Abdul Jalil M. Khalaf

A Novel Class of Chaotic Flows with Infinite Equilibriums and Their Application in Chaos-Based Communication Design Using DCSK

Abstract Discovering chaotic systems with interesting features has been of interest in the recent years. One such important and interesting feature is the type and shape of equilibrium points. We introduce a class of chaotic systems which could show different types of infinite equilibrium points. The fundamental properties of the proposed systems like bifurcation diagram and Lyapunov exponents are investigated. An electronic circuit of the presented chaotic systems is implemented. In addition, a chaos-based communication application by the differential chaos shift keying method with the new chaotic system is designed and tested for engineering application. According to the design test results, the proposed chaos-based communication system is successful. Therefore, the new chaotic system can be used in chaos-based communication systems.

THE k-INDEPENDENT GRAPH OF A GRAPH

Let

A new three-dimensional chaotic flow with one stable equilibrium: dynamical properties and complexity analysis

G=(V,E)

Hosoya polynomial of some cactus chains

be a simple graph. A set

Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced oscillator with spatially-periodic damping

I\subseteq V

A new nonlinear oscillator with infinite number of coexisting hidden and self-excited attractors

is an independent set, if no two of its members are adjacent in

A new hidden chaotic attractor with extreme multi-stability

G

A Modified Multistable Chaotic Oscillator

. The

A no-equilibrium memristive system with four-wing hyperchaotic attractor

k

Carpet oscillator: A new megastable nonlinear oscillator with infinite islands of self-excited and hidden attractors

-independent graph of