S. Boccaletti - Academia.edu (original) (raw)

Papers by S. Boccaletti

Research paper thumbnail of Complex networks: Structure and dynamics

Physics Reports, 2006

Coupled biological and chemical systems, neural networks, social interacting species, the Interne... more Coupled biological and chemical systems, neural networks, social interacting species, the Internet and the World Wide Web, are only a few examples of systems composed by a large number of highly interconnected dynamical units. The first approach to capture the global properties of such systems is to model them as graphs whose nodes represent the dynamical units, and whose links stand for the interactions between them. On the one hand, scientists have to cope with structural issues, such as characterizing the topology of a complex wiring architecture, revealing the unifying principles that are at the basis of real networks, and developing models to mimic the growth of a network and reproduce its structural properties. On the other hand, many relevant questions arise when studying complex networks' dynamics, such as learning how a large ensemble of dynamical systems that interact through a complex wiring topology can behave collectively. We review the major concepts and results recently achieved in the study of the structure and dynamics of complex networks, and summarize the relevant applications of these ideas in many different disciplines, ranging from nonlinear science to biology, from statistical mechanics to medicine and engineering.

Research paper thumbnail of Explosive first-order transition to synchrony in networked chaotic oscillators

Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the ... more Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in networks of chaotic units. Namely, by means of both extensive simulations of networks made up of chaotic units, and validation with an experiment of electronic circuits in a star configuration, we demonstrate the existence of a first order transition towards synchronization of the phases of the networked units. Our findings constitute the first prove of this kind of synchronization in practice, thus opening the path to its use in real-world applications. PACS:89.75.Hc, 89.75.Kd, 05.45.Xt The understanding of the spontaneous emergence of collective behavior in ensembles of networked dynamical units constitutes a fascinating challenge in science. Despite the fact that critical phenomena in networks have been intensively studied, the physics literature [1] almost exclusively reports continuous phase transitions. However, it has been recognized that, although very few in number , there are physical processes which might lead to sharp, discontinuous transitions of a global order parameter. The last several years have also witnessed an ever-increasing interest in studying networked systems composed of nonlinear dynamical units , and in particular, in the emergence of synchronization phenomena . Within this latter context, some advances have been made for the case of non-equilibrium synchronization transitions of chaotic systems , being, however, all the reported cases examples of second order phase transitions.

Research paper thumbnail of Complex networks: Structure and dynamics

Physics Reports, 2006

Coupled biological and chemical systems, neural networks, social interacting species, the Interne... more Coupled biological and chemical systems, neural networks, social interacting species, the Internet and the World Wide Web, are only a few examples of systems composed by a large number of highly interconnected dynamical units. The first approach to capture the global properties of such systems is to model them as graphs whose nodes represent the dynamical units, and whose links stand for the interactions between them. On the one hand, scientists have to cope with structural issues, such as characterizing the topology of a complex wiring architecture, revealing the unifying principles that are at the basis of real networks, and developing models to mimic the growth of a network and reproduce its structural properties. On the other hand, many relevant questions arise when studying complex networks' dynamics, such as learning how a large ensemble of dynamical systems that interact through a complex wiring topology can behave collectively. We review the major concepts and results recently achieved in the study of the structure and dynamics of complex networks, and summarize the relevant applications of these ideas in many different disciplines, ranging from nonlinear science to biology, from statistical mechanics to medicine and engineering.

Research paper thumbnail of Explosive first-order transition to synchrony in networked chaotic oscillators

Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the ... more Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in networks of chaotic units. Namely, by means of both extensive simulations of networks made up of chaotic units, and validation with an experiment of electronic circuits in a star configuration, we demonstrate the existence of a first order transition towards synchronization of the phases of the networked units. Our findings constitute the first prove of this kind of synchronization in practice, thus opening the path to its use in real-world applications. PACS:89.75.Hc, 89.75.Kd, 05.45.Xt The understanding of the spontaneous emergence of collective behavior in ensembles of networked dynamical units constitutes a fascinating challenge in science. Despite the fact that critical phenomena in networks have been intensively studied, the physics literature [1] almost exclusively reports continuous phase transitions. However, it has been recognized that, although very few in number , there are physical processes which might lead to sharp, discontinuous transitions of a global order parameter. The last several years have also witnessed an ever-increasing interest in studying networked systems composed of nonlinear dynamical units , and in particular, in the emergence of synchronization phenomena . Within this latter context, some advances have been made for the case of non-equilibrium synchronization transitions of chaotic systems , being, however, all the reported cases examples of second order phase transitions.