R. Suresh, K. Srinivasan, D. V. Senthilkumar, K. Murali, M. Lakshmanan, and J. Kurths Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli-620024, India Centre for Dynamics of Complex Systems, University of Potsdam, 14469 Potsdam, Germany Potsdam Institute for Climate Impact Research, 14473 Potsdam, Germany Department of Physics, Anna University, Chennai, I...

A key issue in complex systems regards the relationship between topology and dynamics. In this work, we use a recently introduced network property known as steering coefficient as a means to approach this issue with respect to different directed complex network systems under varying dynamics. Theoretical and real-world networks are considered, and the influences of reciprocity and average degre...

A useful way to think about the relationship of these multiple dynamics within complex social systems builds on the work of Ralph Stacey who views the degree of (a) agreement and (b) certainty in a social system as the basis for differentiating system dynamics. “Agreement” refers to the degree of accord among, for example, those in a group, team, organization, or community about their prioritie...

In this communication, complex systems with a near trivial dynamics are addressed. First, under the hypothesis of equiprobability in the asymptotic equilibrium, it is shown that the (hyper) planar geometry of an N-dimensional multi-agent economic system implies the exponential (Boltzmann-Gibss) wealth distribution and that the spherical geometry of a gas of particles implies the Gaussian (Maxwe...

Different nonlinear systems are presented exhibiting various dynamical phenomena, including bifurcations, chaotic dynamics, and synchronisation. Furthermore, methods for analysing, modelling and controlling complex dynamics are discussed. All these topics are illustrated with examples from work on nonlinear systems conducted at the DPI.

We consider complex dynamical systems showing metastable behavior, but no local separation of fast and slow time scales. The article raises the question of whether such systems exhibit a low-dimensional manifold supporting its effective dynamics. For answering this question, we aim at finding nonlinear coordinates, called reaction coordinates, such that the projection of the dynamics onto these...

The prerequisite for our understanding of many complex networked systems lies in the reconstruction of network structure from measurable data. Although binary-state dynamics occurring in a broad class of complex networked systems in nature and society and has been intensively investigated, a general framework for reconstructing complex networks from binary states, the inverse problem, is lackin...