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Turaev, Dmitry V.

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Author ID: turaev.dmitry-v Recent zbMATH articles by "Turaev, Dmitry V."
Published as: Turaev, D.; Turaev, D. V.; Turaev, Dimitry; Turaev, Dimitry V.; Turaev, Dmitry; Turaev, Dmitry V.
Documents Indexed: 103 Publications since 1985, including 2 Books
Reviewing Activity: 4 Reviews

Publications by Year

Citations contained in zbMATH Open

84 Publications have been cited 1,180 times in 574 Documents Cited by Year
Methods of qualitative theory in nonlinear dynamics. Part I. Zbl 0941.34001
Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O.
145
1998
Methods of qualitative theory in nonlinear dynamics. II. Zbl 1046.34003
Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O.
88
2001
Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits. Zbl 1055.37578
Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V.
47
1996
Normal forms and Lorenz attractors. Zbl 0885.58080
Shil’nikov, A. L.; Shil’nikov, L. P.; Turaev, D. V.
44
1993
Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D.
43
2005
An example of a wild strange attractor. Zbl 0927.37017
Turaev, D. V.; Shil’nikov, L. P.
43
1998
Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps. Zbl 1132.37023
Gonchenko, Sergey; Turaev, Dmitry; Shilnikov, Leonid
36
2007
On models with non-rough Poincaré homoclinic curves. Zbl 0783.58049
Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V.
32
1993
On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I. Zbl 1160.37019
Gonchenko, S. V.; Shilnikov, L. P.; Turaev, D. V.
30
2008
Unbounded energy growth in Hamiltonian systems with a slowly varying parameter. Zbl 1152.37023
Gelfreich, Vassili; Turaev, Dmitry
29
2008
A scaling limit theorem for a class of superdiffusions. Zbl 1014.60080
Engländer, János; Turaev, Dmitry
28
2002
Analytical search for homoclinic bifurcations in the Shimizu-Morioka model. Zbl 1218.34046
Tigan, G.; Turaev, D.
24
2011
Elliptic islands appearing in near-ergodic flows. Zbl 0902.58017
Turaev, Dmitry; Rom-Kedar, Vered
22
1998
On dimension of nonlocal bifurcational problems. Zbl 0879.58058
Turaev, D.
21
1996
On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors. Zbl 1229.37041
Gonchenko, S. V.; Shilnikov, L. P.; Turaev, D. V.
20
2009
Complexity in the bifurcation structure of homoclinic loops to a saddle-focus. Zbl 0905.34042
Gonchenko, S. V.; Turaev, D. V.; Gaspard, P.; Nicolis, G.
20
1997
Simple scenarios of onset of chaos in three-dimensional maps. Zbl 1300.37024
Gonchenko, Alexander; Gonchenko, Sergey; Kazakov, Alexey; Turaev, Dmitry
19
2014
On Newhouse domains of two-dimensional diffeomorphisms which are close to a diffeomorphism with a structurally unstable heteroclinic cycle. Zbl 0931.37006
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
17
1997
On three types of dynamics and the notion of attractor. Zbl 1377.37040
Gonchenko, Sergey V.; Turaev, D. V.
16
2017
Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model. Zbl 1367.34051
Ovsyannikov, I. I.; Turaev, D. V.
15
2017
Pseudohyperbolicity and the problem on periodic perturbations of Lorenz-type attractors. Zbl 1157.37022
Turaev, D. V.; Shil’nikov, L. P.
15
2008
Fermi acceleration in non-autonomous billiards. Zbl 1139.37041
Gelfreich, V.; Turaev, D.
15
2008
Dynamical phenomena in multidimensional systems with a structurally unstable homoclinic Poincaré curve. Zbl 0864.58043
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
15
1993
Examples of Lorenz-like attractors in Hénon-like maps. Zbl 1331.37040
Gonchenko, S. V.; Gonchenko, A. S.; Ovsyannikov, I. I.; Turaev, D. V.
13
2013
Blue-sky catastrophe in singularly perturbed systems. Zbl 1092.37030
Shilnikov, Andrey; Shilnikov, Leonid; Turaev, Dmitry
13
2005
On some mathematical topics in classical synchronization. A tutorial. Zbl 1077.37509
Shilnikov, Andrey; Shilnikov, Leonid; Turaev, Dmitry
13
2004
Big islands in dispersing billiard-like potentials. Zbl 0956.37028
Rom-Kedar, Vered; Turaev, Dmitry
13
1999
Quasiattractors and homoclinic tangencies. Zbl 0889.58056
Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V.
