Results 181 to 190 of about 166,905,475 (204)

Geometric Neural Ordinary Differential Equations: From Manifolds to Lie Groups. [PDF]

Entropy (Basel)
Wotte YP, Califano F, Stramigioli S.
europepmc   +1 more source

Dimension Theory of Smooth Dynamical Systems

2001
One of the basic properties of dynamical systems is that local instability of trajectories gives rise to a global “chaotic” behavior. This local instability can be described as some kind of hyperbolicity. Smooth Ergodic Theory investigates the metric and stochastic properties of measures invariant under differentiate mappings or flows on manifolds. The
Jörg Schmeling
openaire   +3 more sources

Isochronous Attainable Manifolds for Piecewise Smooth Dynamical Systems [PDF]

Qualitative Theory of Dynamical Systems, 2021
Considering the concept of attainable sets for differential inclusions, we introduce the isochronous manifolds relative to a piecewise smooth dynamical systems in R-2 and R-3, and study how analytical and topological properties of such manifolds are ...
Fabio V Difonzo
exaly   +2 more sources

Graph theory and piecewise smooth dynamical systems of arbitrary dimension

1999
The authors present a method for finding all possible classes of periodic responses in a given piecewise smooth system and extend this approach to systems of arbitrary dimension. The authors apply their general approach to two particular problems, that is dynamics of the confined rocking block and a heat exchanger respectively.
Hogan, SJ, Homer, ME
openaire   +1 more source

Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

Emergence, Complexity and Computation, 2021
Nikolay Kuznetsov, Volker Reitmann
exaly  

Mean Dimension and Metric Mean Dimension for Non-autonomous Dynamical Systems

Journal of Dynamical and Control Systems, 2021
Jeovanny de Jesus Muentes Acevedo, Fagner Rodrigues   +1 more
exaly  

Order-preserving dynamics in one dimension – single-file diffusion and caging from the perspective of dynamical density functional theory

Molecular Physics, 2021
Hartmut Lowen, René Wittmann
exaly  

Dimension and local structures of attracting manifolds of smooth dynamical systems

Applied Mathematics and Computation, 1999
Francisco Javier Solís Lozano
exaly