Sublattice synchronization of chaotic networks with delayed couplings.

Synchronization of chaotic units coupled by their time-delayed variables is investigated analytically. A type of cooperative behavior is found: Sublattice synchronization. Although the units of one sublattice are not directly coupled to each other, they completely synchronize without time delay. The chaotic trajectories of different sublattices are only weakly correlated but not related by generalized synchronization. Nevertheless, the trajectory of one sublattice is predictable from the complete trajectory of the other one. The spectra of Lyapunov exponents are calculated analytically in the limit of infinite delay times, and phase diagrams are derived for different topologies.

• Publication year

  2007

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2007-03-07

• Fields of study

  Medicine, Physics, Mathematics

• Identifiers
  DOI 10.1103/physreve.76.035202arXiv nlin/0703009PMID 17930294
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Synchronization

  2018cited by this paper
• Complete chaotic synchronization in mutually coupled time-delay systems.

  2006cited by this paper
• Zero-lag long-range synchronization via dynamical relaying.

  2006cited by this paper
• Bizarrely, Adding Delay to Delay Produces Synchronization

  2006cited by this paper
• Observation of cascade complete-chaos synchronization with zero time lag in laser diodes

  2006cited by this paper
• Nonlinear dynamics. Bizarrely, adding delay to delay produces synchronization.

  2006cited by this paper
• Chaos-based communications at high bit rates using commercial fibre-optic links

  2005cited by this paper
• Stable isochronal synchronization of mutually coupled chaotic lasers.

  2005cited by this paper
• Synchronization scenario of two distant mutually coupled semiconductor lasers

  2004cited by this paper
• Delays, connection topology, and synchronization of coupled chaotic maps.

  2003cited by this paper
• Nullified time-of-flight lead-lag in synchronization of chaotic external-cavity laser diodes.

  2003cited by this paper
• Generalized synchronization of chaos in noninvertible maps.

  2002cited by this paper
• Synchronization of chaotic systems

  2001cited by this paper
• Synchronization: Phase locking and frequency entrainment

  2001cited by this paper
• Synchronization: A Universal Concept in Nonlinear Sciences

  2001cited by this paper
• Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers.

  2001cited by this paper
• Relaxation oscillators with time delay coupling

  1998cited by this paper
• Generalized synchronization of chaos: The auxiliary system approach.

  1996cited by this paper
• High-dimensional chaos in delayed dynamical systems

  1994cited by this paper
• Circuit implementation of synchronized chaos with applications to communications.

  1993cited by this paper
• Interhemispheric synchronization of oscillatory neuronal responses in cat visual cortex

  1991cited by this paper
• Synchronization in chaotic systems.

  1990cited by this paper
• Period-Doubling of Kink-Antikink Patterns, Quasiperiodicity in Antiferro-Like Structures and Spatial Intermittency in Coupled Logistic Lattice*) -- Towards a Prelude of a "Field Theory of Chaos"--

  1984cited by this paper

• Cluster synchronization in mutually-coupled semiconductor laser networks with different topologies

  2019cites this paper
• Criterion of globally complete chaos synchronization for diverse three-node VCSEL networks with coupling delays

  2019cites this paper
• Pinning Synchronization of Fractional-order Complex Networks With Arbitrary Fixed Topology

  2019cites this paper
• Cluster Synchronization for Interacting Clusters of Nonidentical Nodes via Intermittent Pinning Control

  2018cites this paper
• Delay-independent design for chaotic synchronization in delay-coupled Bernoulli map networks

  2017cites this paper
• Hyperchaos from a Model of Coupled Stratosphere-Troposphere Dynamics

  2017cites this paper
• Chaos synchronization by resonance of multiple delay times.

  2016cites this paper
• Cluster and Group Synchrony: The Theory

  2016cites this paper
• Interplay of delay and multiplexing: Impact on cluster synchronization.

  2016cites this paper
• Interplay of degree correlations and cluster synchronization.

  2016cites this paper
• On the Role of Triadic Substructures in Complex Networks

  2015cites this paper
• Controlling Synchronization Patterns in Complex Networks

  2015cites this paper
• Impact of a leader on cluster synchronization.

  2015cites this paper
• Improving intergroup synchronization in a ring topology structure of semiconductor lasers by asymmetric coupling

  2015cites this paper
• Impact of heterogeneous delays on cluster synchronization.

  2014cites this paper
• Hierarchy and polysynchrony in an adaptive network.

  2014cites this paper
• Clustering in delay-coupled smooth and relaxational chemical oscillators.

  2013cites this paper
• Chaos in networks with time-delayed couplings

  2013cites this paper
• Synchronization in Delay-coupled Complex Networks

  2013cites this paper
• OPTOELECTRONIC EXPERIMENTS ON RANDOM BIT GENERATORS AND COUPLED DYNAMICAL SYSTEMS

  2013cites this paper
• Experimental observations of group synchrony in a system of chaotic optoelectronic oscillators.

  2013cites this paper
• Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers

  2013cites this paper
• Heterogeneous delays in neural networks

  2013cites this paper
• Synchronization in small networks of time-delay coupled chaotic diode lasers.

  2012cites this paper
• Cluster and group synchronization in delay-coupled networks.

  2012cites this paper
• Role of delay in the mechanism of cluster formation

  2012cites this paper
• Sensitivity of global network dynamics to local parameters versus motif structure in a cortexlike neuronal model.

  2012cites this paper
• Synchronization of Chaotic Networks and Secure Communication

  2012cites this paper
• Synchronization of chaotic networks with time-delayed couplings: an analytic study.

  2011cites this paper
• Role of delay for the symmetry in the dynamics of networks.

  2011cites this paper
• Synchronization in Delay-Coupled Laser Networks

  2011cites this paper
• Nonlocal Mechanism for Synchronization of Time Delay Networks

  2011cites this paper
• Periodic patterns in a ring of delay-coupled oscillators.

  2010cites this paper
• On chaos synchronization and secure communication

  2010cites this paper
• Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography.

  2010cites this paper
• Delay-coupled discrete maps: Synchronization, bistability, and quasiperiodicity

  2010cites this paper
• Chaos synchronization with time-delayed couplings: Three conjectures

  2009cites this paper
• Pulses of chaos synchronization in coupled map chains with delayed transmission.

  2009cites this paper
• Synchronization of networks of chaotic units with time-delayed couplings.

  2009cites this paper
• Patterns of chaos synchronization.

  2008influential citation
• Public channel cryptography: chaos synchronization and Hilbert's tenth problem.

  2008cites this paper
• Synchronization properties of network motifs: influence of coupling delay and symmetry.

  2008cites this paper
• Chaos pass filter: linear response of synchronized chaotic systems.

  2008cites this paper
• Synchronization in Small Networks of Time-delay Coupled Chaotic Diode Lasers References and Links

  year unknowncites this paper