Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Discrete Lorenz attractors of new types in three-dimensional maps with axial symmetry

S.V. Gonchenko and A.S. Gonchenko
Partial Differential Equations in Applied Mathematics 11 100904 (2024)
https://doi.org/10.1016/j.padiff.2024.100904

Numerical Study of Discrete Lorenz-Like Attractors

Alexey Kazakov, Ainoa Murillo, Arturo Vieiro and Kirill Zaichikov
Regular and Chaotic Dynamics 29 (1) 78 (2024)
https://doi.org/10.1134/S1560354724010064

On discrete Lorenz-like attractors in three-dimensional maps with axial symmetry

Sergey Gonchenko and Aleksandr Gonchenko
Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (12) (2023)
https://doi.org/10.1063/5.0172243

On Shilnikov attractors of three-dimensional flows and maps

Yu. V. Bakhanova, S. V. Gonchenko, A. S. Gonchenko, A. O. Kazakov and E. A. Samylina
Journal of Difference Equations and Applications 29 (9-12) 1184 (2023)
https://doi.org/10.1080/10236198.2022.2063051

Leonid Shilnikov and mathematical theory of dynamical chaos

Sergey Gonchenko, Alexey Kazakov, Dmitry Turaev and Andrey L. Shilnikov
Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (1) (2022)
https://doi.org/10.1063/5.0080836

Conjoined Lorenz twins—a new pseudohyperbolic attractor in three-dimensional maps and flows

Sergey Gonchenko, Efrosiniia Karatetskaia, Alexey Kazakov and Vyacheslav Kruglov
Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (12) (2022)
https://doi.org/10.1063/5.0123426

On the Birth of Discrete Lorenz Attractors Under Bifurcations of 3D Maps with Nontransversal Heteroclinic Cycles

Ivan I. Ovsyannikov
Regular and Chaotic Dynamics 27 (2) 217 (2022)
https://doi.org/10.1134/S156035472202006X

On scenarios of the onset of homoclinic attractors in three-dimensional non-orientable maps

A. S. Gonchenko, M. S. Gonchenko, A. D. Kozlov and E. A. Samylina
Chaos: An Interdisciplinary Journal of Nonlinear Science 31 (4) (2021)
https://doi.org/10.1063/5.0039870

On Discrete Homoclinic Attractors of Three-Dimensional Diffeomorphisms

A. S. Gonchenko and S. V. Gonchenko
Lobachevskii Journal of Mathematics 42 (14) 3352 (2021)
https://doi.org/10.1134/S1995080222020068

Doubling of invariant curves and chaos in three-dimensional diffeomorphisms

A. S. Gonchenko, S. V. Gonchenko and D. Turaev
Chaos: An Interdisciplinary Journal of Nonlinear Science 31 (11) (2021)
https://doi.org/10.1063/5.0068692

On discrete Lorenz-like attractors

Sergey Gonchenko, Alexander Gonchenko, Alexey Kazakov and Evgeniya Samylina
Chaos: An Interdisciplinary Journal of Nonlinear Science 31 (2) (2021)
https://doi.org/10.1063/5.0037621

Numerical Bifurcation Analysis of Homoclinic Orbits Embedded in One-Dimensional Manifolds of Maps

Niels Neirynck, Willy Govaerts, Yuri A. Kuznetsov and Hil G. E. Meijer
ACM Transactions on Mathematical Software 44 (3) 1 (2018)
https://doi.org/10.1145/3134443

On the Chaotic Dynamics Associated with the Center Manifold Equations of Double-Diffusive Convection Near a Codimension-Four Bifurcation Point at Moderate Thermal Rayleigh Number

Justin Eilertsen and Jerry Magnan
International Journal of Bifurcation and Chaos 28 (08) 1850094 (2018)
https://doi.org/10.1142/S0218127418500943

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

A. S. Gonchenko, S. V. Gonchenko, A. O. Kazakov and A. D. Kozlov
International Journal of Bifurcation and Chaos 28 (11) 1830036 (2018)
https://doi.org/10.1142/S0218127418300367

Computer assisted proof of the existence of the Lorenz attractor in the Shimizu–Morioka system

Maciej J Capiński, Dmitry Turaev and Piotr Zgliczyński
Nonlinearity 31 (12) 5410 (2018)
https://doi.org/10.1088/1361-6544/aae032

Asymptotically exact codimension-four dynamics and bifurcations in two-dimensional thermosolutal convection at high thermal Rayleigh number: Chaos from a quasi-periodic homoclinic explosion and quasi-periodic intermittency

Justin S. Eilertsen and Jerry F. Magnan
Physica D: Nonlinear Phenomena 382-383 1 (2018)
https://doi.org/10.1016/j.physd.2018.06.004

Homoclinic tangencies to resonant saddles and discrete Lorenz attractors

Sergey Gonchenko and Ivan Ovsyannikov
Discrete & Continuous Dynamical Systems - S 10 (2) 273 (2017)
https://doi.org/10.3934/dcdss.2017013

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

A.S. Gonchenko and S.V. Gonchenko
Physica D: Nonlinear Phenomena 337 43 (2016)
https://doi.org/10.1016/j.physd.2016.07.006

Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points

Sergey V. Gonchenko, Ivan I. Ovsyannikov and Joan C. Tatjer
Regular and Chaotic Dynamics 19 (4) 495 (2014)
https://doi.org/10.1134/S1560354714040054