Comments on “Asymptotically stable equilibrium points in new chaotic systems”

  1. A. Algaba
  2. F. Fernández-Sánchez
  3. M. Merino
  4. A.J. Rodríguez-Luis
Revista:
Nova scientia

ISSN: 2007-0705

Ano de publicación: 2017

Volume: 9

Número: 19

Páxinas: 902-905

Tipo: Artigo

DOI: 10.21640/NS.V9I19.1114 DIALNET GOOGLE SCHOLAR lock_openDialnet editor

Outras publicacións en: Nova scientia

Resumo

Abstract In the commented paper ten nonlinear chaotic systems are presented. Authors state that these systems do not exhibit Shilnikov chaos. Unfortunately, this assertion is not correctly proved because they use an erroneous theorem from the literature.

Referencias bibliográficas

  • Algaba, A., Fernández-Sánchez, F., Merino, M., Rodríguez-Luis, A.J.. (2013). Comments on “Non-existence of Shilnikov chaos in continuous-time systems”. Applied Mathematics and Mechanics. 34. 1175
  • Algaba, A., Fernández-Sánchez, F., Merino, M., Rodríguez-Luis, A.J.. (2013). Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system. Chaos. 23.
  • Algaba, A., Fernández-Sánchez, F., Merino, M., Rodríguez-Luis, A.J.. (2013). The Lü system is a particular case of the Lorenz system. Physics Letters. 2771
  • Algaba, A., Fernández-Sánchez, F., Merino, M., Rodríguez-Luis, A.J.. (2014). Centers on center manifolds in the Lorenz, Chen and Lü systems. Communications in Nonlinear Science and Numerical Simulation. 19. 772
  • Algaba, A., Merino, M., Rodríguez-Luis, A.J.. (2015). Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems. Nonlinear Dynamics. 79. 885-902
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  • Elhadj, Z., Sprott, J.C.. (2012). Non-existence of Shilnikov chaos in continuous-time systems. Applied Mathematics and Mechanics. 33. 371