13
1997
On the phenomenon of mixed dynamics in Pikovsky-Topaj system of coupled rotators. Zbl 1376.34042
Gonchenko, A. S.; Gonchenko, S. V.; Kazakov, A. O.; Turaev, D. V.
12
2017
Scientific heritage of L. P. Shilnikov. Zbl 1353.37001
Afraimovich, Valentin S.; Gonchenko, Sergey V.; Lerman, Lev M.; Shilnikov, Andrey L.; Turaev, Dmitry V.
12
2014
Homoclinic tangencies of arbitrary order in Newhouse domains. Zbl 1157.37325
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
12
1999
Maps close to identity and universal maps in the Newhouse domain. Zbl 1347.37038
Turaev, Dmitry
11
2015
Attractors and repellers near generic elliptic points of reversible maps. Zbl 1301.37013
Gonchenko, S. V.; Lamb, J. S. W.; Rios, I.; Turaev, D.
11
2014
Simple bifurcations leading to hyperbolic attractors. Zbl 0889.58057
Shil’nikov, L. P.; Turaev, D. V.
11
1997
Blue sky catastrophes. Zbl 0880.58020
Turaev, D. V.; Shil’nikov, L. P.
11
1995
On models with a structurally unstable homoclinic Poincaré curve. Zbl 0772.58040
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
11
1991
Soft billiards with corners. Zbl 1022.37022
Turaev, D.; Rom-Kedar, V.
10
2003
Polynomial approximations of symplectic dynamics and richness of chaos in non-hyperbolic area-preserving maps. Zbl 1022.37037
Turaev, Dmitry
10
2003
Elliptic periodic orbits near a homoclinic tangency in four-dimensional symplectic maps and Hamiltonian systems with three degrees of freedom. Zbl 0956.37048
Gonchenko, S. V.; Shilnikov, L. P.; Turaev, D. V.
10
1998
Showcase of blue sky catastrophes. Zbl 1300.34100
Shilnikov, Leonid Pavlovich; Shilnikov, Andrey L.; Turaev, Dmitry V.
9
2014
Fermi acceleration and adiabatic invariants for non-autonomous billiards. Zbl 1319.37039
Gelfreich, V.; Rom-Kedar, V.; Turaev, D.
9
2012
Breakdown of symmetry in reversible systems. Zbl 1280.37049
Lerman, Lev M.; Turaev, Dimitry
9
2012
Richness of chaos in the absolute Newhouse domain. Zbl 1262.37016
Turaev, Dmitry
9
2011
Approximating multi-dimensional Hamiltonian flows by billiards. Zbl 1129.37031
Rapoport, A.; Rom-Kedar, V.; Turaev, D.
9
2007
Complexity of homoclinic bifurcations and \(\Omega\)-moduli. Zbl 0874.58058
Gonchenko, S. V.; Sten’kin, O. V.; Turaev, D. V.
9
1996
Bifurcation phenomena in the 1:1 resonant Horn for the forced van der Pol - Duffing equation. Zbl 0878.34032
Dmitriev, A. S.; Komlev, U. A.; Turaev, D. V.
9
1992
On bifurcations of the homoclinic “figure eight” for a saddle with a negative saddle value. Zbl 0638.34037
Turaev, D. V.; Shil’nikov, L. P.
9
1986
An existence theorem of smooth nonlocal center manifolds for systems close to a system with a homoclinic loop. Zbl 0940.37010
Shashkov, M. V.; Turaev, D. V.
8
1999
Normal forms, resonances, and meandering tip motions near relative equilibria of Euclidean group actions. Zbl 0957.37026
Fiedler, Bernold; Turaev, Dmitry
8
1998
Coalescence of reversible homoclinic orbits causes elliptic resonance. Zbl 0876.34057
Fiedler, Bernold; Turaev, Dimitry
8
1996
On the existence of Newhouse domains in a neighborhood of systems with a structurally unstable Poincaré homoclinic curve (the higher-dimensional case). Zbl 0823.58030
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
8
1993
On dynamic properties of diffeomorphisms with homoclinic tangency. Zbl 1076.37052
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
7
2005
Universal dynamics in a neighborhood of a generic elliptic periodic point. Zbl 1203.37100
Gelfreich, V.; Turaev, D.
6
2010
A new simple bifurcation of a periodic orbit of “blue sky catastrophe” type. Zbl 0990.37037
Shilnikov, Leonid P.; Turaev, Dmitry V.
