混沌同步ppt课件

Defense Applications:
New tunable radiation sources THz sources for IED detection Secure communications Communicating autonomous vehicles
Complete Synchronization
Master system
Slave system
Time
Chaos synchronization
With control process Complete synchronization
lim X (t) Y (t) 0
t
Amplitudes and phases are identical
X(t)
x
y
Y(t)
x-y 0
t
t
t
Phase synchronization
Phases have a functional relationship
Unidirectional Coupling in a Laser (Meucci) Synchronization phases of one oscillator to an external
*A. Pikovsky, M. Rosenblum and J. Kurths, Synchronization, Cambridge Univ. Press 2001
Why Synchronization is Interesting
Physical systems: Clocks; Pattern formation; Dynamics of coherent structures in spatially extended systems (Epidemics, Neurons, Lasers, continuum mechanics,…)
deterministic
broad spectrums of Fourier transform
so sensitive to initial value
Chaos synchronization
What is ‘chaos synchronization’? Without control process
Generalized synchronization
The auxiliary system method:
Two or more replicas of the response system are available ( i.e. obtained starting from different initial conditions) Complete synchronization between response systems implies generalized synchronization between response and drive systems.
N. F. Rulkov et al. Phys. Rev. E51 980, (1995)
Detecting generalized synchronization is difficult to implement in experiments Good for large changes in time scales
oscillator
If phases are locked, or entrained, Then dynamics is in phase synchrony Frequency locking
m1 n2 const
Generalized synchronization
Systems exhibit quite different temporal evolutions, There exists a functional relation between them.
Many things in nature oscillate Many things in nature are connected Definition: Synchronization is the adjustment of rhythms of oscillating objects due to their weak interactions*
Complete or identical synchronization (easiest to understand)
The difference between states of systems goes asymptotically to zero as time
goes to infinity.
Engineering:
Communication systems; Manufacturing processes
Coupled fiber lasers for welding Coupled chemical reactors for etching
Biological systems: Healthy dynamical rhythms; Dynamical diseases; Population dynamics
第六章 混沌同步及保密通信
P-C同步化方法——驱动和响应 反馈同步化 广义同步化 混沌系统的控制与同步化的等价 用与时间序列自动同步化方法估计系统模型参数 基于系统辨识的自适应混沌同步控制 模拟混沌保密通信系统的信息检测 混沌数字保密通信系统的设计
本章绪论
混沌同步及其在信息通讯中的应用综述
Synchronization – What is it?
F xt
Experimental evidence of NIS CO2 laser (Meucci)
xt
Start of the common noise signal
混沌加密解密 Introduction to Chaos:
nonlinear
Chaos
noisቤተ መጻሕፍቲ ባይዱ-like ,unpredictable