Nonlinear Dynamics in PDEs: Complexity and Chaos in Physical and Mathematical Sciences
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 31 March 2025 | Viewed by 108
Special Issue Editor
Interests: partial differential equations; fluid modeling; biomathematics; complexity
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
This Special Issue aims to present cutting-edge research exploring the behaviors that emerge in nonlinear dynamical systems. This issue welcomes theoretical works and works that connect theoretical and applied sciences, highlighting how nonlinear dynamics and chaos theory can be harnessed to solve complex problems in various fields. We invite contributions that delve into state-of-the-art topics such as bifurcation theory, synchronization phenomena, fractals, and multi-stability, as well as applications in engineering, biology, economics, and beyond.
Although this Special Issue welcomes ubiquitous areas of complexity and chaos, a significant focus will be on the role of partial differential equations (PDEs) in modeling and understanding nonlinear phenomena. Topics of interest include, but are not limited to, soliton theory, wave propagation, biomathematics, turbulence, and pattern formation in reaction-diffusion systems. We also encourage studies on numerical methods for solving PDEs that exhibit chaotic behavior, as well as innovative analytical techniques that provide deeper insights into the stability and long-term behavior of these systems.
Through this special issue, we aim to showcase how modern advancements in nonlinear dynamics and chaos theory can lead to a better understanding of complex systems and foster the development of novel technologies and methodologies. Given the diverse range of studies, we hope to stimulate further research and collaboration in this continually evolving field.
Prof. Dr. José Luis Díaz Palencia
Guest Editor
Manuscript Submission Information
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Keywords
- partial differential equations (PDE)
- chaos
- nonlinear dynamical systems
- bifurcation theory
- synchronization phenomena
- fractals
- multi-stability
- complexity
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