Cryptocurrencies and Blockchain Technology Applications

CHAPTER 7CHAOS CONTROL DYNAMICS OF CRYPTOVIROLOGY IN BLOCKCHAIN

Rashmi Bhardwaj¹ and Saureesh Das²

¹Non-Linear Dynamics Research Lab, University School of Basic & Applied Sciences, Guru Gobind Singh Indraprastha University, Dwarka, Delhi, India

²University School of Basic & Applied Sciences, Guru Gobind Singh Indraprastha University, Indraprastha University, Delhi, India

AbstractThe study in this chapter deals with the dynamics of worm propagation in cryptovirology. An epidemic SEI nonlinear model is applied to study the viral propagation of worm in cyber networks and systems and the effect of rate of susceptibility of vulnerable system on the dynamics of the model is analyzed. Using stability and bifurcation analysis, the parameter values for stable limit cycle and chaotic states are determined and observed through numerical simulation. The stable and chaotic dynamic for worm propagation in cyber network is simulated for different values of rate or coefficient of decay (d); susceptibility of system (b) and coefficient of encounter with infected system during worm attack (k). From time series and phase plots, it is observed that for d₁ =5, d₂ = 1, d₃ = 1, b₁ = 11, b₂ = 6, k₁ = 2, and k₂ = 1, a stable limit cycle exists and for T = 0.4, d = 0.08 and U = 0.8 chaotic state exists. As b1=16 or susceptibility of vulnerable system is increased the system becomes chaotic.

For controlling of chaotic dynamics, two identical chaotic systems are synchronized using active control scheme. ...