The phenomenon of chimera states in the systems coupled, identical oscillators has attracted a great deal recent theoretical and experimental interest. In such state, different groups can exhibit coexisting synchronous incoherent behaviors despite homogeneous coupling. Here, considering coupled pendula, we find another pattern, so-called imperfect which is characterized by certain number escape from synchronized chimera's cluster or behave differently than most uncorrelated pendula. escaped...

In this paper, we describe a periodically-forced oscillator with spatially-periodic damping. This system has an infinite number of coexisting nested attractors, including limit cycles, attracting tori, and strange attractors. We are aware no similar example in the literature.

In this paper, the phenomena of hysteretic behaviour friction force observed during experiments are discussed. On basis experimental and theoretical analyses, we argue that such can be considered as a representation system dynamics. According to approach, classification models, with respect their sensitivity on motion characteristic, is introduced. General modelling accompanying dry simple yet effective approach capture effect proposed. Finally, results compared numerical simulations for...

In this letter we discuss properties of hyperchaotic attractors unidirectionally-coupled Chua’s circuits. Results from chaos synchronization theory allowed us to observe chaos-hyperchaos transition on 3D projections the attractor.

We show that two identical chaotic systems can be synchronized by applying a method of continuous chaos control. The presented is especially useful for higher-dimensional systems.Received 15 March 1994DOI:https://doi.org/10.1103/PhysRevE.50.1642©1994 American Physical Society

Recently, many rare chaotic systems have been found including with no equilibria. However, it is surprising that such a system can exhibit multiscroll sea. In this paper, novel no-equilibrium hidden sea introduced. Besides having sea, has two more interesting properties. Firstly, conservative (which feature in three-dimensional flows) but not Hamiltonian. Secondly, coexisting set of nested tori. There torus which coexists the This new investigated through numerical simulations as phase...

We discuss the mechanism leading to multistability in externally excited van der Pol–Duffing oscillator. It has been shown that (the sequence of bifurcations) phase coupled oscillators is same as bistability single

A new 3-D chaotic system with infinitely many equilibria is proposed in this brief. It exciting that these equilibrium points are located on a rounded square loop. Dynamical properties and the circuit implementation of studied reported.

We report different types of chimera states in the Kuramoto model with inertia. They arise on route from coherence, via so-called solitary states, to rotating waves. identify wide region parameter space, which a type state, i.e., imperfect is characterized by certain number oscillators that have escaped synchronized chimera's cluster, appears. describe mechanism for creation appearance states. Our findings reveal represent characteristic spatiotemporal patterns at transition coherence incoherence.

Networks of identical oscillators with inertia can display remarkable spatiotemporal patterns in which one or a few split off from the main synchronized cluster and oscillate different averaged frequency. Such “solitary states” are impossible for classical Kuramoto model sinusoidal coupling. However, if is introduced, these states represent solid part system dynamics, where each solitary state characterized by number isolated their disposition space. We present parameter regions existence...

Abstract The stability of synchronised networked systems is a multi-faceted challenge for many natural and technological fields, from cardiac neuronal tissue pacemakers to power grids. For these, the ongoing transition distributed renewable energy sources leads proliferation dynamical actors. desynchronisation few or even one those would likely result in substantial blackout. Thus synchronous state has become leading topic grid research. Here we uncover that, when taking into account...

The action of wind and waves has a significant effect on the ship’s roll, which can be source chaos even capsize. influence random wave excitation is considered in order to investigate complex dynamic behavior by analytical numerical methods. Chaotic rolling motions are theoretically studied detail means relevant Melnikov method with or without noise excitation. Numerical simulations used verify analyze appropriate parameter conditions. results show that changing parameters amplitude...

In this letter we report experimental observation of hyperchaotic attractors in open and closed chains Chua's circuits.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>