317 citations · 2.7k across the 87 of their papers we have counts for
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Parallel updating cellular automaton models of driven diffusive Frenkel-Kontorova-type systems
Bing-Hong Wang, Y. R. Kwong, P. M. Hui +1
Three cellular automaton (CA) models of increasing complexity are introduced to model driven diffusive systems related to the generalized Frenkel-Kontorova (FK) models recently pro…
Phase slips and phase synchronization of coupled oscillators
Zhigang Zheng, Gang Hu, Bambi Hu
The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena…
Array-induced collective transport in the Brownian motion of coupled nonlinear oscillator systems
Zhigang Zheng, Bambi Hu, Gang Hu
Brownian motion of an array of harmonically coupled particles subject to a periodic substrate potential and driven by an external bias is investigated. In the linear response limit…
Critical Behavior of Period Doublings in Coupled Inverted Pendulums
Sang-Yoon Kim, Bambi Hu
We study the critical behaviors of period doublings in N (N=2,3,4,...) coupled inverted pendulums by varying the driving amplitude and the coupling strength . It is found th…
Nonadiabatic Geometric Phase and Hannay Angle: A Squeezed State Approach
Jie Liu, Bambi Hu, Baowen Li
The geometric phases of the cyclic states of a generalized harmonic oscillator with nonadiabatic time-periodic parameters are discussed in the framework of squeezed state. A class…
Non-Monotone Characteristic of Spectral Statistics in the Transition between Poisson and Gauss
Hiroshi Hasegawa, Baowen Li, Jian-Zhong Ma +1
We have computed the spectral number variances of an extended random matrix ensemble predicted by Guhr's supersymmetry formula, showing a non-monotone increase of the curves that a…
Cantori and dynamical localization in the Bunimovich Stadium
Fausto Borgonovi, Paolo Conti, Daniela Rebuzzi +2
Classical and quantum properties of the Bunimovich stadium in the diffusive regime are reviewed. In particular, the quantum properties are directly investigated using an approximat…
Statistical Study for Eigenfunctions of 1-dimensional Tight Binding Model
Wen-ge Wang, Bambi Hu
For energy eigenfunctions of 1-dimensional tight binding model, the distribution of ratio of their nearest components, denoted by f(p), gives information for their fluctuation prop…
Universal statistics of wave functions in chaotic and disordered systems
Bambi Hu, Baowen Li, Weng-ge Wang
We study a new statistics of wave functions in several chaotic and disordered systems: the random matrix model, band random matrix model, the Lipkin model, chaotic quantum billiard…
Nonadiabatic geometric phase for the cyclic evolution of a time-dependent Hamiltonian system
Jie Liu, Bambi Hu, Baowen Li
The geometric phases of the cyclic states of a generalized harmonic oscillator with nonadiabatic time-periodic parameters are discussed in the framework of squeezed state. It is sh…
Analytical Results For The Steady State Of Traffic Flow Models With Stochastic Delay
Bing-Hong Wang, Lei Wang, P. M. Hui +1
Exact mean field equations are derived analytically to give the fundamental diagrams, i.e., the average speed - car density relations, for the Fukui-Ishibashi one-dimensional traff…
Relevance of Chaos in Numerical Solutions of Quantum Billiards
Baowen Li, Marko Robnik, Bambi Hu
In this paper we have tested several general numerical methods in solving the quantum billiards, such as the boundary integral method (BIM) and the plane wave decomposition method…
The quantum Frenkel-Kontorova model: a squeezed state approach
Bambi Hu, Baowen Li, Wei-Min Zhang
The squeezed state is used to study the one-dimensional quantum mechanical Frenkel Kontorova model. A set of coupled equations for the particle's expectation value and the fluctuat…
Squeezed state dynamics of kicked quantum systems
Bambi Hu, Baowen Li, Jie Liu +1
We study kicked quantum systems by using the squeezed state approach. Taking the kicked quantum harmonic oscillator as an example, we demonstrate that chaos in an underlying classi…
Resonant steps and spatiotemporal dynamics in the damped dc-driven Frenkel-Kontorova chain
Zhigang Zheng, Bambi Hu, Gang Hu
Kink dynamics of the damped Frenkel-Kontorova (discrete sine-Gordon) chain driven by a constant external force are investigated. Resonant steplike transitions of the average veloci…
Quantum fluctuations: Enhancement or suppression of chaos?
Bambi Hu, Baowen Li, Jie Liu +1
We have studied the effects of quantum fluctuations on dynamical behavior by using squeezed state approach. Our numerical results of the kicked harmonic oscillator demonstrate qual…
Energy transport and correlation between two attractors connected by Fermi-Pasta-Ulam chain
Alexander Fillipov, Bambi Hu, Baowen Li +1
We study numerically time evolution of a system which consists of two attractors connected by Fermi-Pasta-Ulam (FPU) chain. It is found that after sufficiently long time there exit…
Bifurcations and Transitions to Chaos in An Inverted Pendulum
Sang-Yoon Kim, Bambi Hu
We consider a parametrically forced pendulum with a vertically oscillating suspension point. It is well known that, as the amplitude of the vertical oscillation is increased, its i…
Plateau in Above-Threshold-Ionization Spectra and Chaotic Behavior in Rescattering Process
Jie Liu, Shi-Gang Chen, Bambi Hu
An improved quasistatic model is used to describe the ionization process of atoms in intense linearly polarized fields. Numerical calculations of Above-Threshold-Ionization (ATI) e…
Chaotic Behavior of a One-dimensional Model Atom in an Intense Field
Jie Liu, Shi-Gang Chen, Bambi Hu
In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known quasistatic model by adding the smooth…