Results 61 to 70 of about 1,865,782 (225)
Reduction of polynomial dynamical systems modulo primes [PDF]
arXiv, 2021 We study the algebraic dynamical systems generated by triangular systems of rational functions and estimate the height growth of iterations generated by such systems. Further, using a result on the reduction modulo primes of systems of multivariate polynomials over the integers, we study the periodic points and the intersection of orbits of such ...
arxiv
Journal of Applied and Computational Mechanics, 2015 The study of the dynamic behavior of a rigid body with one fixed point (gyroscope) has a long history. A number of famous mathematicians and mechanical engineers have devoted enormous time and effort to clarify the role of dynamic effects on its movement
Svetoslav Ganchev Nikolov +1 more
doaj +1 more source
$p$-adic discrete dynamical systems and their applications in physics and cognitive sciences [PDF]
Russian Journal of Mathematical Physics, v.11, N. 1, p.45-70, 2004, 2004 This review is devoted to dynamical systems in fields of $p$-adic numbers: origin of $p$-adic dynamics in $p$-adic theoretical physics (string theory, quantum mechanics and field theory, spin glasses), continuous dynamical systems and discrete dynamical systems.
arxiv
Geometric Hamilton-Jacobi Theory for Nonholonomic Dynamical Systems
, 2009 The geometric formulation of Hamilton--Jacobi theory for systems with nonholonomic constraints is developed, following the ideas of the authors in previous papers.
Cariñena, J. F. +5 more
core +1 more source
Frontiers in Computational Neuroscience, 2018 Success in the fine control of the nervous system depends on a deeper understanding of how neural circuits control behavior. There is, however, a wide gap between the components of neural circuits and behavior.
Nima Dehghani, Nima Dehghani
doaj +1 more source
Data-driven dynamics reconstruction using RBF network
Machine Learning: Science and Technology, 2023 Constructing the governing dynamical equations of complex systems from observational data is of great interest for both theory and applications. However, it is a difficult inverse problem to explicitly construct the dynamical equations for many real ...
Cong-Cong Du +3 more
doaj +1 more source
arXiv, 1999 This short note is devoted to the representative dynamics, which realizes a link between the theory of controlled systems and representation theory. Dynamical inverse problem of representation theory for controlled systems is considered: to solve it means to correspond a representative dynamics to the controlled system.
arxiv
Rare events, exponential hitting times and extremal indices via spectral perturbation [PDF]
Dynamical Systems: An International Journal 27 (2012), 11-27, 2012 We discuss how an eigenvalue perturbation formula for transfer operators of dynamical systems is related to exponential hitting time distributions and extreme value theory for processes generated by chaotic dynamical systems. We also list a number of piecewise expanding systems to which this general theory applies and discuss the prospects to apply ...
arxiv
A Lax Functorial Definition of Open Dynamics [PDF]
arXiv, 2018 This paper provides a rewording in the language of lax-functors of the definition of open dynamics given in our systemic theory of interactivity exposed in previous papers.
arxiv
Approximate Dynamical Systems [PDF]
arXiv, 2013 Working notes on setting up approximate dynamical systems and nonlinear eigenvalue problems, here embedded within the theory of complex nonlinear dynamics. Computations parallel those of linear quantum theory except that we use functional methods rather than Hilbert space.
arxiv