Abstract
This paper presents another new modified Lorenz system which is chaotic in a certain range of parameters. Besides that, this paper also presents explanations to solve the new modified Lorenz system. Furthermore, some of the dynamical properties of the system are shown and stated. Basically, this paper shows the finding that led to the discovery of fixed points for the system, dynamical analysis using complementary-cluster energy-barrier criterion (CCEBC), finding the Jacobian matrix, finding eigenvalues for stability, finding the Lyapunov functions, and finding the Lyapunov exponents to investigate some of the dynamical behaviours of the system. Pictures and diagrams will be shown for the chaotic systems using the aide of MAPLE in 2D and 3D views. Nevertheless, this paper is to introduce the new modified Lorenz system.
Highlights
In real life, the dynamical system is well known for its various uses such as in a population growth model
The parameters aa and cc are xed parameters while the parameter bb will be used for dynamic variation
With the aid of MATLAB, we have succeeded in obtaining the Lyapunov exponent value and to plot the Lyapunov exponents versus the parameter bb of the new system (2)
Summary
Is paper presents another new modi ed Lorenz system which is chaotic in a certain range of parameters. This paper presents explanations to solve the new modi ed Lorenz system. Some of the dynamical properties of the system are shown and stated. This paper shows the nding that led to the discovery of xed points for the system, dynamical analysis using complementary-cluster energy-barrier criterion (CCEBC), nding the Jacobian matrix, nding eigenvalues for stability, nding the Lyapunov functions, and nding the Lyapunov exponents to investigate some of the dynamical behaviours of the system. Pictures and diagrams will be shown for the chaotic systems using the aide of MAPLE in 2D and 3D views. This paper is to introduce the new modi ed Lorenz system
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
