Design and Application of discrete-time chaotic systems

#ChaoticSystems #DiscreteTimeSystems #NonlinearDynamicSystems #ChaosTheory #CyberSecurity

Chaos occurs as a special condition in a nonlinear deterministic dynamic system when the trajectory of the time evolution becomes aperiodic and highly sensitive to the initial state. In other words, when the parameters of a nonlinear deterministic dynamic system are tuned to its chaotic region, then two initial states, even if they are very close to each other, will eventually follow two drastically different time-trajectories and the trajectories will never repeat themselves popularly known as the ‘butterfly effect’. Thanks to this initial state sensitivity and deterministic aperiodicity, chaotic systems have proven their utility in numerous security applications such as random number generation, side channel attack mitigation, logic obfuscated, reconfigurable computing, data encryption, secure communication and so on. The nonlinear dynamical system can evolve in continuous-time or in discrete-time. This talk will focus on design and application of discrete-time chaotic systems. It will cover both digital and analog implementations of such systems and outline their respective advantages for several applications. The goal is to introduce chaos theory, widely considered as one of the monumental scientific findings of the last century and then shed light on the possible opportunities and challenges for its widespread adoption in diverse engineering applications specially in the field of cyber security.