05.45.−a Nonlinear dynamics and chaos
47.10.−g General theory in fluid dynamics
47.20.Ft Instability of shear flows (e.g., Kelvin-Helmholtz)
47.20.Ky Nonlinearity, bifurcation, and symmetry breaking
47.27.Cn Transition to turbulence
47.32.−y Vortex dynamics; rotating fluids
47.32.Ef Rotating and swirling flows
47.32.cd Vortex stability and breakdown
47.85.Dh Hydrodynamics, hydraulics, hydrostatics
92.10.Lq Turbulence, diffusion, and mixing processes in oceanography
92.60.−e Properties and dynamics of the atmosphere; meteorology
92.60.Ek Convection, turbulence, and diffusion
G.S. Golitsyn “A N Kolmogorov's 1934 paper is the basis for explaining the statistics of natural phenomena of the macrocosm ” Phys. Usp. 67 80–90 (2024)
05.40.−a , 91.30.−f , 92.60.−e (all )
A.N. Pisarchik, A.E. Hramov “Stochastic processes in the brain's neural network and their impact on perception and decision-making ” Phys. Usp. 66 1224–1247 (2023)
05.45.−a , 87.19.L− , 87.85.−d (all )
A.V. Slunyaev, D.E. Pelinovsky, E.N. Pelinovsky “Rogue waves in the sea: observations, physics, and mathematics ” Phys. Usp. 66 148–172 (2023)
05.45.−a , 92.10.Hm (all )
V.B. Efimov “Quantum turbulence in superfluid helium ” Phys. Usp. 66 59–89 (2023)
07.20.Mc , 47.27.Cn , 47.32.C− , 67.25.dg , 67.25.dk (all )
M.V. Kalashnik, M.V. Kurgansky, O.G. Chkhetiani “Baroclinic instability in geophysical fluid dynamics ” Phys. Usp. 65 1039–1070 (2022)
05.45.−a , 47.10.−g , 47.20.Ft , 47.20.Ky , 47.27.Cn , 47.32.−y , 47.32.Ef , 47.32.cd , 47.85.Dh , 92.10.Lq , 92.60.−e , 92.60.hk (all )
D.S. Agafontsev, E.A. Kuznetsov et al “Compressible vortex structures and their role in the onset of hydrodynamic turbulence ” Phys. Usp. 65 189–208 (2022)
47.10.−g , 47.27.−i , 47.32.−y (all )
V.V. Brazhkin “Why does statistical mechanics 'work' in condensed matter? ” Phys. Usp. 64 1049–1057 (2021)
05.20.−y , 05.45.−a , 05.90.+m , 63.20.K− (all )
M.I. Rabinovich, P. Varona “Nonlinear dynamics of creative thinking. Multimodal processes and the interaction of heteroclinic structures ” Phys. Usp. 64 801–814 (2021)
05.45.−a , 87.19.L− , 89.75.−k (all )
A.E. Hramov, N.S. Frolov et al “Functional networks of the brain: from connectivity restoration to dynamic integration ” Phys. Usp. 64 584–616 (2021)
05.45.−a , 05.45.Tp , 05.45.Xt , 64.60.aq , 87.85.dd , 87.85.dm (all )
S.S. Gavrilov “Nonequilibrium transitions, chaos, and chimera states in exciton—polariton systems ” Phys. Usp. 63 123–144 (2020)
03.75.Kk , 05.45.Xt , 05.65.+b , 42.65.Sf , 47.20.Ky , 71.36.+c (all )
V.B. Efimov “Acoustic turbulence of second sound waves in superfluid helium ” Phys. Usp. 61 929–951 (2018)
47.27.Cn , 47.37.+q , 67.25.dg , 67.25.dt (all )
V.I. Shematovich, M.Ya. Marov “Escape of planetary atmospheres: physical processes and numerical models ” Phys. Usp. 61 217–246 (2018)
