Nonlinear oscillations have been observed in numerous areas of science and engineering. Some typical oscillations relate to nonlinear pendulums, population models, business cycles, and jerk systems. Since the discovery of chaotic oscillations in a nonlinear weather model by Lorenz in 1963, chaotic oscillators, their modelling and control have received much attention in the literature. Chaotic maps are examples of chaotic oscillators. They are widely applied in encryption, cryptosystems, and secure communication devices.

This Special Issue is focused on the modelling, control methods and various applications of chaotic oscillators in nature and society. We encourage original research and review articles that offer an insight into fundamental concepts of chaotic dynamical systems and discrete chaotic systems with various control applications. We welcome submissions that describe the modelling and applications of chaotic dynamical systems in nature and society.

Potential topics include but are not limited to the following:

• Chaos-based communication systems
• Chaos-based cryptosystems
• Chaotic oscillators in business and finance
• Chaotic oscillators in physics, chemistry, and biology
• Circuit design for chaotic oscillators
• Control methods for chaotic oscillators
• Experimental chaotic oscillations in practical systems
• Fractional-order models of chaotic systems
• Hyperchaotic systems and applications
• Self-excited and hidden chaotic attractors