共查询到19条相似文献,搜索用时 93 毫秒
1.
2.
以周期激励下受控Lorenz模型为例, 考察了多平衡态共存下激励频率与系统固有频率之间存在量级差距也即存在频域上的不同尺度时的耦合效应. 由于激励频率远小于系统的固有频率, 因此将整个激励项视为慢变参数, 分析随慢变参数变化下的各种分岔模式及其相应的分岔行为, 指出在一定条件下, 不同平衡点会产生Hopf分岔和fold分岔. 根据分岔条件的不同, 给出了两种典型情况下的簇发振荡, 并通过引入转换相图, 揭示了不同簇发的产生机理, 指出多平衡态和多种分岔共存不仅会导致沉寂态和激发态的多样性, 而且会使得不同沉寂态和激发态之间存在着不同的转换形式. 相似文献
3.
4.
讨论了快慢两时间尺度下超混沌Lorenz系统原点的稳定性问题,分析了原点的Hopf分岔,包括Hopf分岔的存在性,分岔方向以及分岔周期解的稳定性等问题,并用数值例子对所得到的结果加以验证.在一定的参数条件下,快慢系统会产生对称簇发并能达到超混沌状态.基于快慢分析法,揭示了对称簇发中沉寂态与激发态相互转迁的不同分岔模式,并进一步分析了耦合强度对慢过效应的影响.
关键词:
超混沌Lorenz系统
Hopf分岔
对称式fold/subHopf簇发
慢过效应 相似文献
5.
6.
7.
Pre-Bötzinger复合体是兴奋性耦合的神经元网络,通过产生复杂的放电节律和节律模式的同步转迁参与调控呼吸节律.本文选用复杂簇和峰放电节律的单神经元数学模型构建复合体模型,仿真了与生物学实验相关的多类同步节律模式及其复杂转迁历程,并利用快慢变量分离揭示了相应的分岔机制.当初值相同时,随着兴奋性耦合强度的增加,复合体模型依次表现出完全同步的“fold/homoclinic”,“subHopf/subHopf”簇放电和周期1峰放电.当初值不同时,随耦合强度增加,表现为由“fold/homoclinic”,到“fold/fold limit cycle”、到“subHopf/subHopf”与“fold/fold limit cycle”的混合簇放电、再到“subHopf/subHopf”簇放电的相位同步转迁,最后到反相同步周期1峰放电.完全(同相)同步和反相同步的周期1节律表现出了不同分岔机制.反相峰同步行为给出了与强兴奋性耦合容易诱发同相同步这一传统观念不同的新示例.研究结果给出了preBötzinger复合体的从簇到峰放电节律的同步转迁规律及复杂分岔机制,反常同步行为丰富了非线性动力学的内涵. 相似文献
8.
9.
10.
慢光和慢光孤子由于在全光通信技术等领域内的重要应用已成为量子光学和非线性光学研究的热点。利用四阶紧致分裂步有限差分法离散精确描述三能级冷原子介质中高阶型双稳态慢光孤子行为的广义非线性薛定谔方程,得到相应的离散格式。采用Rb原子D1线精细结构参数进行数值模拟,通过适当改变精细结构饱和参数和初始入射探测场,分析单个和多个双稳态慢光孤子的演化行为。数值结果表明饱和参数对高阶双稳态慢光孤子的演化有显著的影响,多个慢光孤子的相互作用不但与慢光孤子的振幅和相互距离有关,还和慢光孤子的排列方式有关。 相似文献
11.
Controllable optical bistability of Bose—Einstein condensate in an optical cavity with Kerr medium
下载免费PDF全文
![点击此处可从《中国物理 B》网站下载免费的PDF全文](/ch/ext_images/free.gif)
We study the optical bistability for a Bose-Einstein condensate of atoms in a driven optical cavity with Kerr medium. We find that both the threshold point of optical bistability transition and the width of optical bistability hysteresis can be controlled by appropriately adjusting the Kerr interaction between the photons. In particular, we show that the optical bistability will disappear when the Kerr interaction exceeds a critical value. 相似文献
12.
