Chaotic and hyperchaotic attractors of a complex nonlinear system. (English) Zbl 1131.37036

Mahmoud, Gamal M.; Al-Kashif, M. A.; Farghaly, A. A.

J. Phys. A, Math. Theor. 41, No. 5, Article ID 055104, 12 p. (2008).

MSC:

37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37C10	Dynamics induced by flows and semiflows
34C28	Complex behavior and chaotic systems of ordinary differential equations
34C25	Periodic solutions to ordinary differential equations
34C08	Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.)
34D45	Attractors of solutions to ordinary differential equations
28A78	Hausdorff and packing measures
93D15	Stabilization of systems by feedback

Keywords:

five-dimensional system of nonlinear autonomous differential equations; Lyapunov exponents; periodic and quasi-periodic solutions; fixed points; stability analysis; hyperchaos synchronization