Publications
144 results found
Turaev D, Zelik S, 2010, ANALYTICAL PROOF OF SPACE-TIME CHAOS IN GINZBURG-LANDAU EQUATIONS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Vol: 28, Pages: 1713-1751, ISSN: 1078-0947
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- Citations: 9
Tlidi M, Vladimirov AG, Turaev D, et al., 2010, Spontaneous motion of localized structures and localized patterns induced by delayed feedback, EUROPEAN PHYSICAL JOURNAL D, Vol: 59, Pages: 59-65, ISSN: 1434-6060
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- Citations: 12
Rom-Kedar V, Turaev D, 2010, The symmetric parabolic resonance, NONLINEARITY, Vol: 23, Pages: 1325-1351, ISSN: 0951-7715
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- Citations: 5
Gelfreich V, Turaev D, 2010, Universal dynamics in a neighborhood of a generic elliptic periodic point, REGULAR & CHAOTIC DYNAMICS, Vol: 15, Pages: 159-164, ISSN: 1560-3547
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- Citations: 12
Shah K, Turaev D, Rom-Kedar V, 2010, Exponential energy growth in a Fermi accelerator, PHYSICAL REVIEW E, Vol: 81, ISSN: 1539-3755
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- Citations: 33
Turaev D, Vladimirov AG, Zelik S, 2009, Strong enhancement of interaction of optical pulses induced by oscillatory instability
Tlidi M, Vladimirov AG, Pieroux D, et al., 2009, Spontaneous Motion of Cavity Solitons Induced by a Delayed Feedback, PHYSICAL REVIEW LETTERS, Vol: 103, ISSN: 0031-9007
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- Citations: 83
Gonchenko SV, Shilnikov LP, Turaev DV, 2009, On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors, REGULAR & CHAOTIC DYNAMICS, Vol: 14, Pages: 137-147, ISSN: 1560-3547
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- Citations: 30
Turaev D, Vladimirov AG, Zelik S, 2009, Strong enhancement of interaction of optical pulses induced by oscillatory instability
Gelfreich V, Turaev D, 2008, Unbounded energy growth in Hamiltonian systems with a slowly varying parameter, COMMUNICATIONS IN MATHEMATICAL PHYSICS, Vol: 283, Pages: 769-794, ISSN: 0010-3616
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- Citations: 60
Turaev D, Radziunas M, Vladimirov AG, 2008, Chaotic soliton walk in periodically modulated media, PHYSICAL REVIEW E, Vol: 77, ISSN: 2470-0045
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- Citations: 19
Gelfreich V, Turaev D, 2008, Fermi acceleration in non-autonomous billiards, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 41, ISSN: 1751-8113
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- Citations: 53
Gonchenko SV, Shilnikov LP, Turaev DV, 2008, On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I, NONLINEARITY, Vol: 21, Pages: 923-972, ISSN: 0951-7715
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- Citations: 49
Rapoport A, Rom-Kedar V, Turaev D, 2008, Stability in high dimensional steep repelling potentials, COMMUNICATIONS IN MATHEMATICAL PHYSICS, Vol: 279, Pages: 497-534, ISSN: 0010-3616
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- Citations: 5
Turaev DV, Shil'nikov LP, 2008, Pseudohyperbolicity and the problem on periodic perturbations of Lorenz-type attractors, DOKLADY MATHEMATICS, Vol: 77, Pages: 17-21, ISSN: 1064-5624
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- Citations: 39
Turaev DV, Shil'nikov LP, 2008, Pseudohyperbolicity and the problem on periodic perturbations of Lorenz-type attractors, Doklady Mathematics, Vol: 77, Pages: 17-21, ISSN: 1064-5624
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- Citations: 44
Kirillov AA, Turaev D, 2007, Foam-like structure of the Universe, PHYSICS LETTERS B, Vol: 656, Pages: 1-8, ISSN: 0370-2693
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- Citations: 7
Turaev DV, Shil'nikov LP, 2007, An example of a wild strange attractor, SBORNIK MATHEMATICS, Vol: 189, Pages: 291-314, ISSN: 1064-5616
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- Citations: 83
TURAEV DV, 2007, BIFURCATIONS OF TWO-DIMENSIONAL DYNAMIC-SYSTEMS CLOSE TO A SYSTEM WITH 2 SEPARATRIX LOOPS, RUSSIAN MATHEMATICAL SURVEYS, Vol: 40, Pages: 243-244, ISSN: 0036-0279
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- Citations: 2
TURAEV DV, 2007, ON BIFURCATIONS OF A HOMOCLINIC FIGURE 8 OF A MULTI-DIMENSIONAL SADDLE, RUSSIAN MATHEMATICAL SURVEYS, Vol: 43, Pages: 264-265, ISSN: 0036-0279
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- Citations: 8
Kirillov AA, Turaev D, 2007, Foam-like structure of the Universe, Physics Letters B, Vol: 656, Pages: 1-8, ISSN: 0370-2693
Rapoport A, Rom-Kedar V, Turaev D, 2007, Approximating multi-dimensional hamiltonian flows by billiards, COMMUNICATIONS IN MATHEMATICAL PHYSICS, Vol: 272, Pages: 567-600, ISSN: 0010-3616
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- Citations: 20
Turaev D, Vladimirov AG, Zelik S, 2007, Chaotic bound state of localized structures in the complex Ginzburg-Landau equation, PHYSICAL REVIEW E, Vol: 75, ISSN: 1539-3755
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- Citations: 32
Gonchenko S, Turaev D, Shilnikov L, 2007, Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps, NONLINEARITY, Vol: 20, Pages: 241-275, ISSN: 0951-7715
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- Citations: 49
Shilnikov A, Turaev D, 2007, Blue-sky catastrophe, Scholarpedia, Vol: 2, Pages: 1889-1889
Rapoport A, Rom-Kedar V, Turaev D, 2006, Supplement to the article "Approximating multi-dimensional Hamiltonian flows by billiards": proof of C0 and Cr - closeness Theorems
This supplement to the article "Approximating multi-dimensional Hamiltonianflows by billiards" contains the proofs of C$^{0}$ and C$^{r}$ - closenesstheorems stated in the article.
Kirillov AA, Turaev D, 2006, The universal rotation curve of spiral galaxies, Monthly Notices of the Royal Astronomical Society, Vol: 371, Pages: L31-L35, ISSN: 1365-2966
Kirillov AA, Turaev D, 2006, The universal rotation curve of spiral galaxies, MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, Vol: 371, Pages: L31-L35, ISSN: 0035-8711
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- Citations: 13
Gonchenko SV, Turaev DV, Shil'nikov LP, 2006, Homoclinic tangencies of arbitrarily high order in conservative two-dimensional maps, DOKLADY MATHEMATICS, Vol: 73, Pages: 210-213, ISSN: 1064-5624
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- Citations: 1
Gonchenko SV, Schneider KR, Turaev DV, 2006, Quasiperiodic regimes in multisection semiconductor lasers, Regular and Chaotic Dynamics, Vol: 11, Pages: 213-224, ISSN: 1560-3547
We consider a mode approximation model for the longitudinal dynamics of a multisection semiconductor laser which represents a slow-fast system of ordinary differential equations for the electromagnetic field and the carrier densities. Under the condition that the number of active sections q coincides with the number of critical eigenvalues we introduce a normal form which admits to establish the existence of invariant tori. The case q = 2 is investigated in more detail where we also derive conditions for the stability of the quasiperiodic regime.
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