Manuscript Topics

Since their introduction in the 1930s by Andronov, Vitt, and Khaikin for the study of physical systems, differential equations defined by piecewise linear vector fields have been closely tied to various scientific and technological applications. Over the years, the rich and diverse dynamic behavior exhibited by these equations has garnered significant attention from researchers. They have been considered an ideal framework for generating characteristic phenomena of nonlinear dynamics, providing a more accessible environment for rigorous analysis.
In addition to their capability to model nonlinear behaviors in a simplified manner, these equations have solidified their position as minimal models for understanding complex phenomena and their bifurcations. This renders them a valuable tool for both theoretical and applied studies of nonlinear dynamics, facilitating the analysis of phenomena such as stability, the emergence of attractors, and the control of dynamical systems.
From this perspective, this special issue is dedicated to research that employs differential equations defined by piecewise linear vector fields, aiming to deepen the understanding of nonlinear dynamics. Topics of interest include, but are not limited to, bifurcation analysis, the stability of continuous and discontinuous systems, the control of linear systems, the computation of bounds on the number of limit cycles, and their applications across various scientific fields. This issue provides a platform for discussing both theoretical and applied advances, with an emphasis on the development of new methodologies and their impact on the comprehension of complex dynamical systems.

Instruction for Authors    
https://www.aimspress.com/math/news/solo-detail/instructionsforauthors    
Please submit your manuscript to online submission system    
https://aimspress.jams.pub/