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Chimera states are characterized by the symmetry-breaking coexistence of synchronized and incoherent groups of oscillators in certain chains of identical oscillators. We report on the direct experimental observation of states reminiscent of…

Pattern Formation and Solitons · Physics 2017-03-14 L. Q. English , A. Zampetaki , P. G. Kevrekidis , K. Skowronski , C. B. Fritz , Saidou Abdoulkary

A four-way coupling scheme for the direct numerical simulation of particle-laden flows is developed and analyzed. It employs a novel adaptive multi-relaxation time lattice Boltzmann method to simulate the fluid phase efficiently. The…

Computational Physics · Physics 2020-03-04 Christoph Rettinger , Ulrich Rüde

A new distributed MPC algorithm for the regulation of dynamically coupled subsystems is presented in this paper. The current control action is computed via two robust controllers working in a nested fashion. The inner controller builds a…

Systems and Control · Computer Science 2017-03-29 Bernardo Hernandez , Paul Trodden

Chimera is a fascinating phenomenon of coexisting synchronized and desynchronized behaviour that was discovered in networks of nonlocally coupled identical phase oscillators over ten years ago. Since then, chimeras were found in numerous…

Chaotic Dynamics · Physics 2015-06-22 Andrea Vüllings , Johanne Hizanidis , Iryna Omelchenko , Philipp Hövel

Machine learning methods are being actively considered as a new tool of describing many body physics. However, so far, their capabilities has been only demonstrated in previously studied models, such as e.g. Ising model. Here, we consider a…

Disordered Systems and Neural Networks · Physics 2019-12-20 Grigory Bednik

In this letter, we experimentally demonstrate an efficient scheme to regulate the behaviour of coupled nonlinear oscillators through dynamic control of their interaction. It is observed that introducing intermittency in the interaction term…

Adaptation and Self-Organizing Systems · Physics 2022-07-20 Shiva Dixit , Manaoj Aravind , P. Parmananda

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

Robust coordination and organization in large ensembles of nonlinear oscillatory units play a vital role in a wide range of natural and engineered system. The control of self-organizing network-coupled systems has recently seen significant…

Adaptation and Self-Organizing Systems · Physics 2022-10-04 Per Sebastian Skardal , Alex Arenas

We study the dynamics of networks with coupling delay, from which the connectivity changes over time. The synchronization properties are shown to depend on the interplay of three time scales: the internal time scale of the dynamics, the…

Statistical Mechanics · Physics 2018-12-26 Otti D'Huys , Javier Rodríguez-Laguna , Manuel Jiménez , Elka Korutcheva , Wolfgang Kinzel

The phenomenon of synchronization occurring in a locally coupled map lattice subject to an external drive is compared to the synchronization process in an autonomous coupled map system with similar local couplings plus a global interaction.…

Chaotic Dynamics · Physics 2009-11-11 M. Pineda , M. G. Cosenza

This paper gives convex conditions for synthesis of a distributed control system for large-scale networked nonlinear dynamic systems. It is shown that the technique of control contraction metrics (CCMs) can be extended to this problem by…

Systems and Control · Computer Science 2018-10-12 Humberto Stein Shiromoto , Max Revay , Ian R. Manchester

In this work we investigate the spatiotemporal behaviour of lattices of coupled chaotic logistic maps, where the coupling between sites has a nonlinear form. We show that the stable range of the spatiotemporal fixed point state is…

Chaotic Dynamics · Physics 2013-09-19 Ankit Kumar

Exploring the deep insights into localization, disorder, and wave transport in non-Hermitian systems is an emergent area of research of relevance in different areas of physics. Engineered photonic lattices, with spatial regions of optical…

Optics · Physics 2025-04-10 Stefano Longhi

We study a lattice model where the coupling stochastically switches between repulsive (subtractive) and attractive (additive) at each site with probability p at every time instance. We observe that such kind of coupling stabilizes the local…

Chaotic Dynamics · Physics 2011-04-01 Abhijeet R. Sonawane

We propose using ultracold fermionic atoms trapped in a periodically shaken optical lattice as a quantum simulator of the t-J Hamiltonian, which describes the dynamics in doped antiferromagnets and is thought to be relevant to the problem…

Strongly Correlated Electrons · Physics 2020-06-02 Hongmin Gao , Jonathan R. Coulthard , Dieter Jaksch , Jordi Mur-Petit

The control of network-coupled nonlinear dynamical systems is an active area of research in the nonlinear science community. Coupled oscillator networks represent a particularly important family of nonlinear systems, with applications…

Adaptation and Self-Organizing Systems · Physics 2016-08-03 Per Sebastian Skardal , Alex Arenas

Synchronization of spatiotemporally chaotic extended systems is considered in the context of coupled one-dimensional Complex Ginzburg-Landau equations (CGLE). A regime of coupled spatiotemporal intermittency (STI) is identified and…

chao-dyn · Physics 2009-10-28 A. Amengual , E. Hernandez-Garcia , R. Montagne , M. San Miguel

The present paper considers the model-based and data-driven control of unknown linear time-invariant discrete-time systems under event-triggering and self-triggering transmission schemes. To this end, we begin by presenting a dynamic…

Systems and Control · Electrical Eng. & Systems 2023-09-15 Xin Wang , Julian Berberich , Jian Sun , Gang Wang , Frank Allgöwer , Jie Chen

Assembling lattices from discrete building blocks enables the composition of large, heterogeneous, and easily reconfigurable objects with desirable mass-to-stiffness ratios. This type of building system may also be referred to as a digital…

Robotics · Computer Science 2024-10-14 Dominik Fischer , Loi Do , Miana Smith , Jiří Zemánek

We study the dynamics of one--dimensional discrete models of one--component active medium built up of spatially inhomogeneous chains of diffusively coupled piecewise linear maps. The nonhomogeneities (``defects'') are treated in terms of…

Chaotic Dynamics · Physics 2007-05-23 S. Rybalko , A. Loskutov
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