6
2000
On Hamiltonian systems with homoclinic saddle curves. Zbl 0689.58013
Turaev, D. V.; Shil’nikov, L. P.
6
1989
Stability in high dimensional steep repelling potentials. Zbl 1154.37024
Rapoport, A.; Rom-Kedar, V.; Turaev, D.
5
2008
Existence of infinitely many elliptic periodic orbits in four-dimensional symplectic maps with a homoclinic tangency. Zbl 1079.37049
Gonchenko, S. V.; Turaev, D. V.; Shilnikov, L. P.
5
2004
Multi-pulse homoclinic loops in systems with a smooth first integral. Zbl 1002.37025
Turaev, Dmitry
5
2001
On the complex bifurcation set for a system with simple dynamics. Zbl 0879.58057
Shashkov, Mikhail V.; Turaev, Dimitry V.
5
1996
On bifurcations of a homoclimic “figure eight” of a multi-dimensional saddle. Zbl 0679.58032
Turaev, D. V.
5
1988
On Herman’s positive entropy conjecture. Zbl 1443.37019
Berger, Pierre; Turaev, Dmitry
4
2019
Billiards: A singular perturbation limit of smooth Hamiltonian flows. Zbl 1331.37057
Rom-Kedar, V.; Turaev, D.
4
2012
Analytical proof of space-time chaos in Ginzburg-Landau equations. Zbl 1213.35376
Turaev, Dmitry; Zelik, Sergey
4
2010
Super-homoclinic orbits and multi-pulse homoclinic loops in Hamiltonian systems with discrete symmetries. Zbl 1083.37525
Shil’nikov, L. P.; Turaev, D. V.
4
1997
Computer assisted proof of the existence of the Lorenz attractor in the Shimizu-Morioka system. Zbl 1405.34048
Capiński, Maciej J.; Turaev, Dmitry; Zgliczyński, Piotr
3
2018
Equilibration of energy in slow-fast systems. Zbl 1404.70059
Shah, Kushal; Turaev, Dmitry; Gelfreich, Vassili; Rom-Kedar, Vered
3
2017
Arnold diffusion in a priori chaotic symplectic maps. Zbl 1373.37133
Gelfreich, Vassili; Turaev, Dmitry
3
2017
Oscillating mushrooms: adiabatic theory for a non-ergodic system. Zbl 1361.70016
Gelfreich, V.; Rom-Kedar, V.; Turaev, D.
3
2014
On the effect of invisibility of stable periodic orbits at homoclinic bifurcations. Zbl 1244.37036
Gonchenko, S. V.; Ovsyannikov, I. I.; Turaev, D.
3
2012
Asymptotic normal for equilibria with a triplet of zero characteristic exponents in systems with symmetry. Zbl 1083.37520
Pisarevskiĭ, V.; Shil’nikov, A.; Turaev, D.
3
1998
Bifurcations of quasiattractors torus-chaos. Zbl 0625.58008
Turaev, D. V.; Shil’nikov, L. P.
3
1986
Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics. Zbl 1384.37028
Asaoka, Masayuki; Shinohara, Katsutoshi; Turaev, Dmitry
2
2017
Existence of heterodimensional cycles near shilnikov loops in systems with a \(\mathbb{Z}_2\) symmetry. Zbl 1360.37129
Li, Dongchen; Turaev, Dmitry V.
2
2017
On homoclinic orbits to center manifolds of elliptic-hyperbolic equilibria in Hamiltonian systems. Zbl 1364.37134
Giles, W.; Lamb, J. S. W.; Turaev, D.
2
2016
Fast Fermi acceleration and entropy growth. Zbl 1327.35342
Pereira, T.; Turaev, D.
2
2015
Editorial: Leonid Pavlovich Shilnikov. Zbl 1300.00035
Shilnikov, A. L. (ed.); Turaev, D. V. (ed.)
2
2014
Bifurcations of two-dimensional dynamical systems close to a system with two separatrix loops. Zbl 0609.34050
Turaev, D. V.
2
1985
Hyperbolic sets near homoclinic loops to a saddle for systems with a first integral. Zbl 1343.37046
Turaev, Dmitry
1
2014
Foam-like structure of the Universe. Zbl 1246.83260
Kirillov, A. A.; Turaev, Dmitry V.
1
2007
Homoclinic tangencies of arbitrarily high order in conservative two-dimensional maps. Zbl 1327.37014
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
1
2006
An example of a resonant homoclinic loop of infinite cyclicity. Zbl 1092.37031
Turaev, Dmitry
1
2005
Modification of Newton’s law of gravity at very large distances. Zbl 0994.83040
Kirillov, A. A.; Turaev, D.
