DYNAMICS, CONTROL, STABILITY, DIFFUSION AND SYNCHRONIZATION OF MODIFIED CHAOTIC COLPITTS OSCILLATOR WITH TRIANGULAR WAVE NON-LINEARITY

DYNAMICS, CONTROL, STABILITY, DIFFUSION AND SYNCHRONIZATION OF MODIFIED CHAOTIC COLPITTS OSCILLATOR WITH TRIANGULAR WAVE NON-LINEARITY

N. Kumar K. A., S. Rasappan, R. N. Devi

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Abstract

The purpose of this paper is to introduce a new chaotic oscillator. Although different chaotic systems have been formulated by earlier researchers, only a few chaotic systems exhibit chaotic behaviour. In this work, a new chaotic system with chaotic attractor is introduced for triangular wave non-linearity. It is worth noting that this striking phenomenon rarely occurs in respect of chaotic systems. The system proposed in this paper has been realized with numerical simulation. The results emanating from the numerical simulation indicate the feasibility of the proposed chaotic system. More over, chaos control, stability, diffusion and synchronization of such a system have been dealt with.

Keywords

Chaos, Colpitts oscillator, Lyapunov exponent, Diffusion, Stability, Synchro- nization, Triangular Wave Non-linearity.