02.70.−c , 92.60.−e , 96.30.Ea , 96.30.Gc (all )
A.V. Borisov, A.A. Kilin, Yu.L. Karavaev “On the retrograde motion of a rolling disk ” Phys. Usp. 60 931–934 (2017)
02.60.Cb , 05.45.−a , 45.40.−f (all )
O.V. Maslennikov, V.I. Nekorkin “Adaptive dynamical networks ” Phys. Usp. 60 694–704 (2017)
05.45.−a , 05.45.Xt , 87.10.−e (all )
S.V. Dmitriev, E.A. Korznikova et al “Discrete breathers in crystals ” Phys. Usp. 59 446–461 (2016)
05.45.−a , 05.45.Yv , 63.20.−e (all )
V.I. Klyatskin “Stochastic structure formation in random media ” Phys. Usp. 59 67–95 (2016)
05.40.−a , 05.45.−a , 46.65.+g , 47.27.−i (all )
V.F. Zhuravlev “Once more on the dynamics of the rattleback (comment on "Strange attractors in rattleback dynamics" by A.V. Borisov and I.S. Mamaev [Usp. Fiz. Nauk 173 407 (2003); Phys. Usp. 46 393 (2003)] and "Nonlinear dynamics of the rattleback: a nonholonomic model" by A.V. Borisov, A.O. Kazakov, S.P. Kuznetsov [Usp. Fiz. Nauk 184 493 (2014); Phys. Usp. 57 453 (2014)]) ” Phys. Usp. 58 1218–1219 (2015)
05.45.−a , 45.40.−f (all )
A.V. Borisov, I.S. Mamaev “Notes on new friction models and nonholonomic mechanics ” Phys. Usp. 58 1220–1222 (2015)
05.45.−a , 45.40.−f (all )
S.P. Kuznetsov “On the validity of nonholonomic model of the rattleback ” Phys. Usp. 58 1223–1224 (2015)
05.45.−a , 45.40.−f (all )
I.I. Vigdorovich “Does the power formula describe turbulent velocity profiles in tubes? (comment on "Turbulent flows at very large Reynolds numbers: new lessons learned" [Phys. Usp. 57 250 (2014); ” Phys. Usp. 58 196–198 (2015)
47.10.−g , 47.27.−i , 47.27.Ak , 47.27.Gs (all )
G.I. Barenblatt, A.J. Chorin, V.M. Prostokishin “Corrigenda to the paper by G I Barenblatt, A J Chorin, V M Prostokishin "Turbulent flows at very large Reynolds numbers: new lessons learned" (Usp. Fiz. Nauk, March 2014, Vol. 184, No. 3, pp. 265—272) ” Phys. Usp. 57 1248–1248 (2014)
47.10.−g , 47.27.−i , 47.27.Ak , 47.27.Gs (all )
E.P. Zemskov “Turing patterns and Newell—Whitehead—Segel amplitude equation ” Phys. Usp. 57 1035–1037 (2014)
05.45.−a , 47.54.−r , 82.40.Bj , 82.40.Ck (all )
A.V. Borisov, A.O. Kazakov, S.P. Kuznetsov “Nonlinear dynamics of the rattleback: a nonholonomic model ” Phys. Usp. 57 453–460 (2014)
05.45.−a , 45.10.−b , 45.40.−f (all )
G.I. Barenblatt, A.J. Chorin, V.M. Prostokishin “Turbulent flows at very large Reynolds numbers: new lessons learned ” Phys. Usp. 57 250–256 (2014)
47.10.−g , 47.27.−i , 47.27.Ak , 47.27.Gs (all )
A. Ruzmaikin “Climate as a game of chance ” Phys. Usp. 57 280–291 (2014)
02.50.−r , 05.45.−a , 92.05.Df (all )
P.N. Svirkunov, M.V. Kalashnik “Phase patterns of dispersive waves from moving localized sources ” Phys. Usp. 57 80–91 (2014)
47.10.−g , 47.35.−i , 47.35.Bb , 47.35.Pq (all )
V.V. Klinshov, V.I. Nekorkin “Synchronization of delay-coupled oscillator networks ” Phys. Usp. 56 1217–1229 (2013)
