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 …
most exciting phenomena in dynamical systems. It can be found in different areas of science …
Quenching, aging, and reviving in coupled dynamical networks
Rhythmic behavior represents one of the most striking and ubiquitous manifestations of
functional evolution for a wide class of natural and man-made systems. The emergence of …
functional evolution for a wide class of natural and man-made systems. The emergence of …
Multistability in Physical and Living Systems
AN Pisarchik, AE Hramov - Cham: Springer, 2022 - Springer
Multistability is ubiquitous in nature. From a mathematical point of view, multistability is the
coexistence of stable states (attractors) for the same set of system parameters. The …
coexistence of stable states (attractors) for the same set of system parameters. The …
Chimera death: Symmetry breaking in dynamical networks
For a network of generic oscillators with nonlocal topology and symmetry-breaking coupling
we establish novel partially coherent inhomogeneous spatial patterns, which combine the …
we establish novel partially coherent inhomogeneous spatial patterns, which combine the …
Oscillation quenching mechanisms: Amplitude vs. oscillation death
Oscillation quenching constitutes a fundamental emergent phenomenon in systems of
coupled nonlinear oscillators. Its importance for various natural and man-made systems …
coupled nonlinear oscillators. Its importance for various natural and man-made systems …
Amplitude death: The emergence of stationarity in coupled nonlinear systems
G Saxena, A Prasad, R Ramaswamy - Physics Reports, 2012 - Elsevier
When nonlinear dynamical systems are coupled, depending on the intrinsic dynamics and
the manner in which the coupling is organized, a host of novel phenomena can arise. In this …
the manner in which the coupling is organized, a host of novel phenomena can arise. In this …
Chimera patterns in networks
A Zakharova - Springer, 2020 - Springer
Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …
particular, on nonlinear dynamics, network science, and statistical physics with applications …
Dynamic information routing in complex networks
Flexible information routing fundamentally underlies the function of many biological and
artificial networks. Yet, how such systems may specifically communicate and dynamically …
artificial networks. Yet, how such systems may specifically communicate and dynamically …
Dynamical robustness of network of oscillators
Most complex systems are nonlinear, relying on emergent behavior resulting from many
interacting subsystems, which are often characterized by oscillatory dynamics. Having …
interacting subsystems, which are often characterized by oscillatory dynamics. Having …
A comparative analysis of synthetic genetic oscillators
O Purcell, NJ Savery, CS Grierson… - Journal of The …, 2010 - royalsocietypublishing.org
Synthetic biology is a rapidly expanding discipline at the interface between engineering and
biology. Much research in this area has focused on gene regulatory networks that function …
biology. Much research in this area has focused on gene regulatory networks that function …