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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Traveling Waves and Space-Time Chaos in the Kawahara Equation

Journal of Applied Nonlinear Dynamics 14(2) (2025) 247--252 | DOI:10.5890/JAND.2025.06.001

Nikolai A. Magnitskii

Federal Research Center ``Computer Science and Control'' of the Russian Academy of Sciences, Russia

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Abstract

The work carried out an analytical and numerical analysis of the transition to space-time chaos in the nonlinear Kawahara equation through cascades of bifurcations of traveling waves in accordance with the universal bifurcation scenario of Feigenbaum-Sharkovsky-Magnitskii. It has been proven that the bifurcation parameter in this case is the propagation velocity of traveling waves along the spatial axis, which is clearly not included in the original equation.

References

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