05.45.−a , 05.45.Xt , 87.10.−e (all )
V.S. Anishchenko, S.V. Astakhov “Poincaré recurrence theory and its applications to nonlinear physics ” Phys. Usp. 56 955–972 (2013)
05.45.−a
O.V. Rudenko “Nonlinear dynamics of quadratically cubic systems ” Phys. Usp. 56 683–690 (2013)
02.30.Jr , 05.45.−a , 42.65.−k , 43.25.+y (all )
E.N. Rumanov “Critical phenomena far from equilibrium ” Phys. Usp. 56 93–102 (2013)
02.70.−c , 05.45.−a , 64.60.−i (all )
V.I. Klyatskin “Spatial structures can form in stochastic dynamic systems due to near-zero-probability events (comment on “21st century: what is life from the perspective of physics?” (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii) ” Phys. Usp. 55 1152–1154 (2012)
05.45.−a , 05.65.+b , 87.23.Kg (all )
G.R. Ivanitskii “Memory about the past is beneficial for survival and reproduction (reply to comment (Usp. Fiz. Nauk 182 1235 (2012) [Phys. Usp. 55 1152 (2012)]) by V I Klyatskin on “21st century: what is life from the perspective of physics” (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii) ” Phys. Usp. 55 1155–1160 (2012)
05.45.−a , 05.65.+b , 87.23.Kg (all )
A.A. Makarov, A.L. Malinovsky, E.A. Ryabov “Intramolecular vibrational redistribution: from high-resolution spectra to real-time dynamics ” Phys. Usp. 55 977–1007 (2012)
05.45.−a , 05.45.Mt , 33.20.Ea , 33.20.Fb , 33.80.Wz , 42.62.Fi (all )
A.L. Virovlyansky, D.V. Makarov, S.V. Prants “Ray and wave chaos in underwater acoustic waveguides ” Phys. Usp. 55 18–46 (2012)
05.45.−a , 43.30.Bp , 43.30.Cq , 43.30.Dr (all )
V.P. Budaev, S.P. Savin, L.M. Zelenyi “Investigation of intermittency and generalized self-similarity of turbulent boundary layers in laboratory and magnetospheric plasmas: towards a quantitative definition of plasma transport features ” Phys. Usp. 54 875–918 (2011)
05.45.−a , 47.27.−i , 52.35.Ra (all )
V.I. Klyatskin “Integral characteristics: a key to understanding structure formation in stochastic dynamic systems ” Phys. Usp. 54 441–464 (2011)
05.40.−a , 05.45.−a , 46.65.+g , 47.27.−i (all )
S.P. Kuznetsov “Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics ” Phys. Usp. 54 119–144 (2011)
05.45.−a , 45.50.−j , 84.30.−r (all )
A. Loskutov “Fascination of chaos ” Phys. Usp. 53 1257–1280 (2010)
02.50.−r , 05.45.−a , 47.52.+j (all )
M.I. Rabinovich, M.K. Muezzinoglu “Nonlinear dynamics of the brain: emotion and cognition ” Phys. Usp. 53 357–372 (2010)
05.45.−a , 87.18.Sn , 87.19.L− , 87.19.Ij (all )
G.I. Broman, O.V. Rudenko “Submerged Landau jet: exact solutions, their meaning and application ” Phys. Usp. 53 91–98 (2010)
43.25.Nm , 47.10.ad , 47.10.−g , 47.15.Uv , 47.60.Kz (all )
A.A. Koronovskii, O.I. Moskalenko, A.E. Hramov “On the use of chaotic synchronization for secure communication ” Phys. Usp. 52 1213–1238 (2009)
05.45.−a , 05.45.Pq , 05.45.Tp , 05.45.Vx , 05.45.Xt (all )
