Alexander A. Nepomnyashchy
Northwestern University
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Publication
Featured researches published by Alexander A. Nepomnyashchy.
Siam Journal on Applied Dynamical Systems | 2008
Vladimir A. Volpert; Alexander A. Nepomnyashchy; L. G. Stanton; Alexander A. Golovin
Stable periodic solutions of a system of two nonlocal coupled complex Ginzburg–Landau (CGL) equations describing the dynamics of a subcritical Hopf bifurcation in a spatially extended system are found analytically in the limit of large dispersion coefficients. The domains in the parameter space where these solutions exist and are stable are determined. It is shown that the existence and stability depend on the sign of the coupling parameter and on the ratio of the dispersion coefficients. Numerical simulations of the system of nonlocal coupled CGL equations confirm the analytical results and exhibit other bounded dynamic regimes, such as standing waves and spatio-temporal chaos.
Physical Review E | 2006
Alexander A. Nepomnyashchy; A. A. Golovin; A. Tikhomirova; Vladimir A. Volpert
Physica D: Nonlinear Phenomena | 2005
A. Podolny; Michael A. Zaks; B.Y. Rubinstein; A. A. Golovin; Alexander A. Nepomnyashchy
Archive | 2006
Alexander A. Golovin; Alexander A. Nepomnyashchy
Physica D: Nonlinear Phenomena | 2004
Alexander A. Nepomnyashchy; A. A. Golovin; V. Gubareva; V. Panfilov
Physical Review E | 2007
Boris Y. Rubinstein; Alexander A. Nepomnyashchy; A. A. Golovin
Archive | 2000
A. A. Golovin; Stephen H. Davis; Alexander A. Nepomnyashchy; Michael A. Zaks
Archive | 2017
Patrick Pöschke; Igor M. Sokolov; Michael A. Zaks; Alexander A. Nepomnyashchy
Mathematical Modelling of Natural Phenomena | 2015
Alexander A. Nepomnyashchy; Vladimir A. Volpert
Archive | 2006
Alexander A. Golovin; Alexander A. Nepomnyashchy
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