Abstract
A class of nonautonomous dynamical systems, consisting of an autonomous nonlinear system and an autonomous linear periodic system, each acting by itself at different time intervals, is studied. It is shown that under certain conditions for the durations of the linear and the nonlinear time intervals, the dynamics of the nonautonomous piecewise linear system is closely related to that of its nonlinear autonomous component. As a result, families of explicit periodic, nonperiodic and localized breather-like solutions are analytically obtained for a variety of interesting physical phenomena.
Original language | English |
---|---|
Pages (from-to) | 509-518 |
Number of pages | 10 |
Journal | International Journal of Bifurcation and Chaos |
Volume | 20 |
Issue number | 2 |
DOIs | |
Publication status | Published - Feb 2010 |
Keywords
- Analytical solutions
- Nonautonomous systems
- Piecewise linear systems
ASJC Scopus subject areas
- Modelling and Simulation
- Engineering (miscellaneous)
- General
- Applied Mathematics