Some Flavours of Synchrony

Synchronization is a remarkable phenomenon that is ubiquitous in a range of natural systems. The recent spurt of interest nonlinear science has given fresh impetus to the study of synchrony, and in particular has made evident that there are a variety of forms of synchronization.

In this talk, I discuss these different aspects, complete, phase, relay and lag synchrony. Generalized synchrony is one of the most general forms of synchronization, and probably the most widespread in nature. An important consideration in natural systems is the occurrence of intrinsic and external noise, and synchronization can also arise as a consequence of applied noise. Such issues are particularly relevant in biological systems, both at a cellular or subcellular level, as well as at an organismal level. A number of examples drawn from such situations will be discussed.

• Thounaojam Umeshkanta Singh, Amitabha Nandi, and Ramakrishna Ramaswamy “Scenarios for generalized synchronization with chaotic driving” Phys. Rev. E 78, 025205(R) (2008)
• Thounaojam Umeshkanta Singh, Haider Hasan Jafri, and Ramakrishna Ramaswamy “Transition to weak generalized synchrony in chaotically driven flows”, Phys. Rev. E 81, 016208 (2010)
• Awadhesh Prasad, Jürgen Kurths, Syamal Kumar Dana, and Ramakrishna Ramaswamy, “Phase-flip bifurcation induced by time delay” Phys. Rev. E 74, 035204(R) (2006)
• Amitabha Nandi, Santhosh G., R. K. Brojen Singh, and Ram Ramaswamy “Effective mechanisms for the synchronization of stochastic oscillators”, Phys. Rev. E 76, 041136 (2007)