Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2011-04-26
Nonlinear Sciences
Chaotic Dynamics
7 pages, 7 figures, NDES conference
Scientific paper
We have identified a novel mechanism for the birth of Strange Nonchaotic Attractor (SNA) in a quasiperiodically forced Chua's circuit. In this study the amplitude of one of the external driving forces is considered as the control parameter. By varying this control parameter, we find that bubbles appear in the strands of the torus. These bubbles start to double in number as the control parameter is increased. On increasing the parameter continuously, successive doubling of the bubbles occurs, leading to the birth of SNAs. We call this mechanism as the bubble doubling mechanism. The formation of SNA through this bubble doubling route is confirmed numerically, using Poincar\'e maps, maximal Lyapunov exponent and its variance and the distribution of finite-time Lyapunov exponents. Also a quantitative confirmation of the strange nonchaotic dynamics is carried out with the help of singular continuous spectrum analysis.
Prasad Awadhesh
Suresh Krishnan
Thamilmaran K.
No associations
LandOfFree
Bubble doubling route to strange nonchaotic attractor in a quasiperiodically forced Chua's circuit does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Bubble doubling route to strange nonchaotic attractor in a quasiperiodically forced Chua's circuit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bubble doubling route to strange nonchaotic attractor in a quasiperiodically forced Chua's circuit will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-297183