共查询到20条相似文献,搜索用时 15 毫秒
1.
E. V. Kal’yanov 《Technical Physics》2012,57(3):315-319
The influence of the asymmetry of the nonlinear element characteristic on the chaotic oscillations of Chua’s bistable oscillator
is studied. It is shown that such asymmetry causes asymmetry of a chaotic attractor that maps the switching of motions between
two basins of attraction up to the concentration of oscillations in one basin. Oscillation control in a bistable chaotic self-oscillating
system (two coupled Chua’s oscillators) is considered. It is demonstrated that oscillations excited in two basins of attraction
may pass to one of them and that oscillations may build up in two basins when they are autonomously excited in different basins.
It is also found that chaotic oscillations in a coupled system may be excited at parameter values for which the autonomous
chaotic oscillations of partial oscillators are absent. The influence of external noiselike oscillations is investigated. 相似文献
2.
D. G. Zakharov Ya. I. Mol’kov M. M. Sushchik 《Radiophysics and Quantum Electronics》1998,41(12):1037-1041
The results of analysis of the periodic solutions obtained within the framework of complete and truncated equations for a
system of identical Van-der-Pol-Duffing oscillators with nonlinear coupling are compared.
This work was presented at the Summer Workshop “Dynamic Days” (Nizhny Novgorod, June 30–July 2, 1998).
Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, Russia. Translated from Izvestiya Vysshikh
Uchebnykh Zavedenii, Radiofizika, Vol. 41, No. 12, pp. 1531–1536, December, 1998. 相似文献
3.
V. V. Matrosov V. D. Shalfeev D. V. Kasatkin 《Radiophysics and Quantum Electronics》2006,49(5):406-414
We discuss the problems of generation of chaotically modulated oscillations in small ensembles of coupled self-excited oscillators
with phase control. Special attention is paid to analyzing the regions of generation of chaotic oscillations in parameter
space. It is shown that transition to collective dynamics allows us to efficiently solve the problem of generation of chaotically
modulated oscillations in a sufficiently wide parameter-space region.
__________
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 49, No. 5, pp. 448–457, May 2006. 相似文献
4.
Synaptically coupled neurons show in-phase or antiphase synchrony depending on the chemical and dynamical nature of the synapse. Deterministic theory helps predict the phase differences between two phase-locked oscillators when the coupling is weak. In the presence of noise, however, deterministic theory faces difficulty when the coexistence of multiple stable oscillatory solutions occurs. We analyze the solution structure of two coupled neuronal oscillators for parameter values between a subcritical Hopf bifurcation point and a saddle node point of the periodic branch that bifurcates from the Hopf point, where a rich variety of coexisting solutions including asymmetric localized oscillations occurs. We construct these solutions via a multiscale analysis and explore the general bifurcation scenario using the lambda-omega model. We show for both excitatory and inhibitory synapses that noise causes important changes in the phase and amplitude dynamics of such coupled neuronal oscillators when multiple oscillatory solutions coexist. Mixed-mode oscillations occur when distinct bistable solutions are randomly visited. The phase difference between the coupled oscillators in the localized solution, coexisting with in-phase or antiphase solutions, is clearly represented in the stochastic phase dynamics. 相似文献
5.
The decoherence process characterized by Loschmidt echo (LE) in a two-level system dephasingly coupled to a fermion environment with phase transitions is studied in this Letter. The results show that the LE of the two-level system may act as a witness of the environment's phase transitions, which is similar to the relation between quantum phase transitions and the LE. 相似文献
6.
We present an experiment of observing the geometric phase in a superconducting circuit where the resonator and the qutrit energy levels are dispersively coupled. The drive applied to the resonator displaces its state components associated with the qutrit's ground state and first-excited state along different circular trajectories in phase space. We identify the resonator's phase-space trajectories by Wigner tomography using an ancilla qubit, following which we observe the difference between the geometric phases associated with these trajectories using Ramsey interferometry. This geometric phase is further used to construct the single-qubit π-phase gate with a process fidelity of 0.851 ± 0.001. 相似文献
7.
8.
9.
