Nonlinear Dynamics

, Volume 88, Issue 1, pp 791–805 | Cite as

Unusual dynamics and hidden attractors of the Rabinovich–Fabrikant system

  • Marius-F. DancaEmail author
  • Nikolay Kuznetsov
  • Guanrong Chen
Original Paper


This paper presents some numerical evidence of unusual dynamics and hidden chaotic attractors of the Rabinovich–Fabrikant system, with some insightful descriptions and discussions. From a generalized Hamiltonian energy perspective, the attractors could be analyzed in more details.


Rabinovich–Fabrikant system Hidden chaotic attractor Self-excited attractor Hamiltonian energy 



We thank Michal Fec̆kan for his help in Hamiltonian energy analysis. NK is supported by the Russian Science Foundation 14-21-00041, GC by the Hong Kong Research Grants Council under the GRF Grant CityU 11208515.


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceAvram Iancu University of Cluj-NapocaCluj-NapocaRomania
  2. 2.Romanian Institute of Science and TechnologyCluj-NapocaRomania
  3. 3.Department of Applied CyberneticsSaint-Petersburg State UniversitySaint-PetersburgRussia
  4. 4.Department of Mathematical Information TechnologyUniversity of JyväskyläJyväskyläFinland
  5. 5.Department of Electronic EngineeringCity University of Hong KongHong KongChina

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