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 …

Quenching, aging, and reviving in coupled dynamical networks

W Zou, DV Senthilkumar, M Zhan, J Kurths - Physics Reports, 2021 - Elsevier
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 …

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 …

Chimera death: Symmetry breaking in dynamical networks

A Zakharova, M Kapeller, E Schöll - Physical review letters, 2014 - APS
For a network of generic oscillators with nonlocal topology and symmetry-breaking coupling
we establish novel partially coherent inhomogeneous spatial patterns, which combine the …

Oscillation quenching mechanisms: Amplitude vs. oscillation death

A Koseska, E Volkov, J Kurths - Physics Reports, 2013 - Elsevier
Oscillation quenching constitutes a fundamental emergent phenomenon in systems of
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 …

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 …

Dynamic information routing in complex networks

C Kirst, M Timme, D Battaglia - Nature communications, 2016 - nature.com
Flexible information routing fundamentally underlies the function of many biological and
artificial networks. Yet, how such systems may specifically communicate and dynamically …

Dynamical robustness of network of oscillators

S Majhi, B Rakshit, A Sharma, J Kurths, D Ghosh - Physics Reports, 2024 - Elsevier
Most complex systems are nonlinear, relying on emergent behavior resulting from many
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 …