Yu.V. Gulyaev, Yu.N. Barabanenkov et al “Commemoration of the centenary of the birth of S M Rytov (Scientific session of the Physical Sciences Division of the Russian Academy of Sciences, 26 November 2008) ” Phys. Usp. 52 499–526 (2009)
01.10.Fv , 01.60.+q , 01.65.+g , 05.40.−a , 05.45.−a , 41.20.−q , 42.25.Bs , 42.25.Dd , 42.65.Pc , 42.68.Ay , 42.68.Xy , 46.65.+g , 47.27.eb , 72.15.Rn , 85.50.−n (all )
V.I. Klyatskin “Modern methods for the statistical description of dynamical stochastic systems ” Phys. Usp. 52 514–519 (2009)
05.40.−a , 05.45.−a , 42.25.Dd , 46.65.+g , 47.27.eb (all )
O.G. Onishchenko, O.A. Pokhotelov, N.M. Astaf’eva “Generation of large-scale eddies and zonal winds in planetary atmospheres ” Phys. Usp. 51 577–589 (2008)
47.27.−i , 92.10.hf , 92.60.−e (all )
V.I. Klyatskin “Statistical topography and Lyapunov exponents in stochastic dynamical systems ” Phys. Usp. 51 395–407 (2008)
05.40.−a , 05.45.−a , 42.25.Dd , 46.65.+g , 47.27.eb (all )
V.I. Nekorkin “Nonlinear oscillations and waves in neurodynamics ” Phys. Usp. 51 295–304 (2008)
05.45.−a , 05.45.Xt , 87.10.+e (all )
B.P. Bezruchko, V.I. Ponomarenko et al “Modeling nonlinear oscillatory systems and diagnostics of coupling between them using chaotic time series analysis: applications in neurophysiology ” Phys. Usp. 51 304–310 (2008)
05.45.−a , 87.10.+e , 87.19.La (all )
A. Loskutov “Dynamical chaos: systems of classical mechanics ” Phys. Usp. 50 939–964 (2007)
05.45.−a , 05.45.Ac (all )
A.N. Pavlov, V.S. Anishchenko “Multifractal analysis of complex signals ” Phys. Usp. 50 819–834 (2007)
05.45.−a , 05.45.Pq , 05.45.Tp (all )
M.A. Tsyganov, V.N. Biktashev et al “Waves in systems with cross-diffusion as a new class of nonlinear waves ” Phys. Usp. 50 263–286 (2007)
05.45.−a , 87.18.Hf , 87.23.Cc (all )
F.I. Ataullakhanov, E.S. Lobanova et al “Intricate regimes of propagation of an excitation and self-organization in the blood clotting model ” Phys. Usp. 50 79–94 (2007)
05.45.−a , 82.39.−k , 87.19.Uv (all )
K.V. Koshel, S.V. Prants “Chaotic advection in the ocean ” Phys. Usp. 49 1151–1178 (2006)
05.45.−a , 47.52.+j , 92.10.−c (all )
F.V. Dolzhanskii “On the mechanical prototypes of fundamental hydrodynamic invariants and slow manifolds ” Phys. Usp. 48 1205–1234 (2005)
02.40.−k , 45.40.−f , 92.10.−c , 92.60.−e (all )
L.L. Kichatinov “The differential rotation of stars ” Phys. Usp. 48 449–467 (2005)
47.27.−i , 47.32.−y , 97.10.−q (all )
V.S. Anishchenko, T.E. Vadivasova et al “Statistical properties of dynamical chaos ” Phys. Usp. 48 151–166 (2005)
02.50.−r , 05.45.−a , 47.52.+j (all )
A.P. Gerasev “Nonequilibrium thermodynamics of autowave processes in a catalyst bed ” Phys. Usp. 47 991–1016 (2004)
05.45.−a , 05.70.Ln , 82.40.−g (all )
V.K. Vanag “Waves and patterns in reaction-diffusion systems.
