Leonid Shilnikov and mathematical theory of dynamical chaos
Alexey Kazakov, Sergey Gonchenko, Dmitry Turaev, Andrey L Shilnikov
TL;DR
This paper discusses the contributions of Leonid Shilnikov to the mathematical understanding of dynamical chaos, highlighting his foundational role in bifurcation theory and chaos analysis.
Contribution
It introduces Shilnikov's pioneering work on bifurcations and chaos, emphasizing its significance in the development of modern dynamical systems theory.
Findings
Shilnikov's criteria for chaos in dynamical systems
Development of bifurcation theory related to chaos
Foundational influence on chaos theory applications
Abstract
This Focus Issue Global Bifurcations, Chaos, and Hyperchaos Theory and Applications is dedicated to the 85th anniversary of the great mathematician, one of the founding fathers of dynamical chaos theory, Leonid Pavlovich Shilnikov.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAquatic and Environmental Studies · Chaos control and synchronization · Elasticity and Wave Propagation