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

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

Journal of Applied Nonlinear Dynamics

Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)

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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Abstract

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.

Acknowledgments

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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