Computation of Distinguished Hyperbolic Trajectories in Time-Dependent Vector Fields
By studying the definition of DHT (distinguished hyperbolic trajectory) and existing measure function in phase space, a measure function in the extended phase space is presented in this paper. Effect of system frequency on computation of DHT is explored. Two-dimensional and three-dimensional Duffing systems are taken as examples. The comparison between measure function in extended phase space and that in phase space and the comparison between natural frequency and twice frequency are both given by figures.
Dongye Sun, Wen-Pei Sung and Ran Chen
P. Yao et al., "Computation of Distinguished Hyperbolic Trajectories in Time-Dependent Vector Fields", Applied Mechanics and Materials, Vols. 71-78, pp. 3909-3913, 2011