Improving the Complexity of the Lorenz Dynamics

Table 1

Local stability study.

Analysis	Parameters	Eigenvalues	Interpretation	Eigenvalues	Interpretation
System evolution when varying the parameter for		, , ,	Saddle point order 1	, , ,	Saddle spiral order 2
		, , ,	Saddle point order 1	, , ,	Saddle spiral order 2
		, , ,	Saddle spiral order 1	, , ,	Saddle spiral order 2
		Hopf bifurcation
		, , ,	Saddle spiral order 1	, , ,	Spiral node
System evolution when varying the parameter for		, , ,	Saddle spiral order 1	, , ,	Saddle spiral order 2
System evolution when varying the parameter for		, , ,	Saddle spiral order 1	, , ,	Saddle spiral order 2
		Hopf bifurcation
		, , ,	Saddle spiral order 1	, , ,	Spiral node
		, , ,	Saddle point order 1	, , ,	Spiral node

, real positive eigenvalue; , real negative eigenvalue; , complex eigenvalue with positive real part; , complex eigenvalue with negative real part.