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On the appearance and structure of Lorenz attractor
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Afraimovich, V.S.1
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0000119416
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On the structurally unstable attracting limit sets of Lorenz attractor type
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V.S. Afraimovich, V.V. Bykov and L.P. Shil'nikov, On the structurally unstable attracting limit sets of Lorenz attractor type, Tran. Mosc. Soc. 2, 153-215 (1983).
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Afraimovich, V.S.1
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Strange attractors and quasi-attractors
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(Edited by G.I. Barenblatt, G. Iooss and D.D. Joseph), Pitman, New York
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V.S. Afraimovich and L.P. Shil'nikov, Strange attractors and quasi-attractors, In Nonlinear Dynamics and Turbulence, (Edited by G.I. Barenblatt, G. Iooss and D.D. Joseph), pp. 1-28, Pitman, New York, (1983).
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Nonlinear Dynamics and Turbulence
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Afraimovich, V.S.1
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4
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0001852216
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Invariant two-dimensional tori, their breakdown and stochastisity
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Gorky Univ. Press
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V.S. Afraimovich and L.P. Shil'nikov, Invariant two-dimensional tori, their breakdown and stochastisity, In Methods of Qualitative Theory of Differential Equations, Gorky Univ. Press, (1983); translated in Amer. Math. Soc. Trans. 149 (2), 201-212 (1991).
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Methods of Qualitative Theory of Differential Equations
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Afraimovich, V.S.1
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0000697407
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translated in
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V.S. Afraimovich and L.P. Shil'nikov, Invariant two-dimensional tori, their breakdown and stochastisity, In Methods of Qualitative Theory of Differential Equations, Gorky Univ. Press, (1983); translated in Amer. Math. Soc. Trans. 149 (2), 201-212 (1991).
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The theory of bifurcations and turbulence 1
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The double-scroll family
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Intermittency in piecewise-linear circuit
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L.O. Chua and G. Lin, Intermittency in piecewise-linear circuit, IEE Transaction and Systems 38 (5) (1991).
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Chua, L.O.1
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Bifurcations in a piecewice linear system
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A case study for homoclinic chaos in an autonomous electronic circuit
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A contribution to the problem of a rough equilibrium state of saddle-focus type
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L.P. Shil'nikov, A contribution to the problem of a rough equilibrium state of saddle-focus type, Math. USSR Sbornik 10, 92-103 (1970).
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On systems with a saddle-focus homoclinic curve
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I.M. Ovsyannikov and L.P. Shil'nikov, On systems with a saddle-focus homoclinic curve, Math. USSR Sbornik 58, 91-102 (1987).
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0000936965
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On three-dimensional systems close to systems with a structurally unstable homoclinic curve 1
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The abundance of wild hyperbolic sets and non-smooth stable sets for diffeormorphism
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Versal unfolding of equivariant vector fields for the cases of the symmetry of the second and third orders
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E.I. Harozov, Versal unfolding of equivariant vector fields for the cases of the symmetry of the second and third orders, (in Russian), Trans. of I.G. Petrovsky's Seminar 5, 163-192 (1979).
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Bifurcation of systems with homoclinic curve of saddle-focus
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Bifurcation phenomena in the 1:1 resonant horn for the forced van der Pol-Duffing equations
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A.S. Dmitriev, Yu.A. Komlev and D.V. Turaev, Bifurcation phenomena in the 1:1 resonant horn for the forced van der Pol-Duffing equations, Bifurcation and Chaos 2 (1) (1992).
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0013534692
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Confinor and bounded-time patterns in Chua's circuit and the double-scroll family
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R. Lozi and S. Ushiki, Confinor and bounded-time patterns in Chua's circuit and the double-scroll family, International Journal of Bifurcation and Chaos 1 (1), 119-138 (1991).
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R. Lozi and S. Ushiki, The theory of confinors in Chua's curcuit: Accurate analisis of bifurcations and attractors, International Journal of Bifurcation and Chaos 3 (2), 333-361 (1993).
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0039233435
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On existence of a smooth invariant foliation for maps of Lorenz type
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M.V. Shashkov and L.P. Shil'nikov, On existence of a smooth invariant foliation for maps of Lorenz type, (in Russian), Differenzial'nye Uravnenija 30 (4), 586-595 (1994).
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On a Poincaré-Birkgoff problem
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