Algorithms for Controlling chaos: Application to BVP Oscillator

Controlling chaos in Colpitts oscillator

In this paper, an adaptive backstepping design is proposed to synchronize and control the Colpitts oscillator. The proposed control approach enables stabilization of chaotic motion to a steady state as well as synchronization by recursively interlacing the choice of a Lyapunov function with the design of feedback control in a systematical way. Numerical simulations verify the effectiveness of t...

Effect of Step Size on bifurcations and Chaos of a Map-Based BVP oscillator

The continuous Bonhoeffer–van der Pol (BVP for short) oscillator is transformed into a mapbased BVP model by using the forward Euler scheme. At first, the bifurcations and chaos of the map-based BVP model are investigated when the step size varies as a bifurcation parameter. By using the fast-slow decomposition technique, a two-parameter bifurcation diagram is obtained to give insight into the ...

Bifurcation and Chaos in Coupled BVP oscillators

Two Novel Chaos-Based Algorithms for Image and Video Watermarking

In this paper we introduce two innovative image and video watermarking algorithms. The paper’s main emphasis is on the use of chaotic maps to boost the algorithms’ security and resistance against attacks. By encrypting the watermark information in a one dimensional chaotic map, we make the extraction of watermark for potential attackers very hard. In another approach, we select embedding po...

Title of Dissertation: Application of Chaotic Synchronization and Controlling Chaos to Communications Application of Chaotic Synchronization and Controlling Chaos to Communications

Title of Dissertation: Application of Chaotic Synchronization and Controlling Chaos to Communications Vasily Dronov, Doctor of Philosophy, 2005 Dissertation directed by: Professor Edward Ott Department of Electrical and Computer Engineering This thesis addresses two important issues that are applicable to chaotic communication systems: synchronization of chaos and controlling chaos. Synchroniza...