In this paper, the motion control of a mobile robot, which is based on a specific type of chaotic systems, is studied. These systems produce the well-known from the nonlinear theory double-scroll chaotic attractors. So, the proposed motion control strategy of the mobile robot is based on a chaotic path planning generator in order to cover a terrain fast and with unpredictable way. For choosing ...

Keywords: System of ordinary quadratic differential equations Linear transformations Boundedness Limit cycle Chaotic attractor Saddle focus Ricker discrete population model a b s t r a c t The wide class of 3-D autonomous systems of quadratic differential equations, in each of which either there is a couple of coexisting limit cycles or there is a couple of coexisting chaotic attractors, is fou...

This article introduces a new chaotic system of three-dimensional quadratic autonomous ordinary differential equations, which can display (i) two 1-scroll chaotic attractors simultaneously, with only three equilibria, and (ii) two 2-scroll chaotic attractors simultaneously, with five equilibria. Several issues such as some basic dynamical behaviors, routes to chaos, bifurcations, periodic windo...

Chaos is a special feature of complex parametric nonlinear dynamical systems. It has the random-like behavior usually seen in stochastic systems although it is associated with deterministic dynamics. Chaos is at the edge of stability and therefore could easily lead systems to an unstable, performance-degraded, or even catastrophic situation. In such cases, chaos is considered as undesired and s...

Application of chaos in communications, in particular, wireless communications is actively investigated since 1990s [1–5]. Direct chaotic scheme of wireless communications employs chaotic radio pulses as information carriers. This scheme was proposed in 2000 [6–7]. At that time the first experiments were made with this scheme in 900–1000 MHz range. In 2001 investigation of UWB direct chaotic sy...

-Although the motions of independent chaotic systems are uncorrelated with each other, it is possible under some conditions to synchronize a subsystem of one chaotic system with a separate chaotic system by sending a signal from the chaotic system to the subsystem. We describe here the conditions necessary for synchronization and demonstrate synchronization with a chaotic circuit.

Chaotic neural networks consisting of a great number of chaotic neurons are able to reproduce the rich dynamics observed in biological nervous systems. In recent years, the memristor has attracted much interest in the efficient implementation of artificial synapses and neurons. This work addresses adaptive synchronization of a class of memristor-based neural chaotic systems using a novel adapti...

We investigate nonlinear dynamical systems from the mode competition point of view, and propose the necessary conditions for a system to be chaotic. We conjecture that a chaotic system has at least two competitive modes (CM’s). For a general nonlinear dynamical system, we give a simple, dynamically motivated definition of mode suitable for this concept. Since for most chaotic systems it is diff...

First, this paper proposes a general procedure for the anti-synchronization of identical chaotic systems using novel sliding mode control method. The general result derived using novel sliding mode control method is established via Lyapunov stability theory. As an application of the general result, the problem of anti-synchronization of identical Vaidyanathan-Madhavan chaotic systems (2013) is ...

Generally speaking, it is relatively easy to design a feedback controller to eliminate the possibility of chaos in a nonlinear dynamical system. Here we examine chaotic control not from the prospective of eliminating chaos, but from the prospective of producing chaotic motion in order to take advantage of the random like “free ride” a chaotic attractor provides. The idea is stay with this free ...