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51

On Global Bifurcations of Three-dimensional Diffeomorphisms Leading to Lorenz-like Attractors

Gonchenko, S.V., Ovsyannikov, I.I., Lerman, L., Turaev, D., Vougalter, V., Zaks, M.

Journal:

Mathematical Modelling of Natural Phenomena

Year:

2013

Language:

english

File:

PDF, 297 KB

english, 2013

52

On dynamics and bifurcations of area-preserving maps with homoclinic tangencies

Delshams, Amadeu, Gonchenko, Marina, Gonchenko, Sergey

Journal:

Year:

2015

Language:

english

File:

PDF, 3.23 MB

english, 2015

53

Lorenz-like attractors in a nonholonomic model of a rattleback

Gonchenko, A S, Gonchenko, S V

Journal:

Year:

2015

Language:

english

File:

PDF, 1.05 MB

english, 2015

54

Moduli of $ \Omega$-conjugacy of two-dimensional diffeomorphisms with a structurally unstable heteroclinic contour

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

1996

Language:

english

File:

PDF, 1.10 MB

english, 1996

55

COMPLEXITY OF HOMOCLINIC BIFURCATIONS AND Ω-MODULI

GONCHENKO, S. V., STEN’KIN, O. V., TURAEV, D. V.

Journal:

International Journal of Bifurcation and Chaos

Year:

1996

Language:

english

File:

PDF, 1.62 MB

english, 1996

56

Exponentially Small Splitting of Separatrices and Transversality Associated to Whiskered Tori with Quadratic Frequency Ratio

Delshams, Amadeu, Gonchenko, Marina, Gutiérrez, Pere

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2016

Language:

english

File:

PDF, 1.44 MB

english, 2016

57

Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps

Gonchenko, A.S., Gonchenko, S.V.

Journal:

Physica D: Nonlinear Phenomena

Year:

2016

Language:

english

File:

PDF, 3.04 MB

english, 2016

58

On the phenomenon of mixed dynamics in Pikovsky–Topaj system of coupled rotators

Gonchenko, A.S., Gonchenko, S.V., Kazakov, A.O., Turaev, D.V.

Journal:

Physica D: Nonlinear Phenomena

Year:

2017

Language:

english

File:

PDF, 2.85 MB

english, 2017

59

Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits

Gonchenko, S. V., Shil’nikov, L. P., Turaev, D. V.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

1996

Language:

english

File:

PDF, 677 KB

english, 1996

60

On three types of dynamics and the notion of attractor

Gonchenko, S. V., Turaev, D. V.

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2017

Language:

english

File:

PDF, 2.84 MB

english, 2017

61

Criteria on existence of horseshoes near homoclinic tangencies of arbitrary orders

Gonchenko, Sergey, Li, Ming-Chia, Malkin, Mikhail

Journal:

Dynamical Systems / An International Journal

Year:

2017

Language:

english

File:

PDF, 1.04 MB

english, 2017

62

Corrigendum: On dynamics and bifurcations of area-preserving maps with homoclinic tangencies (2015 Nonlinearity 28 3027)

Delshams, Amadeu, Gonchenko, Marina, Gonchenko, Sergey

Journal:

Year:

2017

Language:

english

File:

PDF, 188 KB

english, 2017

63

On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps

Gonchenko, M., Gonchenko, S. V., Ovsyannikov, I., Vieiro, A.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2018

Language:

english

File:

PDF, 8.95 MB

english, 2018

64

Retraction: Lorenz-like attractors in a nonholonomic model of a rattleback (2015 Nonlinearity 28 3403)

Gonchenko, A S, Gonchenko, S V

Journal:

Year:

2017

Language:

english

File:

PDF, 179 KB

english, 2017

65

Bifurcations of Cubic Homoclinic Tangencies in Two-dimensional Symplectic Maps

Gonchenko, M., Gonchenko, S., Ovsyannikov, I., Ibragimov, R., Vougalter, V.

Journal:

Mathematical Modelling of Natural Phenomena

Year:

2017

Language:

english

File:

PDF, 1.22 MB

english, 2017

66

Elements of Contemporary Theory of Dynamical Chaos: A Tutorial. Part I. Pseudohyperbolic Attractors

Gonchenko, A. S., Gonchenko, S. V., Kazakov, A. O., Kozlov, A. D.

Journal:

International Journal of Bifurcation and Chaos

Year:

2018

Language:

english

File:

PDF, 2.16 MB

english, 2018

67

The Dynamics of Digits: Calculating Pi with Galperinâs Billiards

Aretxabaleta, Xabier M., Gonchenko, Marina, Harshman, Nathan L., Jackson, Steven Glenn, Olshanii, Maxim, Astrakharchik, Grigory E.

Journal:

Year:

2020

File:

PDF, 6.32 MB

2020

68

On mixed dynamics of two-dimensional reversible diffeomorphisms with symmetric non-transversal heteroclinic cycles

Gonchenko, S. V., Gonchenko, M. S., Sinitsky, I. O.

Journal:

Izvestiya Mathematics

Year:

2020

File:

PDF, 911 KB

2020

69

Three Types of Attractors and Mixed Dynamics of Nonholonomic Models of Rigid Body Motion

Gonchenko, S. V., Gonchenko, A. S., Kazakov, A. O.

Journal:

Proceedings of the Steklov Institute of Mathematics

Year:

2020

File:

PDF, 1.58 MB

2020

70

Exponentially Small Splitting of Separatrices Associated to 3D Whiskered Tori with Cubic Frequencies

Delshams, Amadeu, Gonchenko, Marina, GutiÃ©rrez, Pere

Journal:

Communications in Mathematical Physics

Year:

2020

File:

PDF, 1.29 MB

2020

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