1
2002
A proof of Shilnikov’s theorem for \(C^1\)-smooth dynamical systems. Zbl 0990.37016
Shashkov, Mikhail V.; Turaev, Dmitry V.
1
2000
Bifurcations of systems with structurally unstable homoclinic orbits and moduli of \(\Omega\)-equivalence. Zbl 0889.58055
Gonchenko, S. V.; Shil’nikov, L. P.; Sten’kin, O. V.; Turaev, D. V.
1
1997
On Herman’s positive entropy conjecture. Zbl 1443.37019
Berger, Pierre; Turaev, Dmitry
4
2019
Computer assisted proof of the existence of the Lorenz attractor in the Shimizu-Morioka system. Zbl 1405.34048
Capiński, Maciej J.; Turaev, Dmitry; Zgliczyński, Piotr
3
2018
On three types of dynamics and the notion of attractor. Zbl 1377.37040
Gonchenko, Sergey V.; Turaev, D. V.
16
2017
Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model. Zbl 1367.34051
Ovsyannikov, I. I.; Turaev, D. V.
15
2017
On the phenomenon of mixed dynamics in Pikovsky-Topaj system of coupled rotators. Zbl 1376.34042
Gonchenko, A. S.; Gonchenko, S. V.; Kazakov, A. O.; Turaev, D. V.
12
2017
Equilibration of energy in slow-fast systems. Zbl 1404.70059
Shah, Kushal; Turaev, Dmitry; Gelfreich, Vassili; Rom-Kedar, Vered
3
2017
Arnold diffusion in a priori chaotic symplectic maps. Zbl 1373.37133
Gelfreich, Vassili; Turaev, Dmitry
3
2017
Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics. Zbl 1384.37028
Asaoka, Masayuki; Shinohara, Katsutoshi; Turaev, Dmitry
2
2017
Existence of heterodimensional cycles near shilnikov loops in systems with a \(\mathbb{Z}_2\) symmetry. Zbl 1360.37129
Li, Dongchen; Turaev, Dmitry V.
2
2017
On homoclinic orbits to center manifolds of elliptic-hyperbolic equilibria in Hamiltonian systems. Zbl 1364.37134
Giles, W.; Lamb, J. S. W.; Turaev, D.
2
2016
Maps close to identity and universal maps in the Newhouse domain. Zbl 1347.37038
Turaev, Dmitry
11
2015
Fast Fermi acceleration and entropy growth. Zbl 1327.35342
Pereira, T.; Turaev, D.
2
2015
Simple scenarios of onset of chaos in three-dimensional maps. Zbl 1300.37024
Gonchenko, Alexander; Gonchenko, Sergey; Kazakov, Alexey; Turaev, Dmitry
19
2014
Scientific heritage of L. P. Shilnikov. Zbl 1353.37001
Afraimovich, Valentin S.; Gonchenko, Sergey V.; Lerman, Lev M.; Shilnikov, Andrey L.; Turaev, Dmitry V.
12
2014
Attractors and repellers near generic elliptic points of reversible maps. Zbl 1301.37013
Gonchenko, S. V.; Lamb, J. S. W.; Rios, I.; Turaev, D.
11
2014
Showcase of blue sky catastrophes. Zbl 1300.34100
Shilnikov, Leonid Pavlovich; Shilnikov, Andrey L.; Turaev, Dmitry V.
9
2014
Oscillating mushrooms: adiabatic theory for a non-ergodic system. Zbl 1361.70016
Gelfreich, V.; Rom-Kedar, V.; Turaev, D.
3
2014
Editorial: Leonid Pavlovich Shilnikov. Zbl 1300.00035
Shilnikov, A. L. (ed.); Turaev, D. V. (ed.)
2
2014
Hyperbolic sets near homoclinic loops to a saddle for systems with a first integral. Zbl 1343.37046
Turaev, Dmitry
1
2014
Examples of Lorenz-like attractors in Hénon-like maps. Zbl 1331.37040
Gonchenko, S. V.; Gonchenko, A. S.; Ovsyannikov, I. I.; Turaev, D. V.
13
2013
Fermi acceleration and adiabatic invariants for non-autonomous billiards. Zbl 1319.37039
Gelfreich, V.; Rom-Kedar, V.; Turaev, D.
9
2012
Breakdown of symmetry in reversible systems. Zbl 1280.37049
Lerman, Lev M.; Turaev, Dimitry
9
2012
Billiards: A singular perturbation limit of smooth Hamiltonian flows. Zbl 1331.37057
Rom-Kedar, V.; Turaev, D.
