Year: 2025
Type: article
Abstract: Dynamical complexity of a Duffing oscillator in the presence of both a linear and fractional damping and excited harmonically has been investigated. The potential energy term involve in the system comprises two minima i.e., double well potential. Numerical simulation has been carried out with a view to understand the complex dynamics of such a fractional Duffing system with (i) increased values of the fractional order, and (ii) increased value of the amplitude, of the external harmonic excitation while retaining the values of other parameters of the system. Time series, phase portraits have been extensively used to demonstrate pictorially the complex dynamics of the system. In addition, Lyapunov exponents have been computed in each of the cases (i) and (ii) to quantitatively asses the involved dynamical complexity.
Authors: Mainak Mukherjee, Saureesh Das, AK Chaudhary, LM Saha, Pankaj Narang, MK Das
Institutions: University of Delhi, Sri Venkateswara University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4409489919