Chaos in cubic-quintic nonlinear oscillator
| Subject | Applied Mathematics |
| Title | Chaos in cubic-quintic nonlinear oscillator |
| Author(s) | Patanjali Sharma and V. G. Gupta |
| Keywords | Lie transformation, Poincare map, chaos, nonlinear oscillator |
| Abstract | In this paper, we used Hamiltonian formulation and Lie transform to investigate a strongly nonlinear oscillator. Using Chirikovs overlap criterion we fi nd the value of $ \varepsilon_{cr}$ at which the chaos loses its local character and becomes global. The results of Lie transformation analysis and Chirikovs criteria for the oscillator are compared with numerically generated Poincare Maps. |