Bifurcation and chaos in a delayed eco-epidemic model induced by prey configuration

Gupta, Ashvini; Dubey, B.

doi:10.1016/j.chaos.2022.112785

Cited by 4 publications

(1 citation statement)

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“…Bifurcation analysis of chaotic dynamical systems is a powerful tool to verify chaotic motion, and is very useful to understand the qualitative properties of the systems, such as the existence of equilibrium points, quasi-periodic motion, periodic motion and chaotic at-tractors [23,24]. A bifurcation analysis of the proposed mechanical jerk system is presented herein to describe the special properties of the system with respect to the variation of the system constants.…”

Section: Introductionmentioning

confidence: 99%

FPGA-Based Implementation of a New 3-D Multistable Chaotic Jerk System with Two Unstable Balance Points

et al. 2023

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Mechanical jerk systems have applications in several areas, such as oscillators, microcontrollers, circuits, memristors, encryption, etc. This research manuscript reports a new 3-D chaotic jerk system with two unstable balance points. It is shown that the proposed mechanical jerk system exhibits multistability with coexisting chaotic attractors for the same set of system constants but for different initial states. A bifurcation analysis of the proposed mechanical jerk system is presented to highlight the special properties of the system with respect to the variation of system constants. A field-programmable gate array (FPGA) implementation of the proposed mechanical jerk system is given by synthesizing the discrete equations that are obtained by applying one-step numerical methods. The hardware resources are reduced by performing pipeline operations, and, finally, the paper concludes that the experimental results of the proposed mechanical jerk system using FPGA-based design show good agreement with the MATLAB simulations of the same system.

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Section: Introductionmentioning

confidence: 99%