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View/ Open StudyOfTheDynamicBehaviorOfTheRosslerSystem.nbp 67.03Kb application/octet-stream
Title: Study of the dynamic behavior of the rossler system
Type of Resource: Animação/simulação
Objective: For a = b = 0.2 and c = 10, you can observe chaotic behavior, which is confirmed by the power spectrum diagram. The phase space diagram is that of a chaotic attractor. For a = b = 0.2 and c = 1, the power spectrum has few discrete bands, which confirms the periodic behavior. Also, a limit cycle is observed in the phase space diagram
Abstract: This Demonstration presents the dynamic behavior of the Rossler system, which is governed by: dx/dt = -y – z dy/dt = x + ay dz/dt = b+ z(x - c) For a particular selection of the model parameters a, b and c, you can observe periodic behavior, period doubling, or chaotic behavior. This Demonstration illustrates several important concepts of nonlinear dynamics, such as the time-series plot, phase-space diagram, power spectrum, and autocorrelation function plot
Observation: This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Curriculum Component: Educação Superior::Ciências Exatas e da Terra::Matemática
Theme: Educação Superior::Ciências Exatas e da Terra::Matemática::Equações Diferenciais Funcionais
Author: Nasri, Zakia; Binous, Housam
Language: English (en)
Country: United States (us)
Publisher: Wolfram Demonstration Project
Description: Differential Equations, periodic behavior, period doubling, chaotic behavior, Rossler System
Web Address: http://demonstrations.wolfram.com/StudyOfTheDynamicBehaviorOfTheRosslerSystem/
Date: 2008
Rightsholder: The Wolfram Demonstrations Project & Contributors
License: Demonstration freeware using Mathematica Player
Submitter: Universidade Federal de São Carlos (UFSCAR)
URI: http://objetoseducacionais2.mec.gov.br/handle/mec/8098
This Educational Object appears in the following Types of resources: Educação Superior: Ciências Exatas e da Terra: Matemática: Animações/Simulações