Memristors are gaining increasing attention as next generation electronic devices. They also becoming commonly used fundamental blocks for building chaotic circuits, although often arbitrary (typically piece-wise linear or cubic) flux-charge characteristics assumed. In this paper, a circuit based on the mathematical realistic model of HP memristor is introduced. The makes use two memristors in antiparallel. Numerical results showing some attractors generated by and behavior with respect to...

We address the problem of how survival cooperation in a social system depends on motion individuals. Specifically, we study model which prisoner's dilemma players are allowed to move two-dimensional plane. Our results show that can survive such provided both temptation defect and velocity at agents not too high. Moreover, when these conditions fulfilled, only asymptotic state is all cooperators. might have implications for design cooperative strategies coordination other applications...

We consider a set of mobile agents in two dimensional space, each one them carrying chaotic oscillator, and discuss the related synchronization issues under framework time-variant networks. In particular, we show that, as far time scale for motion is much shorter than that associated dynamical systems, global behavior can be characterized by scaled all-to-all Laplacian matrix, conditions depend on agent density plane.

Chimera states, that is, dynamical regimes characterized by the existence of a symmetry-broken solution where coherent domain and an incoherent one coexist, have been theoretically demonstrated numerically found in networks homogeneously coupled identical oscillators. In this work we experimentally investigate behavior closed open chain electronic circuits with neuron-like spiking dynamics first neighbor connections. Experimental results show onset regime call chimera states quiescent...

We study phase synchronization in a network motif with starlike structure which the central node's (the hub's) frequency is strongly detuned against other peripheral nodes. find numerically and experimentally regime of remote (RS), where nodes form synchronized cluster, while hub remains free its own dynamics serves just as transmitter for explain mechanism this RS by existence amplitude also show that systems fixed or constant amplitude, such classic Kuramoto oscillator, are not able to...

Chimera states have been recently found in a variety of different coupling schemes and geometries. In most cases, the underlying structure is considered to be static, while many realistic systems display significant temporal changes pattern connectivity. this work we investigate time-varying network made two coupled populations Kuramoto oscillators, where links between groups are vary over time. As main result find that may support stable, breathing, alternating chimera states. We also that,...

The realization of integrated devices determines unavoidable imperfections which are linked to the manufacturing process, thus making them imperfect systems. Imperfection is not always detrimental, as it can lead unexpected complex and organized behaviors. In this paper we explore possibility designing electronic circuits producing a chaotic flow with bandwidth up order several megahertz thanks hidden dynamics induced by construction imperfections, whose characteristics be tuned means single...

We study the effect of motion on disease spreading in a system random walkers which additionally perform long-distance jumps. A small percentage jumps agent is sufficient to destroy local correlations and produce large drop epidemic threshold, that we explain terms mean-field approximation. This similar crossover found static small-world networks, can be furthermore linked structural properties dynamical network interactions.

This paper investigates the problem of design and implementation time-delay chaotic circuits. A simple feedback scheme consisting a nonlinearity, first-order RC circuit delay block has been fixed procedure to characteristics these blocks in order obtain dynamics introduced. series <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</i> Bessel filters cascade is used implement time-delay. The suitability approach demonstrated with an example: new...

This work deals with the design of chaotic circuits based on memristors modeled as in [Strukov et al., 2008]. physical model has capability capturing behavior TiO 2 memristor fabricated HP laboratories and, thus, is representative real devices. We propose a configuration two such antiparallel nonlinear element for oscillators and discuss series derived from Chua's by replacing diodes element.

A configuration of two memristors connected with opposite polarity is proposed to realize an adaptive law for consensus and synchronization. This allows one couple systems so that the memristor memory variables regulate coupling strength dynamically evolve as a function mismatches between units. physical-based model capturing main feature TiO <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> used our study. Adaptive integrators...

A dynamical network (consisting of a time-evolving wiring interactions among group random walkers) is introduced to model the spread an infectious disease in population mobile individuals. We investigate main properties this model, and show that peculiar features arise when individuals are allowed perform long-distance jumps. Such peculiarities captured conveniently quantified by series appropriate parameters able highlight structural differences emerging networks jumps combined with local...

Memristors are gaining increasing interest in the scientific community for their possible applications, e.g. high-speed low-power processors or new biological models associative memories. Due to intrinsic nonlinear characteristic of memristive devices, it is use them design dynamical circuits that able show complex behavior, like chaos. In this paper, two chaotic presented discussing, particular, an approach based on Cellular Nonlinear Networks implementation device. The investigated paper...

In this paper the dynamical network model of interactions within a group mobile robots is investigated and proposed as possible strategy for controlling without central coordination. Motivated by results analysis our simple model, we show that system performance in presence noise can be improved including long-range connections between robots. Finally, suitable based on to control exploration transport introduced.

Memristive systems have appeared in various application fields from nonvolatile memory devices and biological structures to chaotic circuits. In this paper, we propose two nonlinear circuits based on memristive the presence of delay, i.e. which state memristor depends time-delay. Both can exhibit behavior and, notably, second model, only a capacitor are required obtain chaos.

The formation of ordered structures, in particular Turing patterns, complex spatially extended systems has been observed many different contexts, spanning from natural sciences (chemistry, physics, and biology) to technology (mechanics electronics). In this paper, it is shown that the use memristors a simple cell spatially-extended circuit architecture allows us design able generate patterns. addition, memristor parameters play key role selection type characteristics emerging pattern, which...

Resilience of power grids is a problem tremendous practical and theoretical relevance. In this work, we model grid as complex network coupled oscillators. We investigate the robustness synchronization, associated with normal operating regime network, to partial malfunctioning nodes. Differently from previous efforts on resilience, node not modeled by removing network. Instead, insert continuous perturbation into dynamical equation, which reduces degree synchronization This framework enables...

In this Letter, we introduce the concept of spatial pinning control for a network mobile chaotic agents. planar space, $N$ agents move as random walkers and interact according to time-varying $r$-disk proximity graph. A input is applied only those which enter given area, called region. The effective in driving all reference evolution has better performance than on fixed set We derive analytical conditions relative size region agent density global convergence system study under different...