Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-04-24
Nonlinear Sciences
Chaotic Dynamics
20 pages, 7 figures
Scientific paper
The quantitative determination of the order-chaos transition in a nonlinear dynamical system described by H\'enon mapping defined as $x[n+1]=1.0-A*x[n]^2+B*y[n], y[n+1]=B*x[n]$, where $B=0.3$, and $A$ is an adjustable control parameter, was made. This was achieved by applying the Inverse Average Magnitude-Squared Coherence Index (IAMSCI). This method is based on the Welch average periodogram technique and it has the advantage respect to nonlinear dynamical methods that it may be applied to any stationary signal by using discrete Fourier transform (DFT) representation which allows to operate on a short discrete-time series. Its effectiveness was demonstrated by comparing the results obtained by applying IAMSCI method with those obtained by calculating the largest Lyapounov exponent (LLE), both applied to the same discrete-time series set derived from the H\'enon mapping.
Fadragas Carlos R.
Morales Rubén Orozco
No associations
LandOfFree
Applying the Inverse Average Magnitude Squared Coherence Index for Determining Order-Chaos Transition in a System Governed by Hénon Mapping Dynamics 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 Applying the Inverse Average Magnitude Squared Coherence Index for Determining Order-Chaos Transition in a System Governed by Hénon Mapping Dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Applying the Inverse Average Magnitude Squared Coherence Index for Determining Order-Chaos Transition in a System Governed by Hénon Mapping Dynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-519806