Topological synchronization of chaotic systems

N Lahav, I Sendiña-Nadal, C Hens, B Ksherim… - Scientific reports, 2022 - nature.com
A chaotic dynamics is typically characterized by the emergence of strange attractors with
their fractal or multifractal structure. On the other hand, chaotic synchronization is a unique …

Transition from local to global phase synchrony in small world neural network and its possible implications for epilepsy

B Percha, R Dzakpasu, M Żochowski, J Parent - Physical Review E—Statistical …, 2005 - APS
Temporal correlations in the brain are thought to have very dichotomous roles. On one hand
they are ubiquitously present in the healthy brain and are thought to underlie feature binding …

Complex economic dynamics: chaotic saddle, crisis and intermittency

ACL Chian, EL Rempel, C Rogers - Chaos, Solitons & Fractals, 2006 - Elsevier
Complex economic dynamics is studied by a forced oscillator model of business cycles. The
technique of numerical modeling is applied to characterize the fundamental properties of …

Phase slips in coupled oscillator systems

PB Gogoi, S Kumarasamy, A Prasad, R Ramaswamy - Physical Review E, 2023 - APS
Phase slips are a typical dynamical behavior in coupled oscillator systems: the route to
phase synchrony is characterized by intervals of constant phase difference interrupted by …

Complete synchronization and generalized synchronization of one-way coupled time-delay systems

M Zhan, X Wang, X Gong, GW Wei, CH Lai - Physical Review E, 2003 - APS
The complete synchronization and generalized synchronization (GS) of one-way coupled
time-delay systems are studied. We find that GS can be achieved by a single scalar signal …

[BOOK][B] Complex systems approach to economic dynamics

ACL Chian - 2007 - books.google.com
Economic Systems exhibit complex dynamics evidenced by large-amplitude and aperiodic
fluctuations in economic variables, such as foreign exchange rates and stock market prices …

Phase synchronization in small-world networks of chaotic oscillators

C Li, G Chen - Physica A: Statistical Mechanics and its Applications, 2004 - Elsevier
Small-world networks are highly clustered networks with small average distance among the
vertices. There are many natural and technological networks that present this kind of …

Desynchronization and inhibition of Kuramoto oscillators by scalar mean-field feedback

A Franci, A Chaillet, E Panteley… - Mathematics of Control …, 2012 - Springer
Motivated by neuroscience applications, and in particular by the deep brain stimulation
treatment for Parkinson's disease, we have recently derived a simplified model of an …

Synchronization of chaotic systems: A microscopic description

N Lahav, I Sendina-Nadal, C Hens, B Ksherim… - Physical Review E, 2018 - APS
The synchronization of coupled chaotic systems represents a fundamental example of self
organization and collective behavior. This well-studied phenomenon is classically …

Ring intermittency near the boundary of the synchronous time scales of chaotic oscillators

MO Zhuravlev, AA Koronovskii, OI Moskalenko… - Physical Review E …, 2011 - APS
In this Brief Report we study both experimentally and numerically the intermittent behavior
taking place near the boundary of the synchronous time scales of chaotic oscillators being in …