International Journal of Chemical Studies
Vol. 2, Issue 6 (2015)
Effect of sinusoidal and non-sinusoidal excitations on Rossler system
Author(s): S. Guruparan, M. Anbuchezhelian, V. Ravichandran, V. Chinnathambi
Abstract: We analyze numerically the effect of sinusoidal and non-sinusoidal periodic forces in the ubiquitousrnRossler system. The external sinusoidal and non-sinusoidal periodic forces considered are sine wave,rnrectified sine wave, modulus of sine wave, square wave, symmetric saw-tooth wave and asymmetric sawtoothrnwave. Through numerical simulation which include bifurcation diagram, phase portrait, Poincarernmap, time series and maximal Lyapunov exponent, we find the occurrence of period-doublingrnbifurcation, chaos, intermittency, periodic windows, reverse period doubling bifurcation and variousrnshapes of strange attractors due to the applied sinusoidal and non-sinusoidal forces in this system. Arncomparative study of the effect of various forces on above said nonlinear phenomena is also performed.
Pages: 30-37 | 933 Views 13 Downloads
How to cite this article:
S. Guruparan, M. Anbuchezhelian, V. Ravichandran, V. Chinnathambi. Effect of sinusoidal and non-sinusoidal excitations on Rossler system. Int J Chem Stud 2015;2(6):30-37.