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91.
Generalized reduced-order synchronization of chaotic system based on fast slide mode 总被引:1,自引:0,他引:1 下载免费PDF全文
A new kind of generalized reduced-order synchronization of different chaotic
systems is proposed in this paper. It is shown that dynamical evolution of
third-order oscillator can be synchronized with the canonical projection of
a fourth-order chaotic system generated through nonsingular states
transformation from a cell neural net chaotic system. In this sense, it is
said that generalized synchronization is achieved in reduced-order. The
synchronization discussed here expands the scope of reduced-order
synchronization studied in relevant literatures. In this way, we can achieve
generalized reduced-order synchronization between many famous chaotic
systems such as the second-order D\"{u}ffing system and the third-order
Lorenz system by designing a fast slide mode controller. Simulation results
are provided to verify the operation of the designed synchronization. 相似文献
92.
We study ergodic averages for a class of pseudodifferential operators on the flatN-dimensional torus with respect to the Schrödinger evolution. The later can be consider a quantization of the geodesic flow on
. We prove that, up to semi-classically negligible corrections, such ergodic averages are translationally invariant operators.Mathematics Subject Classifications (2000) 58J50, 58J40, 81S10. 相似文献
93.
Numerical analysis indicates that there exists an unexpected new ordered chaos for the bounded one-dimensional multibarrier
potential. For certain values of the number of barriers, repeated identical forms (periods) of the wavepackets result upon
passing through the multibarrier potential. 相似文献
94.
The dimensionless partial differential equations governing thedynamics of a thin flexible isotropic plate with an external load arederived and investigated. The period doubling bifurcations, as well asthe chaotic dynamics, are detected and analyzed. The algorithms leadingto the reduction of the original equations to those of a difference setof ordinary differential and algebraic equations are proposed, comparedto other known methods, and then applied to the problem.Among others, it is shown that, in spite of the system complexity, theFeigenbaum scenario exhibited by one-dimensional maps also governs theroute to chaos in the continuous system under consideration. 相似文献
95.
G. Benenti G. Casati S. Montangero D.L. Shepelyansky 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2003,22(2):285-293
We investigate the transition to quantum chaos, induced by static imperfections, for an operating quantum computer that simulates
efficiently a dynamical quantum system, the sawtooth map. For the different dynamical regimes of the map, we discuss the quantum
chaos border induced by static imperfections by analyzing the statistical properties of the quantum computer eigenvalues.
For small imperfection strengths the level spacing statistics is close to the case of quasi-integrable systems while above
the border it is described by the random matrix theory. We have found that the border drops exponentially with the number
of qubits, both in the ergodic and quasi-integrable dynamical regimes of the map characterized by a complex phase space structure.
On the contrary, the regime with integrable map dynamics remains more stable against static imperfections since in this case
the border drops only algebraically with the number of qubits.
Received 19 June 2002 / Received in final form 30 September 2002 Published online 17 Decembre 2002
RID="a"
ID="a"e-mail: dima@irsamc.ups-tlse.fr
RID="b"
ID="b"UMR 5626 du CNRS 相似文献
96.
A 'chaos expansion' of the intersection local time functional of two independent Brownian motions in R
d
is given. The expansion is in terms of normal products of white noise (corresponding to multiple Wiener integrals). As a consequence of the local structure of the normal products, the kernel functions in the expansion are explicitly given and exhibit clearly the dimension dependent singularities of the local time functional. Their L
p
-properties are discussed. An important tool for deriving the chaos expansion is a computation of the 'S-transform' of the corresponding regularized intersection local times and a control about their singular limit. 相似文献
97.
We introduce and analyze a simple probabilistic cellular automaton which emulates the flow of cars along a highway. Our Traffic CA captures the essential features of several more complicated algorithms, studied numerically by K. Nagel and others over the past decade as prototypes for the emergence of traffic jams. By simplifying the dynamics, we are able to identify and precisely formulate the self-organized critical evolution of our system. We focus here on the Cruise Control case, in which well-spaced cars move deterministically at maximal speed, and we obtain rigorous results for several special cases. Then we introduce a symmetry assumption that leads to a two-parameter model, described in terms of acceleration () and braking () probabilities. Based on the results of simulations, we map out the (, ) phase diagram, identifying three qualitatively distinct varieties of traffic which arise, and we derive rigorous bounds to establish the existence of a phase transition from free flow to jams. Many other results and conjectures are presented. From a mathematical perspective, Traffic CA provides local, particle-conserving, one-dimensional dynamics which cluster, and converge to a mixture of two distinct equilibria. 相似文献
98.
H. A. Batarfi S. S. Hassan R. Saunders R. K. Bullough 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2000,8(3):417-429
Linear stability analysis and (numerical) investigation of the periodic and chaotic self-pulsing behaviour are presented for
the Maxwell-Bloch equations of a bistable model in contact with a squeezed vacuum field. Effect of the squeeze phase parameter
on the period doubling bifurcation that preceeds chaos is examined for the adiabatic and non-adiabatic regimes. 相似文献
99.
100.
外光反馈下的半导体激光器可视为混沌载波发射机.数值研究发现,外部强光注入可以显著提高混沌载波发射机的带宽,带宽提高的程度在一定范围内与注入光的强度成正比.当外部光注入系数kinj=0.39时,混沌载波的带宽由无光注入时的2.7GHz增大到14.5GHz,提高了5倍多.研究还发现,在相同的注入强度条件下,当注入光的频率比半导体激光器的中心频率高2—4GHz时,可实现最大限度的带宽增强.此外,适当提高半导体激光器的偏置电流也可以在一定程度上提高其产生的混沌载波的带宽.
关键词:
半导体激光器
混沌
带宽 相似文献