Collective behavior of a nearest neighbor coupled system in a dichotomous fluctuating potential

Author(s):  
Lu Zhang ◽  
Ling Xu ◽  
Tao Yu ◽  
Li Lai ◽  
Suchuan Zhong
2010 ◽  
Vol 2010 ◽  
pp. 1-10 ◽  
Author(s):  
Chunrui Zhang ◽  
Huifeng Zheng

Dynamic properties are investigated in the coupled system of three maps with symmetric nearest neighbor coupling and periodic boundary conditions. The dynamics of the system is controlled by certain coupling parameters. We show that, for some values of the parameters, the system exhibits nontrivial collective behavior, such as multiple bifurcations, and chaos. We give computer simulations to support the theoretical predictions.


2019 ◽  
Vol 30 (4) ◽  
pp. 968-974 ◽  
Author(s):  
Alexander D M Wilson ◽  
Alicia L J Burns ◽  
Emanuele Crosato ◽  
Joseph Lizier ◽  
Mikhail Prokopenko ◽  
...  

Abstract Animal groups are often composed of individuals that vary according to behavioral, morphological, and internal state parameters. Understanding the importance of such individual-level heterogeneity to the establishment and maintenance of coherent group responses is of fundamental interest in collective behavior. We examined the influence of hunger on the individual and collective behavior of groups of shoaling fish, x-ray tetras (Pristella maxillaris). Fish were assigned to one of two nutritional states, satiated or hungry, and then allocated to 5 treatments that represented different ratios of satiated to hungry individuals (8 hungry, 8 satiated, 4:4 hungry:satiated, 2:6 hungry:satiated, 6:2 hungry:satiated). Our data show that groups with a greater proportion of hungry fish swam faster and exhibited greater nearest neighbor distances. Within groups, however, there was no difference in the swimming speeds of hungry versus well-fed fish, suggesting that group members conform and adapt their swimming speed according to the overall composition of the group. We also found significant differences in mean group transfer entropy, suggesting stronger patterns of information flow in groups comprising all, or a majority of, hungry individuals. In contrast, we did not observe differences in polarization, a measure of group alignment, within groups across treatments. Taken together these results demonstrate that the nutritional state of animals within social groups impacts both individual and group behavior, and that members of heterogenous groups can adapt their behavior to facilitate coherent collective motion.


2005 ◽  
Vol 77 (1) ◽  
pp. 291-311 ◽  
Author(s):  
Parag Acharya ◽  
Jyoti Chattopadhyaya

The generation of a single anionic or cationic center at an alkaline or acidic pH in a given molecule presents a unique opportunity to examine the electrostatic make-up of these molecules both at the neutral or ionic state. The generation of a single cationic center in the phenyl-nicotinamide system provided new straightforward evidence showing that the charge density of the electron-deficient pyridinium was actually enhanced by the donation of the charge from the electron-rich phenyl group (i.e., the pyridinyl became more basic by ca. 0.5 pKa unit compared to an analogous system where phenyl was absent) owing to the electrostatic interactions between these two moieties. On the other hand, the generation of the 5'-guanylate ion in the hexameric single-strand (ss) RNA [5'-GAAAAC-3'], in comparison with the constituent trimeric, tetrameric, and pentameric-ssRNAs, has unequivocally shown how far the electrostatic cross-talk (as an interplay of Coulombic attractive or repulsive forces) in this electronically coupled system propagates through the intervening pAp nucleotide steps until the terminal pC-3' residue in comparison with the neutral counterpart. The footprint of the propagation of this electrostatic cross-talk among the neighboring nucleobases is evident by measurement of pKas from the marker protons of ionization point (i.e., of G) as well as from the neighboring marker protons (i.e., of A or C) in the vicinity, as well as from the change of the chemical environment (i.e., chemical shifts) around their aromatic marker protons (δH2, δH8, δH5, and δH6) owing to a change of the stacking-destacking equilibrium as a function of pH.


