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1.
F. Borgonovi G. L. Celardo R. Trasarti-Battistoni 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,50(1-2):27-31
Quantum characteristics of the Topological
Non-connectivity Threshold (TNT),
introduced in
[F. Borgonovi, G.L. Celardo, M. Maianti, E. Pedersoli,
J. Stat. Phys. 116, 516 (2004)],
have been analyzed in the hard quantum regime.
New interesting perspectives in term of the possibility
to study the intriguing quantum-classical transition through
Macroscopic Quantum Tunneling have been addressed. 相似文献
2.
R. Trasarti-Battistoni F. Borgonovi G. L. Celardo 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,50(1-2):69-72
We review, with emphasis on the dynamical point of view,
the classical characteristics of
the Topological Nonconnectivity Threshold (TNT),
recently introduced in
F. Borgonovi, G.L. Celardo, M. Maianti and E. Pedersoli,
J. Stat. Phys. 116, 1435 (2004).
This shows interesting connections among
Topology, Dynamics, and Thermo-Statistics of
ferro/paramagnetic phase transition in classical spin systems,
due to the combined effect of anisotropy and long-range interactions. 相似文献
3.
Shihong Wang Junzhong Yang 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,56(1):81-92
Generalized synchronization in a drive-response Chua circuits is investigated. A cascade of transitions to GS is observed
with increasing the interaction strength. The mechanism on the
transitions to GS is given based on the asymptotic behaviors of response dynamics. 相似文献
4.
V.I. Nekorkin M.L. Voronin M.G. Velarde 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,9(3):533-543
We study the dynamics of an assembly of globally coupled bistable elements. We show that bistability of elements results in some new features of clustering in the assembly when there is global coupling. We provide conditions for the existence of stable amplitude-phase clusters and splay-phase states.
Received 12 June 1998 and Received in final form 30 November 1998 相似文献
5.
Spatial orders appearing at instabilities of synchronous chaos of spatiotemporal systems 总被引:1,自引:0,他引:1
Shihong Wang Jinghua Xiao Xingang Wang Bambi Hu Gang Hu 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,30(4):571-575
Various spatial orders introduced by the instabilities of synchronous chaotic state of spatiotemporal systems are investigated
by considering coupled map lattice and chaotic partial differential equation. In particular, the motions of on-off intermittent
states at the onset of the instabilities are studied in detail. The chaotic desynchronized patterns can be described by a
simple universal form, including three parts: the synchronous chaos; a spatially ordered pattern, determined by the unstable
mode of the reference synchronous chaos; and on-off intermittency of the scale of this given pattern.
Received 31 July 2002 / Received in final form 20 November 2002 Published online 31 December 2002 相似文献
6.
V.I. Nekorkin V.B. Kazantsev M.G. Velarde 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,16(1):147-155
The dynamics of a system composed of two nonlinearly coupled, drastically different nonlinear and eventually oscillatory elements
is studied. The rich variety of attractors of the system is studied with the help of phase space analysis and Poincare maps.
Received 19 March 1999 and Received in final form 1 November 1999 相似文献
7.
R. Tonelli M. Coraddu 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,50(1-2):355-359
This paper compares three different types of “onset of chaos”
in the logistic and generalized logistic map: the Feigenbaum attractor
at the end of the period doubling bifurcations; the tangent bifurcation at the
border of the period three window; the transition to chaos in the generalized logistic
with inflection 1/2 (xn+1 = 1-μxn1/2), in which
the main bifurcation cascade, as well as
the bifurcations generated by the periodic windows in the chaotic region,
collapse in a single point.
The occupation number and the Tsallis entropy are studied.
The different regimes of convergence to the attractor,
starting from two kinds of far-from-equilibrium initial conditions,
are distinguished by the presence or absence of log-log
oscillations, by different power-law scalings and by a gap in the
saturation levels.
We show that the escort distribution
implicit in the Tsallis entropy may tune
the log-log oscillations or the crossover times. 相似文献
8.
L.G.G.V. Dias da Silva M.A.M. de Aguiar 《The European Physical Journal B - Condensed Matter and Complex Systems》2000,16(4):719-728
We propose a simple method to calculate periodic orbits in two-dimensional systems with no symbolic dynamics. The method is
based on a line by line scan of the Poincaré surface of section and is particularly useful for billiards. We have applied
it to the Square and Sinai's billiards subjected to a uniform orthogonal magnetic field and we obtained about 2000 orbits
for both systems using absolutely no information about their symbolic dynamics.