4
2012
On the effect of invisibility of stable periodic orbits at homoclinic bifurcations. Zbl 1244.37036
Gonchenko, S. V.; Ovsyannikov, I. I.; Turaev, D.
3
2012
Analytical search for homoclinic bifurcations in the Shimizu-Morioka model. Zbl 1218.34046
Tigan, G.; Turaev, D.
24
2011
Richness of chaos in the absolute Newhouse domain. Zbl 1262.37016
Turaev, Dmitry
9
2011
Universal dynamics in a neighborhood of a generic elliptic periodic point. Zbl 1203.37100
Gelfreich, V.; Turaev, D.
6
2010
Analytical proof of space-time chaos in Ginzburg-Landau equations. Zbl 1213.35376
Turaev, Dmitry; Zelik, Sergey
4
2010
On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors. Zbl 1229.37041
Gonchenko, S. V.; Shilnikov, L. P.; Turaev, D. V.
20
2009
On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I. Zbl 1160.37019
Gonchenko, S. V.; Shilnikov, L. P.; Turaev, D. V.
30
2008
Unbounded energy growth in Hamiltonian systems with a slowly varying parameter. Zbl 1152.37023
Gelfreich, Vassili; Turaev, Dmitry
29
2008
Pseudohyperbolicity and the problem on periodic perturbations of Lorenz-type attractors. Zbl 1157.37022
Turaev, D. V.; Shil’nikov, L. P.
15
2008
Fermi acceleration in non-autonomous billiards. Zbl 1139.37041
Gelfreich, V.; Turaev, D.
15
2008
Stability in high dimensional steep repelling potentials. Zbl 1154.37024
Rapoport, A.; Rom-Kedar, V.; Turaev, D.
5
2008
Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps. Zbl 1132.37023
Gonchenko, Sergey; Turaev, Dmitry; Shilnikov, Leonid
36
2007
Approximating multi-dimensional Hamiltonian flows by billiards. Zbl 1129.37031
Rapoport, A.; Rom-Kedar, V.; Turaev, D.
9
2007
Foam-like structure of the Universe. Zbl 1246.83260
Kirillov, A. A.; Turaev, Dmitry V.
1
2007
Homoclinic tangencies of arbitrarily high order in conservative two-dimensional maps. Zbl 1327.37014
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
1
2006
Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D.
43
2005
Blue-sky catastrophe in singularly perturbed systems. Zbl 1092.37030
Shilnikov, Andrey; Shilnikov, Leonid; Turaev, Dmitry
13
2005
On dynamic properties of diffeomorphisms with homoclinic tangency. Zbl 1076.37052
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
7
2005
An example of a resonant homoclinic loop of infinite cyclicity. Zbl 1092.37031
Turaev, Dmitry
1
2005
On some mathematical topics in classical synchronization. A tutorial. Zbl 1077.37509
Shilnikov, Andrey; Shilnikov, Leonid; Turaev, Dmitry
13
2004
Existence of infinitely many elliptic periodic orbits in four-dimensional symplectic maps with a homoclinic tangency. Zbl 1079.37049
Gonchenko, S. V.; Turaev, D. V.; Shilnikov, L. P.
5
2004
Soft billiards with corners. Zbl 1022.37022
Turaev, D.; Rom-Kedar, V.
10
2003
Polynomial approximations of symplectic dynamics and richness of chaos in non-hyperbolic area-preserving maps. Zbl 1022.37037
Turaev, Dmitry
10
2003
A scaling limit theorem for a class of superdiffusions. Zbl 1014.60080
Engländer, János; Turaev, Dmitry
28
2002
Modification of Newton’s law of gravity at very large distances. Zbl 0994.83040
Kirillov, A. A.; Turaev, D.
1
2002
Methods of qualitative theory in nonlinear dynamics. II. Zbl 1046.34003
Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O.
88
2001
Multi-pulse homoclinic loops in systems with a smooth first integral. Zbl 1002.37025
Turaev, Dmitry
5
2001
A new simple bifurcation of a periodic orbit of “blue sky catastrophe” type. Zbl 0990.37037
Shilnikov, Leonid P.; Turaev, Dmitry V.
6
2000
A proof of Shilnikov’s theorem for \(C^1\)-smooth dynamical systems. Zbl 0990.37016
Shashkov, Mikhail V.; Turaev, Dmitry V.
