Control of multistability

AN Pisarchik, U Feudel - Physics Reports, 2014‏ - Elsevier
Multistability or coexistence of different attractors for a given set of parameters is one of the
most exciting phenomena in dynamical systems. It can be found in different areas of science …

Explosive transitions in complex networks' structure and dynamics: Percolation and synchronization

S Boccaletti, JA Almendral, S Guan, I Leyva, Z Liu… - Physics Reports, 2016‏ - Elsevier
Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …

[ספר][B] Synchronization: from coupled systems to complex networks

S Boccaletti, AN Pisarchik, CI Del Genio, A Amann - 2018‏ - books.google.com
A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …

Explosive phenomena in complex networks

RM D'Souza, J Gómez-Gardenes, J Nagler… - Advances in …, 2019‏ - Taylor & Francis
The emergence of large-scale connectivity and synchronization are crucial to the structure,
function and failure of many complex socio-technical networks. Thus, there is great interest …

Complex dynamics in multistable systems

U Feudel - International Journal of Bifurcation and Chaos, 2008‏ - World Scientific
The coexistence of several stable states for a given set of parameters has been observed in
many natural and experimental systems as well as in theoretical models. This paper gives …

Synchronization of interconnected networks: the role of connector nodes

J Aguirre, R Sevilla-Escoboza, R Gutierrez, D Papo… - Physical review …, 2014‏ - APS
In this Letter we identify the general rules that determine the synchronization properties of
interconnected networks. We study analytically, numerically, and experimentally how the …

Explosive first-order transition to synchrony in networked chaotic oscillators

I Leyva, R Sevilla-Escoboza, JM Buldú… - Physical review …, 2012‏ - APS
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 …

Hidden attractors in dynamical systems: systems with no equilibria, multistability and coexisting attractors

NV Kuznetsov, GA Leonov - IFAC Proceedings Volumes, 2014‏ - Elsevier
From a computational point of view it is natural to suggest the classification of attractors,
based on the simplicity of finding basin of attraction in the phase space: an attractor is called …

The synchronized dynamics of complex systems

S Boccaletti - Monograph series on nonlinear science and …, 2008‏ - Elsevier
Publisher Summary This chapter presents the case of two coupled identical systems. The
chapter describes the first historical studies on complete synchronization (CS) phenomena …

Review of chaotic intermittency

S Elaskar, E del Río - Symmetry, 2023‏ - mdpi.com
Chaotic intermittency is characterized by a signal that alternates aleatory between long
regular (pseudo-laminar) phases and irregular bursts (pseudo-turbulent or chaotic phases) …