Numerical Investigation of the Nonlinear Behavior of a Double Pendulum
Guilherme Luiz Torres Mendonça1; Alberto Paiva1; Marcelo Amorim Savi2
1 Universidade Federal Fluminense; 2 Universidade Federal do Rio de Janeiro
doi:10.20906/CPS/COB-2015-2494
Resumo
Elementary physical systems are often used to model practical mechanical applications; notwithstanding, despite of their simplicity, they may present complex nonlinear behaviors. Within this context, it is worthwhile to deeply understand their dynamical features, in order to explore all the richness of possible responses inherent to nonlinear systems, while dealing with real situations. This paper concerns the numerical analysis of a double pendulum, based upon topological interpretations. The differential equations of motion are implemented through a fourth-order Runge-Kutta scheme. The results accounts for chaotic and hyperchaotic responses for both free and forced vibrations, besides a specific discussion about toroidal bifurcation.
Palavras-chave: Double Pendulum; Nonlinear Dynamics; Chaos; Toroidal Bifurcation