High dimensional, four positive Lyapunov exponents and attractors with four scroll during a new hyperchaotic complex nonlinear model

New hyperchaotic nonlinear model inclusive complex variables have been introduced in this paper. This model has attributes that differentiate it from several of the models contemplated as of late in literature, for example, (i) this model is a high-dimension (9D), (ii) the new model has hyperchaotic conduct with four positive Lyapunov exponents, (iii) the attractors of our model has four scroll. Features and characteristics of this model containing Hamiltonian, invariance, dissipation, equilibria and their stability, Lyapunov exponents, Lyapunov dimension, bifurcation diagrams and chaotic (hyperchaotic) accomplishment are studied. On the confirmation of stability theory and active control technique, an approach is made to play out the complete and phase synchronizations of two identical hyperchaotic attractors of our model. The efficiency of the gained outcomes is revealed by a simulation illustration. The phase synchronization outcomes were utilized to build up a straightforward application in secure communication. Numerical effects computed to show the hyperchaotic synchronizations of a hyperchaotic model and to test the control powers scientific expressions gravity