropol'skiy, Asymptotic methods in the theory of nonlinear oscillations, Nauka, Moscow, 1974, 503 pp. | MR