Dynamical Systems on Bundles [PDF]
In this study, Hamiltonian and Lagrangian theories, which are mathematical models of mechanical systems, are structured on the horizontal and the vertical distributions of tangent and cotangent bundles. In the end, the geometrical and physical results related to Hamiltonian and Lagrangian dynamical systems are concluded.
arxiv
Theory for dynamical short-range order and Fermi surface volume in strongly correlated systems [PDF]
Jörg Schmalian+3 more
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Computational Dynamical Systems [PDF]
We study the computational complexity theory of smooth, finite-dimensional dynamical systems. Building off of previous work, we give definitions for what it means for a smooth dynamical system to simulate a Turing machine. We then show that 'chaotic' dynamical systems (more precisely, Axiom A systems) and 'integrable' dynamical systems (more generally,
arxiv
Geometric and Ergodic Theory of Hyperbolic Dynamical Systems [PDF]
Lai-Sang Young
openalex +1 more source
Fixed Points and Fermat: A Dynamical Systems Approach to Number Theory [PDF]
Michael Frame+2 more
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Koopman Operators for Global Analysis of Hybrid Limit-Cycling Systems: Construction and Spectral Properties [PDF]
This paper reports a theory of Koopman operators for a class of hybrid dynamical systems with globally asymptotically stable periodic orbits, called hybrid limit-cycling systems. We leverage smooth structures intrinsic to the hybrid dynamical systems, thereby extending the existing theory of Koopman operators for smooth dynamical systems.
arxiv
Theory and applications of the systematic detection of unstable periodic orbits in dynamical systems [PDF]
Detlef Pingel+3 more
openalex +1 more source
Theory and mathematics in building dynamic systems models: what prevails? A reply to van der Maas and Raijmakers [PDF]
E. Saskia Kunnen+2 more
openalex +1 more source
Attractive Gait Training: Applying Dynamical Systems Theory to the Improvement of Locomotor Performance Across the Lifespan. [PDF]
Van Hooren B, Meijer K, McCrum C.
europepmc +1 more source
Local entropy theory and applications [PDF]
This paper is a survey about recent developments in the local entropy theory for topological dynamical systems and continuous group actions, with particular emphasis on the connections with other areas of dynamical systems and mathematics.
arxiv