1
2000
Big islands in dispersing billiard-like potentials. Zbl 0956.37028
Rom-Kedar, Vered; Turaev, Dmitry
13
1999
Homoclinic tangencies of arbitrary order in Newhouse domains. Zbl 1157.37325
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
12
1999
An existence theorem of smooth nonlocal center manifolds for systems close to a system with a homoclinic loop. Zbl 0940.37010
Shashkov, M. V.; Turaev, D. V.
8
1999
Methods of qualitative theory in nonlinear dynamics. Part I. Zbl 0941.34001
Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O.
145
1998
An example of a wild strange attractor. Zbl 0927.37017
Turaev, D. V.; Shil’nikov, L. P.
43
1998
Elliptic islands appearing in near-ergodic flows. Zbl 0902.58017
Turaev, Dmitry; Rom-Kedar, Vered
22
1998
Elliptic periodic orbits near a homoclinic tangency in four-dimensional symplectic maps and Hamiltonian systems with three degrees of freedom. Zbl 0956.37048
Gonchenko, S. V.; Shilnikov, L. P.; Turaev, D. V.
10
1998
Normal forms, resonances, and meandering tip motions near relative equilibria of Euclidean group actions. Zbl 0957.37026
Fiedler, Bernold; Turaev, Dmitry
8
1998
Asymptotic normal for equilibria with a triplet of zero characteristic exponents in systems with symmetry. Zbl 1083.37520
Pisarevskiĭ, V.; Shil’nikov, A.; Turaev, D.
3
1998
Complexity in the bifurcation structure of homoclinic loops to a saddle-focus. Zbl 0905.34042
Gonchenko, S. V.; Turaev, D. V.; Gaspard, P.; Nicolis, G.
20
1997
On Newhouse domains of two-dimensional diffeomorphisms which are close to a diffeomorphism with a structurally unstable heteroclinic cycle. Zbl 0931.37006
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
17
1997
Quasiattractors and homoclinic tangencies. Zbl 0889.58056
Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V.
13
1997
Simple bifurcations leading to hyperbolic attractors. Zbl 0889.58057
Shil’nikov, L. P.; Turaev, D. V.
11
1997
Super-homoclinic orbits and multi-pulse homoclinic loops in Hamiltonian systems with discrete symmetries. Zbl 1083.37525
Shil’nikov, L. P.; Turaev, D. V.
4
1997
Bifurcations of systems with structurally unstable homoclinic orbits and moduli of \(\Omega\)-equivalence. Zbl 0889.58055
Gonchenko, S. V.; Shil’nikov, L. P.; Sten’kin, O. V.; Turaev, D. V.
1
1997
Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits. Zbl 1055.37578
Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V.
47
1996
On dimension of nonlocal bifurcational problems. Zbl 0879.58058
Turaev, D.
21
1996
Complexity of homoclinic bifurcations and \(\Omega\)-moduli. Zbl 0874.58058
Gonchenko, S. V.; Sten’kin, O. V.; Turaev, D. V.
9
1996
Coalescence of reversible homoclinic orbits causes elliptic resonance. Zbl 0876.34057
Fiedler, Bernold; Turaev, Dimitry
8
1996
On the complex bifurcation set for a system with simple dynamics. Zbl 0879.58057
Shashkov, Mikhail V.; Turaev, Dimitry V.
5
1996
Blue sky catastrophes. Zbl 0880.58020
Turaev, D. V.; Shil’nikov, L. P.
11
1995
Normal forms and Lorenz attractors. Zbl 0885.58080
Shil’nikov, A. L.; Shil’nikov, L. P.; Turaev, D. V.
44
1993
On models with non-rough Poincaré homoclinic curves. Zbl 0783.58049
Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V.
32
1993
Dynamical phenomena in multidimensional systems with a structurally unstable homoclinic Poincaré curve. Zbl 0864.58043
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
15
1993
On the existence of Newhouse domains in a neighborhood of systems with a structurally unstable Poincaré homoclinic curve (the higher-dimensional case). Zbl 0823.58030
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
8
1993
Bifurcation phenomena in the 1:1 resonant Horn for the forced van der Pol - Duffing equation. Zbl 0878.34032
Dmitriev, A. S.; Komlev, U. A.; Turaev, D. V.
9
1992
On models with a structurally unstable homoclinic Poincaré curve. Zbl 0772.58040
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P.
11
1991
On Hamiltonian systems with homoclinic saddle curves. Zbl 0689.58013
Turaev, D. V.; Shil’nikov, L. P.
