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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


Albert C.J. Luo (editor)

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

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On Some Chaotic Aspects and Center Manifold Reduction of ACT Nonlinear System

Journal of Applied Nonlinear Dynamics 6(3) (2017) 355--367 | DOI:10.5890/JAND.2017.09.004

A. Roy Chowdhury; A. Ray; P. Saha

High Energy Physics Division, Department of Physics, Jadavpur University, Kolkata - 700032, India

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Chaotic properties of a new nonlinear dynamical system, namely ACT system, are analyzed through a detailed analysis of its bifurcation diagram, attractor formation, bi-parametric Lyapunov plots. Due to the presence of many parameters in the system it shows a very rich structure in all respects. Details of stability analysis and its relation to the corresponding center manifold reduction are also studied.


One of the authors (P. Saha) is thankful to SERB(DST, Govt. of India) for a research project (SR/FTP/PS-103/2012). ARC is thankful to UGC (Govt. of India) for a UGC-BSR faculty fellowship which made this work possible.


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