https://doi.org/10.1140/epjc/s10052-016-4544-4
Regular Article - Theoretical Physics
Evolution of perturbed dynamical systems: analytical computation with time independent accuracy
1
Department of Mathematics and Mathematical Modelling, Russian–Armenian (Slavonic) University, Yerevan, Armenia
2
School of Physics and Astronomy, Monash University, Clayton, Australia
* e-mail: gurzadyana@gmail.com
Received:
12
October
2016
Accepted:
24
November
2016
Published online:
10
December
2016
An analytical method for investigation of the evolution of dynamical systems with independent on time accuracy is developed for perturbed Hamiltonian systems. The error-free estimation using of computer algebra enables the application of the method to complex multi-dimensional Hamiltonian and dissipative systems. It also opens principal opportunities for the qualitative study of chaotic trajectories. The performance of the method is demonstrated on perturbed two-oscillator systems. It can be applied to various non-linear physical and astrophysical systems, e.g. to long-term planetary dynamics.
© The Author(s), 2016
