Seminar at SMU Delhi
October 3, 2012 (Wednesday) ,
3:30 PM at Webinar
Graphic Era University, Dehradun
Order, chaos, control and synchronization in nonlinear ecological systems
Abstract of Talk
The aim of my research work is to unveil the factors/mechanism responsible for complex behavior in multispecies ecological systems. This is an attempt to analyze models with single or multiple delays and impulsive perturbations. An effort has been made to synchronize and stabilize the complex behavior in the models. The numerical simulations are carried out to explore the possibility of chaos and complexity in nonlinear models.
It has been studied the stability, bifurcation and chaos of nonlinear dynamical systems. The rich dynamic behavior has been analyzed using stability analysis, bifurcation diagrams, Lyapunov exponents/dimensions, Poincare section/maps etc. The transient behavior of the autonomous and non autonomous nonlinear systems incorporating time lags, periodicity and impulsive forces is simulated for large values of time for feasible values of parameters. The possibility of chaos is investigated. Emphasis is on the control of temporal chaos and synchronization with regular solution. The techniques developed and knowledge gained has been applied to solve practical problems.