For analyzing the transition to chaos in the Chua’s circuit, we compute the lyapunov exponents for the system. For \(R=1800\) ohms, our system shows both chaotic and periodic behavior.

• For the initial condition \((0.7,0.5,0.2)\), the lyapunov exponents are \( 0.364809, -0.000188, -4.804716\). Since the largest exponents is positive, the system shows chaotic behaviour.

• For the initial condition \((7.0,0.5,0.2)\) (note the difference in the \(x\)-component), the lyapunov exponents are \(-0.000369, -0.328941, -66.999886\). Since the largest exponent is negative and close to zero, the system shows a periodic behavior.

• If the largest exponent is \(0\), we encounter a fixed point.