2006 ◽  
Vol 20 (30n31) ◽  
pp. 5219-5223 ◽  
Author(s):  
L. F. CUGLIANDOLO ◽  
G. S. LOZANO ◽  
H. F. LOZZA

We study the zero-temperature critical behavior of dissipative quantum Ising spin chains of finite and infinite length. The spins interact with either constant or random nearest-neighbor ferro-magnetic couplings. They are also subject to a transverse field and coupled to an Ohmic bath of quantum harmonic oscillators. We analyze the coupled system performing Monte Carlo simulations on a classical two-dimensional counterpart model. We find that the coupling to the bath enhances the extent of the ordered phase, as it is known for mean-field spin-glass models. In the case of finite chains we show that a generalization of the Caldeira-Leggett localization transition exists.


Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
M. G. Cosenza ◽  
O. Alvarez-Llamoza ◽  
A. V. Cano

We show that dynamical clustering, where a system segregates into distinguishable subsets of synchronized elements, and chimera states, where differentiated subsets of synchronized and desynchronized elements coexist, can emerge in networks of globally coupled robust-chaos oscillators. We describe the collective behavior of a model of globally coupled robust-chaos maps in terms of statistical quantities and characterize clusters, chimera states, synchronization, and incoherence on the space of parameters of the system. We employ the analogy between the local dynamics of a system of globally coupled maps with the response dynamics of a single driven map. We interpret the occurrence of clusters and chimeras in a globally coupled system of robust-chaos maps in terms of windows of periodicity and multistability induced by a drive on the local robust-chaos map. Our results show that robust-chaos dynamics does not limit the formation of cluster and chimera states in networks of coupled systems, as it had been previously conjectured.


Author(s):  
Andrew B. Sabater ◽  
Jeffrey F. Rhoads

Examples of coupled resonator and oscillator arrays in engineering, scientific and mathematical contexts are diverse and abundant. However, when the technical scope is limited to mechanical systems, research typically focuses on arrays of resonators in which the coupling between the sub-units is conservative and nearest-neighbor in nature. In these arrays, if the sub-units are nominally identical, and the coupling is weak, collective behaviors such as localization, the spatial confinement of energy in distinct or limited regions, can be observed. In contrast, if the coupling is global and dissipative, very different collective dynamics are observed, namely, group resonance, confined attenuation, and group attenuation, the latter two of which are associated with the local absence of energy. This paper investigates these dynamic phenomena within the context of a generic, globally-, dissipatively-coupled system, which is motivated by recent work related to electromagnetically-coupled microresonator arrays. The results of this work have direct applicability in new single-input, single-output resonant mass sensors, and, with extension, a variety of other sensing and signal processing applications.


2001 ◽  
Vol 11 (12) ◽  
pp. 3137-3143 ◽  
Author(s):  
ZONGHUA LIU ◽  
BAMBI HU

We study the collective behavior of a 2D network of nonidentical oscillators in the chaotic regime and find that ordered phase can emerge in the collective behavior, due to mutual coupling. The resulting phase cluster is a frequency-locking. The configuration of pattern depends on time and can be divided into several phase clusters when coupling is over some threshold. The frequency-locked spatiotemporal patterns are determined by the mismatched parameter and the coupling strength, and its regularity can be measured by an average nearest-neighbor distance.


Author(s):  
J. M. Oblak ◽  
W. H. Rand

The energy of an a/2 <110> shear antiphase. boundary in the Ll2 expected to be at a minimum on {100} cube planes because here strue ture is there is no violation of nearest-neighbor order. The latter however does involve the disruption of second nearest neighbors. It has been suggested that cross slip of paired a/2 <110> dislocations from octahedral onto cube planes is an important dislocation trapping mechanism in Ni3Al; furthermore, slip traces consistent with cube slip are observed above 920°K.Due to the high energy of the {111} antiphase boundary (> 200 mJ/m2), paired a/2 <110> dislocations are tightly constricted on the octahedral plane and cannot be individually resolved.


Author(s):  
S. R. Herd ◽  
P. Chaudhari

Electron diffraction and direct transmission have been used extensively to study the local atomic arrangement in amorphous solids and in particular Ge. Nearest neighbor distances had been calculated from E.D. profiles and the results have been interpreted in terms of the microcrystalline or the random network models. Direct transmission electron microscopy appears the most direct and accurate method to resolve this issue since the spacial resolution of the better instruments are of the order of 3Å. In particular the tilted beam interference method is used regularly to show fringes corresponding to 1.5 to 3Å lattice planes in crystals as resolution tests.


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