Di Yuan Jun-Long Tian Fang Lin Dong-Wei Ma Jing Zhang Hai-Tao Cui Yi Xiao 《Frontiers of Physics》2018,13(3):130504
In this study we investigate the collective behavior of the generalized Kuramoto model with an external pinning force in which oscillators with positive and negative coupling strengths are conformists and contrarians, respectively. We focus on a situation in which the natural frequencies of the oscillators follow a uniform probability density. By numerically simulating the model, it is shown that the model supports multistable synchronized states such as a traveling wave state, π state and periodic synchronous state: an oscillating π state. The oscillating π state may be characterized by the phase distribution oscillating in a confined region and the phase difference between conformists and contrarians oscillating around π periodically. In addition, we present the parameter space of the oscillating π state and traveling wave state of the model. 相似文献
10.
The adiabatic geometric phase is calculated in a coupled two quantum dot system, which is entangled through Förster interaction. This phase is then utilized for implementing basic quantum logic gate operation useful in quantum information processing. Such gates based on geometric phase provide fault-tolerant quantum computing. 相似文献
11.
12.
A detailed study of a generic model exhibiting new type of mixed-mode oscillations is presented. Period doubling and various period adding sequences of bifurcations are observed. New type of a family of 1D (one-dimensional) return maps is found. The maps are discontinuous at three points and consist of four branches. They are not invertible. The model describes in a qualitative way mixed-mode oscillations with two types of small amplitude oscillations at local maxima and local minima of large amplitude oscillations, which have been observed recently in the Belousov-Zhabotinsky system. (c) 2000 American Institute of Physics. 相似文献
13.
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
14.
《Physica D: Nonlinear Phenomena》2005,200(1-2):81-104
We present an automatic control method for phase locking of regular and chaotic nonidentical oscillations, when all subsystems interact via feedback. This method is based on the well known principle of feedback control which takes place in nature and is successfully used in engineering. In contrast to unidirectional and bidirectional coupling, the approach presented here supposes the existence of a special controller, which allows to change the parameters of the controlled systems. First we discuss general principles of automatic phase synchronization (PS) for arbitrary coupled systems with a controller whose input is given by a special quadratic form of coordinates of the individual systems and its output is a result of the application of a linear differential operator. We demonstrate the effectiveness of our approach for controlled PS on several examples: (i) two coupled regular oscillators, (ii) coupled regular and chaotic oscillators, (iii) two coupled chaotic Rössler oscillators, (iv) two coupled foodweb models, (v) coupled chaotic Rössler and Lorenz oscillators, (vi) ensembles of locally coupled regular oscillators, (vii) ensembles of locally coupled chaotic oscillators, and (viii) ensembles of globally coupled chaotic oscillators. 相似文献
15.
16.
With system parameters falling into a certain area, power system with excitation limits experiences complicated chaotic oscillations which threaten the secure and stable operation of power system. In this paper, to control these unwanted chaotic oscillations, a straightforward adaptive chaos controller based on Lyapunov asymptotical stability theory is designed. Since the presented controller does not need to change the controlled system structure and not to use any information of system except the system state variables, the designed controller is simple and desirable. Simulation results show that the proposed control law is very effective. This work is helpful to maintain the power system's security operation.[第一段] 相似文献
17.
18.
Optics and Spectroscopy - Resonance that arises upon excitation of a harmonic oscillator, which is exemplified by relaxation oscillations in a laser by a pump pulse with an exponentially varying... 相似文献
19.
讨论了两个非线性电路适当连接后的耦合系统随耦合强度变化的演化过程.给出了两子系统各自的分岔行为及通向混沌的过程,指出原子系统均为周期运动时,耦合系统依然会由倍周期分岔进入混沌,同时在混沌区域中存在有周期急剧增加及周期增加分岔等现象.而当周期运动和混沌振荡相互作用时,在弱耦合条件下,受混沌子系统的影响,原周期子系统会在其原先的轨道邻域内作微幅振荡,其振荡幅值随耦合强度的增加而增大,混沌的特征越加明显,相反,周期子系统不仅可以导致混沌子系统的失稳,也会引起混沌吸引子结构的变化.
关键词:
非线性电路
耦合强度
分岔
混沌 相似文献