ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


hyperbolicity

Self-oscillating system generating rough hyperbolic chaos

Topic and aim. The aim of the work is design of rough chaos generator, whose attractor implements dynamics close to Anosov flow on a manifold of negative curvature, as well as constructing and analyzing mathematical model, and
conducting circuit simulation of the dynamics using the Multisim software.

Investigated models. A mathematical model is considered that is a set of ordinary differential equations of the ninth order with algebraic nonlinearity, and a circuit representing the chaos generator is designed.

Hyperchaos in a system with delayed feedback loop based on Q-switched van der Pol oscillator

We present a way to realize hyperchaotic behavior for a system based on Q-switched van der Pol oscillator with non-linear signal transformation in the delayed feedback loop. The results of numerical studies are discussed: time dependences of variables, attractor portraits, Lyapunov exponents, and power spectrum.