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Novel method of reconstructing dynamical networks from empirically measured time series is proposed. By examining the variable--derivative correlation of network node pairs, we derive a simple equation that directly yields the adjacency…

Data Analysis, Statistics and Probability · Physics 2012-10-09 Zoran Levnajić

We present a theoretical study of radiative heat transport in nonlinear solid-state quantum circuits. We give a detailed account of heat rectification effects, i.e. the asymmetry of heat current with respect to a reversal of the thermal…

Mesoscale and Nanoscale Physics · Physics 2009-04-28 Tomi Ruokola , Teemu Ojanen , Antti-Pekka Jauho

We numerically study a directed small-world network consisting of attractively coupled, identical phase oscillators. While complete synchronization is always stable, it is not always reachable from random initial conditions. Depending on…

Disordered Systems and Neural Networks · Physics 2015-03-13 Ralf Toenjes , Naoki Masuda , Hiroshi Kori

This paper proposes a nonlinear, adaptive controller to increase the stability margin of a direct-current (DC) small-scale electrical network containing a constant power load, whose value is unknown. Due to their negative incremental…

Systems and Control · Computer Science 2018-09-14 Juan E. Machado , José Arocas-Pérez , Wei He , Romeo Ortega , Robert Griñó

Transport properties of two coupled Josephson junctions driven by ac currents and thermal fluctuations are studied with the purpose of determining dc voltage characteristics. It is a physical realization of directed transport induced by a…

Statistical Mechanics · Physics 2015-06-04 L. Machura , J. Spiechowicz , J. Luczka

We analyze networked heterogeneous nonlinear systems, with diffusive coupling and interconnected over a generic static directed graph. Due to the network's hetereogeneity, complete synchronization is impossible, in general, but an emergent…

Optimization and Control · Mathematics 2022-06-01 Mohamed Maghenem , Elena Panteley , Antonio Loria

The topology transition problem of transmission networks is becoming increasingly crucial with topological flexibility more widely leveraged to promote high renewable penetration. This paper proposes a novel methodology to address this…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Tong Han , Yue Song , David J. Hill

Power system coherency refers to the phenomenon that machines in a power network exhibit similar frequency responses after disturbances, and is foundational for model reduction and control design. Despite abundant empirical observations,…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Yixuan Liu , Yingzhu Liu , Pengcheng You

We derive a monotonicity property for general, transient flows of a commodity transferred throughout a network, where the flow is characterized by density and mass flux dynamics on the edges with density continuity and mass balance…

Optimization and Control · Mathematics 2016-03-31 Anatoly Zlotnik , Sidhant Misra , Marc Vuffray , Michael Chertkov

We review modeling attempts for the paradigmatic contact process (or SIS model) on adaptive networks. Elaborating on one particular proposed mechanism of topology change (rewiring) and its mean field analysis, we obtain a coarse-grained…

Adaptation and Self-Organizing Systems · Physics 2013-03-05 Stefan Wieland , Andrea Parisi , Ana Nunes

Controlling heat flow at the quantum level is essential for the development of next-generation thermal devices. We investigate thermal rectification in a quantum harmonic oscillator coupled to two thermal baths via both single-photon…

Quantum Physics · Physics 2025-12-01 M. Tahir Naseem

A qubit-oscillator junction connecting as a series two bosonic heat baths at different temperatures can display heat valve and diode effects. In particular, the rectification can change in magnitude and even in sign, implying an inversion…

Quantum Physics · Physics 2025-07-15 Luca Magazzù , Elisabetta Paladino , Jukka P. Pekola , Milena Grifoni

We advance our approach of analyzing the dynamics of interacting complex systems with the nonlinear dynamics of interacting nonlinear elements. We replace the widely used lattice-like connection topology of cellular neural networks (CNN) by…

Neurons and Cognition · Quantitative Biology 2016-10-10 Henning Dickten , Christian E. Elger , Klaus Lehnertz

In this Letter, we show numerically that the rectifying effect of heat flux in a one-dimensional two-segment Frenkel-Kontorova chain demonstrated in recent literature is merely available under the limit of the weak coupling between the two…

Statistical Mechanics · Physics 2011-07-26 Bambi Hu , Lei Yang , Yong Zhang

Classical approaches for asymptotic convergence to the global average in a distributed fashion typically assume timely and reliable exchange of information between neighboring components of a given multi-component system. These assumptions…

Multiagent Systems · Computer Science 2013-02-25 Christoforos N. Hadjicostis , Themistoklis Charalambous

The dissipativity concept sits at the intersection of physics, systems theory, and control engineering, as a natural generalisation of passive systems that dissipate energy. It relates the external behavior of systems to their internal…

Optimization and Control · Mathematics 2024-10-28 Timothy H. Hughes , Edward H. Branford

We extensively explore networks of weakly unbalanced, leaky integrate-and-fire (LIF) neurons for different coupling strength, connectivity, and by varying the degree of refractoriness, as well as the delay in the spike transmission. We find…

Neurons and Cognition · Quantitative Biology 2018-12-14 Antonio Politi , Ekkehard Ullner , Alessandro Torcini

Complex networks exhibit a wide range of collective dynamic phenomena, including synchronization, diffusion, relaxation, and coordination processes. Their asymptotic dynamics is generically characterized by the local Jacobian, graph…

Physics and Society · Physics 2015-07-17 Carsten Grabow , Stefan Grosskinsky , Jürgen Kurths , Marc Timme

In this note, we discuss the problem of consensus finding in communication networks of agents with dynamically switching topologies. In particular, we consider the case of directed networks with unbalanced matrices of communication rates.…

Optimization and Control · Mathematics 2014-05-06 Jan Haskovec

We study lower large deviations for the current of totally asymmetric zero-range processes on a ring with concave current-density relation. We use an approach by Jensen and Varadhan which has previously been applied to exclusion processes,…

Statistical Mechanics · Physics 2021-07-21 Paul Chleboun , Stefan Grosskinsky , Andrea Pizzoferrato