title: Synchronization and amplitude death in hypernetworks.
abstract: We study dynamical systems on a hypernetwork, namely by coupling them through several variables. For the case when the coupling(s) are all linear, a comprehensive analysis of the master stability function (MSF) for synchronized dynamics is presented and, through application to a number of paradigmatic examples, the typical forms of the MSF are discussed. The MSF formalism for hypernetworks also provides a framework to study synchronization in systems that are diffusively coupled through dissimilar variables-the so-called conjugate coupling that can lead to amplitude or oscillation death.
authors.affiliation: School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India.
authors.forename: Shakir
authors.initials: S
authors.lastname: Bilal
authors.affiliation: School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India and University of Hyderabad, Hyderabad 500 046, India.
authors.forename: Ramakrishna
authors.initials: R
authors.lastname: Ramaswamy
mesh_terms: D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010507:Periodicity