Dynamics of distributed-order hyperchaotic complex van der Pol oscillators and their synchronization and control

• Published in: European physical journal plus Vol. 135; no. 1; p. 32
• Main Authors: Mahmoud, Gamal M., Farghaly, Ahmed A., Abed-Elhameed, Tarek M., Aly, Shaban A., Arafa, Ayman A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2020; Springer Nature B.V
• Subjects: Applied and Technical Physics; Atomic; Calculus; Complex Systems; Condensed Matter Physics; Dynamic stability; Dynamical systems; Eigenvalues; Electronic circuits; Feedback control; Intervals; Laplace transforms; Liapunov exponents; Mathematical analysis; Mathematical and Computational Physics; Molecular; Optical and Plasma Physics; Oscillators; Parameters; Physics; Physics and Astronomy; Regular Article; Synchronism; Theoretical

The distributed-order hyperchaotic unforced and forced complex van der Pol oscillators with complex parameter are introduced and investigated in this paper. The basic dynamical properties including equilibrium point and its stability and chaotic behavior of the unforced oscillator are studied. The i...