TY  - JOUR
A1  - Pikovsky, Arkady
T1  - Scaling of energy spreading in a disordered Ding-Dong lattice
JF  - Journal of statistical mechanics: theory and experiment
N2  - We study numerical propagation of energy in a one-dimensional Ding-Dong lattice composed of linear oscillators with elastic collisions. Wave propagation is suppressed by breaking translational symmetry, and we consider three ways to do this: position disorder, mass disorder, and a dimer lattice with alternating distances between the units. In all cases the spreading of an initially localized wavepacket is irregular, due to the appearance of chaos, and subdiffusive. For a range of energies and of weak and moderate levels of disorder, we focus on the macroscopic statistical characterization of spreading. Guided by a nonlinear diffusion equation, we establish that the mean waiting times of spreading obey a scaling law in dependence of energy. Moreover, we show that the spreading exponents very weakly depend on the level of disorder.
KW  - connections between chaos and statistical physics
KW  - nonlinear dynamics
KW  - transport properties
Y1  - 2020
U6  - https://doi.org/10.1088/1742-5468/ab7e30
SN  - 1742-5468
VL  - 2020
IS  - 5
PB  - IOP Publishing Ltd.
CY  - Bristol
ER  - 
TY  - JOUR
A1  - Ullner, E.
A1  - Ares, S.
A1  - Morelli, L. G.
A1  - Oates, A. C.
A1  - Jülicher, F.
A1  - Nicola, E.
A1  - Heussen, R.
A1  - Whitmore, D.
A1  - Blyuss, K.
A1  - Fryett, M.
A1  - Zakharova, A.
A1  - Koseska, A.
A1  - Nene, N. R.
A1  - Zaikin, Alexei
T1  - Noise and oscillations in biological sysems multidisciplinary approach between experimental biology, theoretical modelling and synthetic biology
JF  - International journal of modern physics : B, Condensed matter physics, statistical physics, applied physics
N2  - Rapid progress of experimental biology has provided a huge flow of quantitative data, which can be analyzed and understood only through the application of advanced techniques recently developed in theoretical sciences. On the other hand, synthetic biology enabled us to engineer biological models with reduced complexity. In this review we discuss that a multidisciplinary approach between this sciences can lead to deeper understanding of the underlying mechanisms behind complex processes in biology. Following the mini symposia "Noise and oscillations in biological systems" on Physcon 2011 we have collected different research examples from theoretical modeling, experimental and synthetic biology.
KW  - Systems biology
KW  - synthetic biology
KW  - nonlinear dynamics
Y1  - 2012
U6  - https://doi.org/10.1142/S0217979212460095
SN  - 0217-9792
VL  - 26
IS  - 25
PB  - World Scientific
CY  - Singapore
ER  - 
TY  - GEN
A1  - Motter, Adilson E.
A1  - Matias, Manuel A.
A1  - Kurths, Jürgen
A1  - Ott, Edward
T1  - Dynamics on complex networks and applications
T2  - Physica. D, Nonlinear phenomena
KW  - complex systems
KW  - nonlinear dynamics
KW  - statistical physics
Y1  - 2006
U6  - https://doi.org/10.1016/j.physd.2006.09.012
SN  - 0167-2789
VL  - 224
IS  - 1-2
SP  - VII
EP  - VIII
PB  - Elsevier
CY  - Amsterdam
ER  - 
TY  - GEN
A1  - Bolotov, Maxim
A1  - Smirnov, Lev A.
A1  - Osipov, Grigory V.
A1  - Pikovskij, Arkadij
T1  - Complex chimera states in a nonlinearly coupled oscillatory medium
T2  - 2018 2nd School on Dynamics of Complex Networks and their Application in Intellectual Robotics (DCNAIR)
N2  - We consider chimera states in a one-dimensional medium of nonlinear nonlocally coupled phase oscillators. Stationary inhomogeneous solutions of the Ott-Antonsen equation for a complex order parameter that correspond to fundamental chimeras have been constructed. Stability calculations reveal that only some of these states are stable. The direct numerical simulation has shown that these structures under certain conditions are transformed to breathing chimera regimes because of the development of instability. Further development of instability leads to turbulent chimeras.
KW  - phase oscillator
KW  - nonlocal coupling
KW  - synchronization
KW  - chimera state
KW  - partial synchronization
KW  - phase lag
KW  - nonlinear dynamics
Y1  - 2018
SN  - 978-1-5386-5818-5
U6  - https://doi.org/10.1109/DCNAIR.2018.8589210
SP  - 17
EP  - 20
PB  - IEEE
CY  - New York
ER  -