Abstract:
This paper addresses the issues of disconnection between theory and practice, as well as insufficient interdisciplinary integration, in traditional teaching of nonlinear dynamics courses. It proposes a core educational philosophy centered on "knowledge integration cultivation," supported by "theory combined with application," and guided by "multidisciplinary integration." Based on this framework, with the primary goal of cultivating students' modeling and analytical abilities for complex systems and interdisciplinary scientific thinking, this paper systematically designs a three-dimensional teaching framework consisting of foundational, comprehensive, and innovation levels. A "one core, three dimensions" teaching model is constructed, to achieve a progressive development of student capabilities and comprehensive integration throughout the learning process. Through analysis of teaching practice case studies, this paper elucidates the integrated cultivation pathway of nonlinear dynamics from theoretical teaching and experimental inquiry to graduation projects, providing a systematic plan and practical reference for related curriculum reform.