Belousov-Zhabotinsky reaction in water-in-oil microemulsions ” Phys. Usp. 47 923–941 (2004)
05.45.−a , 05.65.+b , 82.40.Bj , 82.40.Ck (all )
S.N. Vladimirov “Does the sign correlation of quasiperiodic oscillations with incommensurable frequencies generate deterministic chaos? ” Phys. Usp. 47 205–208 (2004)
05.45.−a , 05.45.Jn (all )
V.I. Klyatskin “Clustering and diffusion of particles and passive tracer density in random hydrodynamic flows ” Phys. Usp. 46 667–688 (2003)
02.50.−r , 05.40.−a , 05.45.−a (all )
A.V. Borisov, I.S. Mamaev “Strange attractors in rattleback dynamics ” Phys. Usp. 46 393–403 (2003)
05.45.−a , 45.10.−b , 45.40.−f (all )
F.I. Ataullakhanov, V.I. Zarnitsyna et al “A new class of stopping self-sustained waves: a factor determining the spatial dynamics of blood coagulation ” Phys. Usp. 45 619–636 (2002)
05.45.−a , 87.10.+e , 87.19.Uv (all )
L.Kh. Ingel’ “’Negative heat capacity’ in stratified fluids ” Phys. Usp. 45 637–644 (2002)
44.35.+c , 47.27.Fe, 92.60.Ek (all )
A.B. Medvinskii, S.V. Petrovskii et al “Spatio-temporal pattern formation, fractals, and chaos in conceptual
ecological models as applied to coupled plankton-fish dynamics ” Phys. Usp. 45 27–57 (2002)
05.45.−a , 92.10.−c , 92.20.Rb (all )
V.F. Kop’ev, S.A. Chernyshev “Vortex ring oscillations, the development of turbulence in vortex rings and generation of sound ” Phys. Usp. 43 663–690 (2000)
43.30.−k , 47.27.−i , 47.27.Sd , 47.32.−y (all )
A.S. Monin, Yu.A. Shishkov “Climate as a problem of physics ” Phys. Usp. 43 381–406 (2000)
89.60.+x, 92.60.−e , 92.60.Ry , 92.90.+x (all )
F.S. Berezovskaya, G.P. Karev “Bifurcations of travelling waves in population taxis models ” Phys. Usp. 42 917–929 (1999)
05.45.−a , 87.10.+e , 87.23.Cc (all )
S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particles ” Phys. Usp. 42 573–590 (1999)
03.65.−w , 03.65.Bz, 05.40.−a , 05.45.−a (all )
A.F. Gutsol “The Ranque effect ” Phys. Usp. 40 639–658 (1997)
47.32.−y
N.M. Astaf’eva “Wavelet analysis: basic theory and some applications ” Phys. Usp. 39 1085–1108 (1996)
02.30.−f , 02.90.+p , 92.60.−e , 92.60.Ry (all )
R.Kh. Zeytounian “Nonlinear long waves on water and solitons ” Phys. Usp. 38 1333–1381 (1995)
47.10.+g , 47.20.Ky , 92.10.Hm , 43.25.Rq (all )
S.K. Betyaev “Hydrodynamics: problems and paradoxes ” Phys. Usp. 38 287–316 (1995)
42.11.+j, 47.27.−i , 47.32.−y (all )
M.V. Osipenko “Chaotic dynamics and transport in fluids and plasmas edited by I Prigogine ” Phys. Usp. 37 711–712 (1994)
01.30.Mm , 47.52.+j , 47.27.Cn , 52.25.Fi (all )
V.I. Klyatskin “Statistical description of the diffusion of a passive tracer in a random velocity field ” Phys. Usp. 37 501–513 (1994)
47.27.Qb , 92.10.Eq, 92.60.Ek (all )
Yu.L. Klimontovich “Dynamics of ambiguity ” Phys. Usp. 36 (11) 1081–1082 (1993)
01.30.Vv , 05.45.−a (all )
