A single parametrically controlled megastable multiscroll attractor with an unstable node

Manoj Joshi (), Vivek Bhatt and Ashish Ranjan
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Manoj Joshi: JSS Academy of Technical Education
Vivek Bhatt: National Institute of Technology
Ashish Ranjan: National Institute of Technology

The European Physical Journal B: Condensed Matter and Complex Systems, 2023, vol. 96, issue 5, 1-9

Abstract: Abstract This paper introduces a unique concept for generating multiscroll attractors using a single parametric control nonlinearity function. The novelty of this proposed multiscroll chaotic system evolves several fluctuating attractors by varying a single parameter instead of replacing the nonlinear function. The proposed simple chaotic system is free from multiplication terms and uses a sin nonlinearity term. As per the author’s knowledge, multiscroll chaotic system in the available literature have more than one parameter. An exceptional multiscroll behavior of the present work can be significantly examined by its various dynamical performance parameters like a transient response, phase portraits, Lyapunov exponents, and a bifurcation diagram. The proposed chaotic system belongs to the class of hidden attractors with a single unstable node. The other side of the investigation includes numerical simulation, which reports the system’s sensitivity concerning parameter values and initial condition variation. In addition, bi-coherence and bi-frequencies nature are successfully observed to quantify the amount of nonlinearity present in a chaotic system. Graphic abstract

Date: 2023
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Citations: View citations in EconPapers (2)

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DOI: 10.1140/epjb/s10051-023-00535-w

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