6
1989
On bifurcations of a homoclimic “figure eight” of a multi-dimensional saddle. Zbl 0679.58032
Turaev, D. V.
5
1988
On bifurcations of the homoclinic “figure eight” for a saddle with a negative saddle value. Zbl 0638.34037
Turaev, D. V.; Shil’nikov, L. P.
9
1986
Bifurcations of quasiattractors torus-chaos. Zbl 0625.58008
Turaev, D. V.; Shil’nikov, L. P.
3
1986
Bifurcations of two-dimensional dynamical systems close to a system with two separatrix loops. Zbl 0609.34050
Turaev, D. V.
2
1985
all top 5

Cited by 737 Authors

43 Turaev, Dmitry V.
36 Gonchenko, Sergey V.
19 Shilnikov, Andrey L.
18 Shilnikov, Leonid Pavlovich
15 Kazakov, Alexey O.
11 Rodrigues, Alexandre A. P.
10 Gonchenko, Marina S.
10 Rom-Kedar, Vered
9 Kuznetsov, Sergey P.
9 Leonov, Gennadiĭ Alekseevich
9 Lerman, Lev
9 Nikitina, Nelly Vladimirovna
8 Belykh, Vladimir N.
8 Borisov, Alekseĭ Vladimirovich
8 Gonchenko, Alexander S.
8 Ovsyannikov, Ivan I.
7 Barrio, Roberto
7 Engländer, János
7 Kaloshin, Vadim Yu.
7 Kolesov, Andreĭ Yur’evich
7 Krauskopf, Bernd
7 Mamaev, Ivan Sergeevich
7 Nekorkin, Vladimir I.
7 Rodríguez-Luis, Alejandro J.
7 Rozov, Nikolaĭ Khristovich
7 Sataev, Igor’ Rustamovich
7 Wang, Haijun
6 Algaba, Antonio
6 Belykh, Igor V.
6 Knobloch, Jürgen
6 Labouriau, Isabel S.
6 Li, Xianyi
6 Morales, Carlos Arnoldo
6 Osinga, Hinke Maria
6 Pham, Viet-Thanh
6 Ren, Yanxia
6 Simpson, David John Warwick
6 Wang, Cong
5 Bolotin, Sergeĭ Vladimirovich
5 Bykov, V. V.
5 Delshams, Amadeu
5 Gelfreich, Vassili
5 Glyzin, Sergeĭ D.
5 Grines, Vyacheslav Zigmundovich
5 Lamb, Jeroen S. W.
5 Liu, Xingbo
5 Medvedev, Vladislav Sergeevich
5 Melbourne, Ian
5 Mira, Christian
5 Pikovsky, Arkady S.
5 Stankevich, Nataliya Vladimirovna
5 Vasil’eva, Ekaterina Vladimirovna
5 Volos, Christos K.
5 Yang, Qigui
4 Afraimovich, Valentin S.
4 Araújo, Vítor
4 Barabash, Nikita V.
4 Champneys, Alan R.
4 Chen, Zhen-Qing
4 Gorodetski, Anton
4 Homburg, Ale Jan
4 Kruglov, Vyacheslav Pavlovich
4 Leonel, Edson Denner
4 Martynyuk, Anatoliĭ Andriĭovych
4 Merino, Manuel
4 Nikolov, Svetoslav G.
4 Pérez-Molina, Manuel
4 Pérez Polo, Manuel F.
4 Pochinka, Olga Vital’evna
4 Teixeira, Marco Antonio
4 Wang, Qiudong
3 Aguirre, Pablo
3 Asaoka, Masayuki
3 Bálint, Péter
3 Barrientos, Pablo G.
3 Berger, Pierre
3 Bizyaev, Ivan Alekseevich
3 Bocharov, Sergey
3 Caldas, Iberê L.
3 Čelikovský, Sergej
3 Chen, Guanrong
3 De Feo, Oscar
3 de la Llave, Rafael
3 de Simoi, Jacopo
3 Dettmann, Carl P.
3 Emelianova, Anastasiia A.
3 Gidea, Marian
3 Gonchenko, V. S.
3 Gurevich, Elena Ya.
3 Hittmeyer, Stefanie
3 Ibáñez, Santiago
3 Jafari, Sajad
3 Kapitaniak, Tomasz
3 Kazantsev, Victor B.
3 Kuznetsov, Nikolay Vladimirovich
3 Kyprianou, Andreas E.
3 Li, Dongchen
3 López, Juan Manuel
3 Loskutov, Aleksandr Yur’evich
3 Malkin, Mikhail Iosifovich
...and 637 more Authors
all top 5

Cited in 130 Serials

65 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
51 Chaos
41 Physica D
37 Regular and Chaotic Dynamics
23 Journal of Differential Equations
16 Nonlinear Dynamics
14 Nonlinearity
14 Communications in Nonlinear Science and Numerical Simulation
13 Proceedings of the Steklov Institute of Mathematics
12 Communications in Mathematical Physics
12 Chaos, Solitons and Fractals
11 SIAM Journal on Applied Dynamical Systems
10 Journal of Dynamics and Differential Equations
9 International Applied Mechanics
8 Journal of Mathematical Sciences (New York)
8 Discrete and Continuous Dynamical Systems
8 Dynamical Systems
7 Computers & Mathematics with Applications
7 Ergodic Theory and Dynamical Systems
7 Vestnik St. Petersburg University. Mathematics
7 Doklady Mathematics
6 Advances in Mathematics
6 Differential Equations
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
5 Journal of Nonlinear Science
4 Physics Letters. A
4 The Annals of Probability