M.I. Rabinovich, M.M. Sushchik “Numerical experiment in hydrodynamics ” Sov. Phys. Usp. 34 (11) 1025–1025 (1991)
01.30.Vv , 47.11.−j , 47.85.Dh (all )
A.G. Bershadskii “Large-scale fractal structure in laboratory turbulence, astrophysics, and the ocean ” Sov. Phys. Usp. 33 (12) 1073–1075 (1990)
47.53.+n , 92.10.Lq , 47.27.−i , 95.30.Lz , 05.45.Df (all )
F.V. Dolzhanskii, V.A. Krymov, D.Yu. Manin “Stability and vortex structures of quasi-two-dimensional shear flows ” Sov. Phys. Usp. 33 (7) 495–520 (1990)
47.32.cd , 47.32.Ef , 47.20.Ft , 47.65.−d , 92.60.−e (all )
V.V. Likhanskii, A.P. Napartovich “Radiation emitted by optically coupled lasers ” Sov. Phys. Usp. 33 (3) 228–252 (1990)
42.60.Jf , 42.60.Lh , 42.60.Fc , 42.79.Ag , 05.45.−a (all )
M.I. Rabinovich, M.M. Sushchik “The regular and chaotic dynamics of structures in fluid flows ” Sov. Phys. Usp. 33 (1) 1–35 (1990)
47.52.+j , 47.27.ed , 47.27.Jv , 47.32.−y (all )
Yu.A. Stepanyants, A.L. Fabrikant “Propagation of waves in hydrodynamic shear flows ” Sov. Phys. Usp. 32 783–805 (1989)
47.35.De , 47.35.Rs , 47.35.Bb , 47.32.−y (all )
P.S. Landa, Ya.B. Duboshinskii “Self-oscillatory systems with high-frequency energy sources ” Sov. Phys. Usp. 32 723–731 (1989)
05.45.−a
A.I. Ryazanov “Dynamics of hierarchical systems ” Sov. Phys. Usp. 31 286–287 (1988)
05.45.−a , 02.50.Ey , 01.30.Vv (all )
A.V. Gaponov-Grekhov, M.I. Rabinovich “Nonlinear dynamics of nonequilibrium media: structures and turbulence ” Sov. Phys. Usp. 30 433–434 (1987)
01.10.Fv , 05.45.−a , 47.27.−i , 47.52.+j (all )
L.A. Ostrovskii, S.A. Rybak, L.Sh. Tsimring “Negative energy waves in hydrodynamics ” Sov. Phys. Usp. 29 1040–1052 (1986)
47.35.Bb , 47.35.Pq , 47.20.Ky (all )
A.S. Monin “Hydrodynamic instability ” Sov. Phys. Usp. 29 843–868 (1986)
47.20.−k , 47.85.Dh (all )
V.V. Alekseev, A.M. Gusev “Free convection in geophysical processes ” Sov. Phys. Usp. 26 906–922 (1983)
92.60.Ek , 94.10.Lf , 92.10.−c , 91.35.Dc (all )
B.S. Rinkevicius “The Doppler method of measuring local velocities using lasers ” Sov. Phys. Usp. 16 712–725 (1974)
47.80.Cb , 47.15.−x , 41.20.Jb , 47.85.Dh , 85.60.Gz , 47.27.−i (all )
A.D. Sytinskii “Relation between Seismic Activity of the Earth and Solar Activity. ” Sov. Phys. Usp. 16 740–741 (1974)
91.30.Px , 96.60.qd , 92.60.−e , 91.10.Nj , 91.10.Kg , 90.00.-x (all )
Yu.S. Georgievskii, Yu.S. Lyubovtseva et al “Georgii Vladimirovich Rozenberg (On his sixtieth birthday) ” Sov. Phys. Usp. 17 466–466 (1974)
01.60.+q , 42.68.Ay , 42.68.Jg , 42.68.Mj , 92.60.−e (all )
A.S. Monin “Turbulence and microstructure in the ocean ” Sov. Phys. Usp. 16 121–131 (1973)
92.10.Fj , 92.10.Lq , 92.05.Hj , 92.10.Ns , 92.10.Hm (all )
A.Kh. Krigyan “Fifth assembly of the special committee of the international geophysical year and modern problems of geophysics ” Sov. Phys. Usp. 2 179–182 (1959)
92.60.−e , 94.20.Vv , 91.25.−r , 94.30.Lr (all )