New Method for the Control of Fast Chaotic Oscillations

A New Architecture of Uwb Radar Utilizing Microwave Chaotic Signals and Chaos Synchronization

“…Fortunately, researches in Ref. [26] have demonstrated the feasibility of the realization of chaos synchronization at very high frequencies.…”

“…We see that although at the beginning, transmitter and receiver oscillate independently, after a period of time (approximately 5 ns here), the chaotic signal in receiver starts to synchronize with that in transmitter. This result shows that the chaos synchronization can be regarded as a signal retrieval process from noise [26][27][28], which is very suitable for the usage of recovering chaotic RADAR signals from noise and interference.…”

Controlling Fast Chaos in Optoelectronic Delay Dynamical Systems

“…Orbit Period, T PO Control Loop Latency, τ TDAS [30,51] 99 ns <30 ns ETDAS [30,51] 99 ns <120 ns Pulsewidth Modulation [35] 52 ns 4.4 ns Limiter Control [36] 23 ns 1 ns 1 Modified TDAS [59] 12 ns 8 ns Tab. 1.2 Period of some experimentally stabilized UPOs and latency of the controller.…”

“…An example of this approach are methods that apply perturbations of a predetermined strength when the system crosses some threshold in phase space [35,36]. Using these methods, successful control of fast but low-dimensional chaos was demonstrated.…”

“…Using these methods, successful control of fast but low-dimensional chaos was demonstrated. As an example, an UPO with period T PO = 23 ns was stabilized [35]. A drawback of these methods is that they rely on the ability to easily define windows and walls in phase space.…”