4 Transactions of the American Mathematical Society
4 Acta Applicandae Mathematicae
4 Celestial Mechanics and Dynamical Astronomy
3 Journal of the Franklin Institute
3 Journal of Mathematical Analysis and Applications
3 Journal of Mathematical Physics
3 Journal of Statistical Physics
3 Mathematical Methods in the Applied Sciences
3 Russian Mathematical Surveys
3 Systems & Control Letters
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Stochastic Processes and their Applications
3 Russian Journal of Mathematical Physics
3 Mathematical Problems in Engineering
3 Advances in Difference Equations
3 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Fluid Mechanics
2 Journal of Mathematical Biology
2 Moscow University Mechanics Bulletin
2 Bulletin of Mathematical Biology
2 Theoretical and Computational Fluid Dynamics
2 Journal of Theoretical and Applied Mechanics (Sofia)
2 Applied Mathematics and Computation
2 Mathematische Annalen
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the American Mathematical Society
2 Chinese Annals of Mathematics. Series B
2 Automation and Remote Control
2 Journal of Computational Neuroscience
2 Journal of Inequalities and Applications
2 Discrete Dynamics in Nature and Society
2 Journal of the European Mathematical Society (JEMS)
2 Qualitative Theory of Dynamical Systems
2 Discrete and Continuous Dynamical Systems. Series B
2 Mathematical Modelling of Natural Phenomena
2 Journal of Computational Dynamics
2 Nelineĭnaya Dinamika
1 Communications on Pure and Applied Mathematics
1 Journal d’Analyse Mathématique
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physica A
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Commentarii Mathematici Helvetici
1 Information Sciences
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Applied Probability
1 Journal of Functional Analysis
1 Kybernetika
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 Theoretical Population Biology
1 Transactions of the Moscow Mathematical Society
1 Statistics & Probability Letters
1 Journal of Theoretical Probability
1 Dynamics and Stability of Systems
1 Forum Mathematicum
1 International Journal of Mathematics
1 European Journal of Applied Mathematics
1 The Annals of Applied Probability
1 Differential Geometry and its Applications
1 Geometric and Functional Analysis. GAFA
1 Computational Mathematics and Mathematical Physics
1 SIAM Review
1 Indagationes Mathematicae. New Series
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Applied Mathematics. Series B (English Edition)
...and 30 more Serials
all top 5

Cited in 39 Fields

408 Dynamical systems and ergodic theory (37-XX)
197 Ordinary differential equations (34-XX)
79 Mechanics of particles and systems (70-XX)
44 Biology and other natural sciences (92-XX)
33 Partial differential equations (35-XX)
32 Probability theory and stochastic processes (60-XX)
24 Systems theory; control (93-XX)
17 Fluid mechanics (76-XX)
16 Numerical analysis (65-XX)
14 Statistical mechanics, structure of matter (82-XX)
10 Differential geometry (53-XX)
10 Computer science (68-XX)
9 Difference and functional equations (39-XX)
8 Information and communication theory, circuits (94-XX)
7 Manifolds and cell complexes (57-XX)
5 Optics, electromagnetic theory (78-XX)
4 Mechanics of deformable solids (74-XX)
3 Combinatorics (05-XX)
3 Operator theory (47-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Relativity and gravitational theory (83-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 Measure and integration (28-XX)
2 General topology (54-XX)
2 Statistics (62-XX)
1 General and overarching topics; collections (00-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Quantum theory (81-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Mathematics education (97-XX)

Citations by Year