Received 21 September 1999 and Received in final form 13 April 2000 相似文献
9.
H. Nakao Y. Kuramoto 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,11(2):345-360
Multi-scaling properties in quasi-continuous arrays of chaotic maps driven by long-wave random force are studied. The spatial
pattern of the amplitude X(x,t) is characterized by multi-affinity, while the field defined by its coarse-grained spatial derivative exhibits multi-fractality. The strong behavioral similarity of the X- and Y-fields respectively to the velocity and energy dissipation fields in fully-developed fluid turbulence is remarkable, still
our system is unique in that the scaling exponents are parameter-dependent and exhibit nontrivial q-phase transitions. A theory based on a random multiplicative process is developed to explain the multi-affinity of the X-field, and some attempts are made towards the understanding of the multi-fractality of the Y-field.
Received 16 November 1998 相似文献
10.
M. Ponce C. C. Masoller Arturo C. Martí 《The European Physical Journal B - Condensed Matter and Complex Systems》2009,67(1):83-93
We study a network of coupled logistic maps whose interactions occur with a certain distribution of delay times. The local
dynamics is chaotic in the absence of coupling and thus the network is a paradigm of a complex system. There are two regimes
of synchronization, depending on the distribution of delays: when the delays are sufficiently heterogeneous the network synchronizes
on a steady-state (that is unstable for the uncoupled maps); when the delays are homogeneous, it synchronizes in a time-dependent
state (that is either periodic or chaotic). Using two global indicators we quantify the synchronizability on the two regimes,
focusing on the roles of the network connectivity and the topology. The connectivity is measured in terms of the average number
of links per node, and we consider various topologies (scale-free, small-world, star, and nearest-neighbor with and without
a central hub). With weak connectivity and weak coupling strength, the network displays an irregular oscillatory dynamics
that is largely independent of the topology and of the delay distribution. With heterogeneous delays, we find a threshold
connectivity level below which the network does not synchronize, regardless of the network size. This minimum average number
of neighbors seems to be independent of the delay distribution. We also analyze the effect of self-feedback loops and find
that they have an impact on the synchronizability of small networks with large coupling strengths. The influence of feedback,
enhancing or degrading synchronization, depends on the topology and on the distribution of delays. 相似文献
11.
L. Wang H. P. Dai H. Dong Y. Y. Cao Y. X. Sun 《The European Physical Journal B - Condensed Matter and Complex Systems》2008,61(3):335-342
This paper considers the problem of controlling
weighted complex dynamical networks by applying adaptive control
to a fraction of network nodes. We investigate the local and
global synchronization of the controlled dynamical network through
the construction of a master stability function and a Lyapunov
function. Analytical results show that a certain number of nodes
can be controlled by using adaptive pinning to ensure the
synchronization of the entire network. We present numerical
simulations to verify the effectiveness of the proposed scheme. In
comparison with feedback pinning, the proposed pinning control
scheme is robust when tested by noise, different weighting and
coupling structures, and time delays. 相似文献
12.
S.C. Manrubia U. Bastolla A.S. Mikhailov 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,23(4):497-508
Systems of globally coupled logistic maps (GCLM) can display complex collective behaviour characterized by the formation of
synchronous clusters. In the dynamical clustering regime, such systems possess a large number of coexisting attractors and
might be viewed as dynamical glasses. Glass properties of GCLM in the thermodynamical limit of large system sizes N are investigated. Replicas, representing orbits that start from various initial conditions, are introduced and distributions
of their overlaps are numerically determined. We show that for fixed-field ensembles of initial conditions all attractors
of the system become identical in the thermodynamical limit up to variations of order 1/, and thus replica symmetry is recovered for N→∞. In contrast to this, when fluctuating-field ensembles of initial conditions are chosen, replica symmetry remains broken
in the thermodynamical limit.
Received 9 July 2001 相似文献
13.
B. Wang T. Zhou Z. L. Xiu B. J. Kim 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,60(1):89-95
We numerically investigate how to enhance
synchronizability of coupled identical oscillators in complex
networks with research focus on the roles of the high level of
clustering for a given heterogeneity in the degree distribution.