Controllable optical bistability of Bose-Einstein condensate in an optical cavity with a Kerr medium
下载免费PDF全文
![点击此处可从《中国物理 B》网站下载免费的PDF全文](/ch/ext_images/free.gif)
We study the optical bistability for a Bose-Einstein condensate of atoms in a driven optical cavity with a Kerr medium. We find that both the threshold point of optical bistability transition and the width of optical bistability hysteresis can be controlled by appropriately adjusting the Kerr interaction between the photons. In particular, we show that the optical bistability will disappear when the Kerr interaction exceeds a critical value. 相似文献
13.
Zhi-Hong Xiao 《Optics Communications》2010,283(10):2178-2181
The behavior of the optical bistability (OB) is investigated in an optical system which consists of a four-level atomic system with a microwave drive field and an optical cavity. It is found that the optical bistability can be accomplished by adjusting different physical parameters in both steady and transient process. Due to the existence of the microwave drive field, the optical bistability can be also obtained even under weak coherent coupling field condition. Since the intensity and phase of microwave drive field can be conveniently modulated, this optical system provides a new experimental method to test the optical bistability theory. 相似文献
14.
15.
16.
Optical bistability and multistability in a three-level Δ-type atomic system under the nonresonant condition
下载免费PDF全文
![点击此处可从《中国物理 B》网站下载免费的PDF全文](/ch/ext_images/free.gif)
Under a nonresonant condition, we theoretically investigate hybrid
absorptive-dispersive optical bistability and multistability
behaviours in a three-level Δ-type system by using a microwave
field to drive a hyperfine transition between two upper excited
states inside a unidirectional ring cavity. We find that the optical
bistability and multistability behaviours can be controlled by
adjusting the intensity of the microwave field or the intensity of
the coherent coupling field. Furthermore, our studies show an
interesting phenomenon of the transition from the optical
bistability to the optical multistability only by changing the
negative detuning of the coupling field into the positive detuning
of the coupling field. 相似文献
17.
A novel four level atomic configuration is proposed for controlling the optical bistability and transmission coefficient with application on all-optical switching. Two circularly polarized components from a weak linearly-polarized probe beam are interacted separately by two transitions of this medium. A coherent coupling field has derived another atomic transition. It is demonstrated that the transmission coefficient of two orthogonally polarized beams at different frequencies can be achieved by adjusting the magnitude of the external magnetic field. It is found that the threshold of the optical bistability can be controlled by magnitude of the external magnetic field. Also, it is shown that optical bistability can be converted to optical multistability by switching the two orthogonally polarized beams. 相似文献
18.
19.
A. L. Semenov 《Journal of Experimental and Theoretical Physics》1998,87(4):764-770
A theory is constructed that explains photoinduced phase transitions in a Peierls system being irradiated by light with a
finite width of the optical spectrum and a central frequency close to the upper van Hove singularity of the first kind in
the combined density of electron states. The electron spectrum and the matrix elements of the dipole-moment operator are calculated
by Bogolyubov’s method of canonical transformations. The interaction with the light is described by the Liouville equation
for the density matrix of the electron subsystem in the dipole approximation. The light field is considered a quasimonochromatic
time-independent random process with a Lorentzian spectrum. The derived equations are analyzed for two limits: (1) when the
width of the optical spectrum tends to zero (a monochromatic light field), and (2) when the width of the optical spectrum
is close to the upper limit (a bifurcation point) at which a photoinduced phase transition can still be observed. An existence
criterion for such a transition is obtained, and the main parameters of the transition (the critical points and the size of
the hysteresis loop) are calculated. The broadening of the optical spectrum of the incident light is shown to narrow the range
of values of the central frequency of the light field and to reduce the size of the hysteresis loop. Finally, near the phase
transition point, cavityless optical bistability sets in in the system, with light absorption increasing in the process.
Zh. éksp. Teor. Fiz. 114, 1407–1420 (October 1998) 相似文献