| dc.contributor | Universidade Estadual Paulista (UNESP) | |
| dc.creator | Zakia, Nasri | |
| dc.creator | Binous, Housam | |
| dc.date | 2011-05-26T19:58:30Z | |
| dc.date | 2011-05-26T19:58:30Z | |
| dc.date | 2011-05-26 | |
| dc.date.accessioned | 2017-04-05T17:09:47Z | |
| dc.date.available | 2017-04-05T17:09:47Z | |
| dc.identifier | http://acervodigital.unesp.br/handle/123456789/5586 | |
| dc.identifier | http://objetoseducacionais2.mec.gov.br/handle/mec/8061 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/832997 | |
| dc.description | Time series, phase space, Differential Equations, Poincaré section | |
| dc.description | The forced Duffing oscillator exhibits behavior ranging from limit cycles to chaos due to its nonlinear dynamics. The governing equation is (d^2 x)/〖dt〗^2 +γ dx/dt-ω^2 x+ϵx^3=Γcos(Ωt), with γ=0.1, Є=0.25, ω=1, Ω=2, x(0)=1, and (dx/dt)_(t=0)=0. When the periodic force (Γ) that drives the system is large, chaotic behavior emerges and the phase space diagram is a strange attractor. In that case the behavior of the system is sensitive to the initial condition. In order to plot a Poincaré section, take one data point from phase space per period of the driving force. The Poincaré section is a complicated fractal curve when the phase diagram is a strange attractor. The Poincaré section is a single point when the phase space diagram is a limit cycle | |
| dc.description | Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática | |
| dc.publisher | Wolfram Demonstration Project | |
| dc.relation | ForcedDuffingOscillator.nbp | |
| dc.rights | Demonstration freeware using Mathematica Player | |
| dc.subject | Oscillator | |
| dc.subject | Differential Equations | |
| dc.subject | Educação Superior::Ciências Exatas e da Terra::Matemática::Equações Diferenciais Ordinárias | |
| dc.title | Forced duffing oscillator | |
| dc.type | Software | |
