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

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Authors

  • A. Roy Chowdhury High Energy Physics Division, Department of Physics, Jadavpur University, Kolkata - 700032, India Author
  • A. Ray High Energy Physics Division, Department of Physics, Jadavpur University, Kolkata - 700032, India Author
  • P. Saha High Energy Physics Division, Department of Physics, Jadavpur University, Kolkata - 700032, India Author

DOI:

https://doi.org/10.5890/JAND.2017.09.004

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.

References

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[2] Arneodo, A., Coullet P., and Tresser, C. (1981), Possible New Strange Attractors With Spiral Structure, Commun. Math. Phys. 79, 573-579.

[3] Deleanu, D. and Panaitescu, V. (2013), Chaos Synchronization Of Sprott K And Act Systems Using Backstepping Design, Constanta Maritime University Annals, 19.

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[5] Baptista, M.S., Grebogi, C., and Barreto, E. (2003), Dissecting shrimps: results for some one-dimensional physical models, International Journal of Bifurcation and Chaos, 13(9), 2681-2688.

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PublishedSeptember 2017

Usage tracking begins September 1, 2026.

History Published

Issue

Vol. 6 No. 3 (2017): Regular Issue

Section

Research Articles

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Unless an article landing page states a Creative Commons or other article-specific license, the article is published by L&H Scientific Publishing, LLC and all rights are reserved. The article-level license and copyright notice govern access and reuse.

How to Cite

Chowdhury, A. R., Ray, A., & Saha, P. (2026). On Some Chaotic Aspects and Center Manifold Reduction of ACT Nonlinear System. Journal of Applied Nonlinear Dynamics, 6(3), 355-367. https://doi.org/10.5890/JAND.2017.09.004

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