Oscillations

"Nonlinear Oscillations in Mechanical Engineering" explores the effects of nonlinearities encountered in applications in that field.

Authors: Grigorieva, Elena V., Kaschenko, Sergey A.
This book presents an analytical method for description of stronly nonlinear relaxation pulsing in laser systems
As a result of asymptotic integration, the original differential system is reduced to a discrete mapping
The method is applied to systems of autonomous and non-autonomous ordinary differential equations, as well as to infinite-dimensional delay-differential systems and to partial differential equations in discrete form of coupled systems
By analyzing fixed points of the mapping, we conclude about the existence of pulse regimes and their bifurcations By studying maps dynamics, we obtain the conditions for multi-rytmicity (coexistence of pulsings), quasiperiodic and chaotic pulsing Describing the control method using a single short-time external impact to a laser system