By using the edge-exchange method with the fixed degree sequence, we
first directly maximize synchronizability measured by the
eigenratio of the coupling matrix, through the use of the so-called
memory tabu search algorithm developed in applied mathematics. The
resulting optimal network, which turns out to be weakly
disassortative, is observed to exhibit a small modularity. More
importantly, it is clearly revealed that the optimally
synchronizable network for a given degree sequence shows a very low
level of clustering, containing much fewer small-size loops than the
original network. We then use the clustering coefficient as an
object function to be reduced during the edge exchanges, and find it
a very efficient way to enhance synchronizability. We thus
conclude that under the condition of a given degree heterogeneity,
the clustering plays a very important role in the network synchronization. 相似文献
14.
Synchronization of fractional-order nonlinear systems has received considerable attention for many research activities in recent years. In this Letter, we consider the synchronization between two nonidentical fractional-order systems. Based on the open-plus-closed-loop control method, a general coupling applied to the response system is proposed for synchronizing two nonidentical incommensurate fractional-order systems. We also derive a local stability criterion for such synchronization behavior by utilizing the stability theory of linear incommensurate fractional-order differential equations. Feasibility of the proposed coupling scheme is illustrated through numerical simulations of a limit cycle system, a chaotic system and a hyperchaotic system. 相似文献
15.
V. I. Nekorkin V. B. Kazantsev D. V. Artyuhin M. G. Velarde 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,11(4):677-685
A fiber-like lattice with resistively coupled electronic elements mimicking a 1-D discrete reaction-diffusion system is considered.
The chosen unit or element in the fiber is the paradigmatic Chua's circuit, capable of exhibiting bistable, excitable, oscillatory
or chaotic behavior. Then the dynamics of a structure of two such interacting parallel active fibers is studied. Suitable
conditions for the interaction to yield synchronization and other forms of collective behavior involving both fibers are obtained.
They include wave front propagation, pulse reentry and pulse propagation failure, overcoming of propagation failure, and the
appearance of a source of synchronized pulses. The possibility of designing controlled dynamic contacts by means of one or a few inter-fiber couplings is also discussed.
Received 12 December 1998 相似文献
16.
Using a slightly simplified version of the integrate and fire model of a neural network with delay, I study the stability
of the phase-locked state dependent on the coupling between the neurons and especially on a delay time. The coupling between
neurons may be arbitrary. It is shown that the phase-locked state becomes less stable with increasing delay and that relaxation
oscillations occur.
Received 28 December 1999 and Received in final form 13 June 2000 相似文献
17.
Ying Zhang Gang Hu Shigang Chen H.A. Cerdeira 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,27(3):381-384
A method of controlling global stochasticity in Hamiltonian systems by applying nonlinear perturbation is proposed. With the
well-known standard map we demonstrate that this control method can convert global stochasticity into regular motion in a
wide chaotic region for arbitrary initial condition, in which the control signal remains very weak after a few kicks. The
system in which chaos has been controlled approximates to the original Hamiltonian system, and this approach appears robust
against small external noise. The mechanism underlying this high control efficiency is intuitively explained.
Received 15 January 2002 Published online 6 June 2002 相似文献
18.
R. Ramaswamy 《The European Physical Journal B - Condensed Matter and Complex Systems》2002,29(2):339-343
Integrable dynamical systems, namely those having as many independent conserved quantities as freedoms, have all Lyapunov
exponents equal to zero. Locally, the instantaneous or finite time Lyapunov exponents are nonzero, but owing to a symmetry,
their global averages vanish. When the system becomes nonintegrable, this symmetry is broken. A parallel to this phenomenon
occurs in mappings which derive from quasiperiodic Schr?dinger problems in 1-dimension. For values of the energy such that
the eigenstate is extended, the Lyapunov exponent is zero, while if the eigenstate is localized, the Lyapunov exponent becomes
negative. This occurs by a breaking of the quasiperiodic symmetry of local Lyapunov exponents, and corresponds to a breaking
of a symmetry of the wavefunction in extended and critical states.
Received 25 October 2001 / Received in final form 8 December 2001 Published online 2 October 2002
RID="a"
ID="a"e-mail: r.ramaswamy@mail.jnu.ac.in 相似文献
19.
20.
D. Q. Li M. H. Li J. S. Wu Z. R. Di Y. Fan 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,57(4):423-428
In weighted networks, redistribution of link weights can
effectively change the properties of networks, even though the corresponding binary topology remains unchanged. In this paper,
the effects of weight randomization on synchronization of coupled chaotic maps is investigated on regular weighted networks.
The results reveal that synchronizability is enhanced by redistributing of link weights, i.e. coupled maps reach complete
synchronization with lower cost. Furthermore, we show numerically that the
heterogeneity of link weights could improve the complete synchronization on regular weighted networks. 相似文献