## Department of Physics

Indian Institute Of Technology Madras , Chennai

### Dynamics and Bifurcations in an Inhomogeneous Coupled Map Lattice

#### Abstract :

We investigate an inhomogeneous lattice of coupled logistic maps numerically with respect to inhomogenity constant $\gamma$ and the coupling constant $\epsilon$. In our model inhomogeity appears in the form of different values of the map parameter in different sites. The phase diagram of the model in $\gamma-\epsilon$ plane gives five qualitatively different solutions. They are synchronized solution, non-synchronized solution fixed in time, periodic in time, quasi-periodic in time and spatio- temporal chaotic solution. Our system exhibits tangent bifurcation from synchronized solution to non-synchronized steady solution, period doubling bifurcation from non-synchronized steady solution to periodic solution and Neimark Sacker (Hopf) bifurcation from non-synchronized steady solution to quasiperiodic solution. We illustrate our results using time plot, spacetime plot, Fourier transform, bifurcation diagram, stability matrix.

Key Speaker Dr. Alaka Das, Department of Mathematics, Jadavpur University
Guests None
Place Conference Room
Start Time 3:00 PM
Finish Time 4:00 PM