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

Autor:	B. Bhuvaneshwari, V. Chinnathambi, Shanmuganathan Rajasekar, S. V. Priyatharsini
Rok vydání:	2021
Předmět:	Nonlinear Sciences::Chaotic Dynamics Physics Piecewise linear function Mathematical analysis Duffing equation
Zdroj:	Journal of Scientific Research. 13:361-375
ISSN:	2070-0245 2070-0237
DOI:	10.3329/jsr.v13i2.49503
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ffdb39d6e1b3216b969fbc8acc6395a4 https://doi.org/10.3329/jsr.v13i2.49503 Zobrazit plný text záznamu Plný text ve formátu PDF