Effect of Different Forms of Periodic Piecewise Linear Forces on Duffing Oscillator

Authors

  • S. V. Priyatharsini Department of Physics, Sadakathullah Appa College (Affiliated to Manonmaniam Sundaranar University), Tirunelveli-627 011, Tamilnadu, India
  • B. Bhuvaneshwari Department of Physics, Sadakathullah Appa College (Affiliated to Manonmaniam Sundaranar University), Tirunelveli-627 011, Tamilnadu, India
  • V. Chinnathambi Department of Physics, Sadakathullah Appa College (Affiliated to Manonmaniam Sundaranar University), Tirunelveli-627 011, Tamilnadu, India
  • S. Rajasekar School of Physics, Bharathidasan University, Tiruchirapalli 620 024, Tamilnadu, India

DOI:

https://doi.org/10.3329/jsr.v13i2.49503

Abstract

The paper highlights the effect of different forms of   periodic   piecewise linear forces in the ubiquitous Duffing oscillator equation. The external periodic piecewise linear forces considered are Triangular, Hat, Trapezium, Quadratic and Rectangular. With the aid of some numerical simulation tools such as bifurcation diagram, phase portrait and Poincare´ map, the different routes to chaos and various strange attractors are found to occur due to the applied forces. The effect of an ε-parametric control force in the Duffing system is also analyzed. To characterize the regular and chaotic behaviours of this system, the maximal Lyapunov exponent is employed.

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Published

2021-05-01

How to Cite

Priyatharsini, S. V., Bhuvaneshwari, B., Chinnathambi, V., & Rajasekar, S. (2021). Effect of Different Forms of Periodic Piecewise Linear Forces on Duffing Oscillator. Journal of Scientific Research, 13(2), 361–375. https://doi.org/10.3329/jsr.v13i2.49503

Issue

Vol. 13 No. 2 (2021)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

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