Since the 1990s, chaos theory has promoted the development of related disciplines, both in natural sciences and social sciences. Although there are some important results regarding the analysis and control of chaos, the generation mechanism of chaos is still a meaningful research topic. Therefore, the research on this subject has important theoretical significance and practical application value. In particular, recent advances in nonlinear models reveal that their complexity and richness are far beyond our expectations. Their investigation requires the development of new analytical and computational methods.

This Special Issue invites original research and review articles on the analysis methods and chaotic behaviour analysis for nonlinear models in the field of natural science and engineering technology. We are also interested in the geometric qualitative study, control of chaos, numerical calculation, and potential applications of bifurcation and chaos in differential equations or difference equations.

Potential topics include but are not limited to the following:

• Qualitative geometry analysis of differential equations
• Melnikov analysis and applications in determining chaos
• Modelling, analysis, and control of chaos in electrical and mechanical systems
• Modelling and analysis of chaos in biological and chemical systems
• Various control techniques for suppressing chaos in physical systems
• Effects and applications of time delay on chaos in physical systems
• Spiral waves and chimera states in physical systems
• Recent advances in chaotic circuits