Results 21 to 30 of about 107,633 (324)
On the periodic orbits of Hamiltonian systems [PDF]
Journal of Mathematical Physics, 2010 We show how to apply to Hamiltonian differential systems recent results for studying the periodic orbits of a differential system using the averaging theory. We have chosen two classical integrable Hamiltonian systems, one with the Hooke potential and the other with the Kepler potential, and we study the periodic orbits which bifurcate from the ...
Llibre, Jaume, Rodrigues, Ana
openaire +4 more sources
Optimal Stabilization of Periodic Orbits
IFAC-PapersOnLine, 2023 Submitted for a journal on November 29 ...
Beck, Fabian, Sakamoto, Noboru
openaire +3 more sources
Mathematics, 2020 In this work, we solve the problem of the coexistence of periodic orbits in homogeneous Boolean graph dynamical systems that are induced by a maxterm or a minterm (Boolean) function, with a direct underlying dependency graph.
Juan A. Aledo +3 more
doaj +1 more source
Families of Periodic Delay Orbits
Journal of Differential Equations, 2023 21 pages, 11 ...
Peter Albers +2 more
openaire +2 more sources
High-Precision Continuation of Periodic Orbits
Abstract and Applied Analysis, 2012 Obtaining periodic orbits of dynamical systems is the main source of information about how the orbits, in general, are organized. In this paper, we extend classical continuation algorithms in order to be able to obtain families of periodic orbits with ...
Ángeles Dena +3 more
doaj +1 more source
Centre Bifurcations for a Three Dimensional System with Quadratic Terms
Zanco Journal of Pure and Applied Sciences, 2020 This article is devoted to study the bifurcated periodic orbits from centre for a differential equation of third order. Sufficient conditions for the existence of a centre are obtained by using inverse Jacobi multiplier.
Rizgar Haji Salih +2 more
doaj +3 more sources
Aerospace, 2022 We investigate the topological types and bifurcations of periodic orbits in the gravitational field of irregular bodies by the well-known two parameter analysis method.
Yongjie Liu, Yu Jiang, Hengnian Li
doaj +1 more source
Beyond the periodic orbit theory [PDF]
Nonlinearity, 1998 The global constraints on chaotic dynamics induced by the analyticity of smooth flows are used to dispense with individual periodic orbits and derive infinite families of exact sum rules for several simple dynamical systems. The associated Fredholm determinants are of particularly simple polynomial form.
Cvitanovic, P. +3 more
openaire +5 more sources
Numerical Investigation for Periodic Orbits in the Hill Three-Body Problem
Universe, 2020 The current work performs a numerical study on periodic motions of the Hill three-body problem. In particular, by computing the stability of its basic planar families we determine vertical self-resonant (VSR) periodic orbits at which families of three ...
Vassilis S. Kalantonis
doaj +1 more source
Periodic orbits in warped disks [PDF]
Astronomy & Astrophysics, 2001 It is often assumed that a warped galaxy can be modeled by a set of rings. This paper verifies numerically the validity of this assumption by the study of periodic orbits populating a heavy self-gravitating warped disk. The phase space structure of a warped model reveals that the circular periodic orbits of a flat disk are transformed in quasi annular ...
Yves Revaz, Daniel Pfenniger
openaire +4 more sources