Results 41 to 50 of about 1,446,784 (362)
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
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Periodic orbits around a spherically symmetric naked singularity [PDF]
, 2017 The motion of time-like test particles in the Fisher/Janis-Newman-Winicour (F/JNW) spacetime is studied with the Hamiltonian formulation of the geodesic equations. The spacetime is characterised by its mass parameter $r_g$ and scalar field parameter $\nu$
Gulmina Zaman Babar, A. Z. Babar, Y. Lim
semanticscholar +1 more source
Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto-Sivashinsky Equation [PDF]
SIAM Journal on Applied Dynamical Systems, 2016 We present numerical results and computer assisted proofs of the existence of periodic orbits for the Kuramoto-Sivashinky equation. These two results are based on writing down the existence of periodic orbits as zeros of functionals.
Jordi-Lluís Figueras, R. Llave
semanticscholar +1 more source
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
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Periodic Orbits and Warps [PDF]
Symposium - International Astronomical Union, 1983 Orbit calculations were done in a rotating triaxial system with a density distribution in accordance with recent observations of spiral galaxies. A search was made for simple closed orbits which are tilted with respect to the plane of the galaxy. A family of stable prograde tilted orbits was found which can explain warps as stationary phenomena.
openaire +3 more sources
Relative periodic orbits form the backbone of turbulent pipe flow [PDF]
Journal of Fluid Mechanics, 2015 The chaotic dynamics of low-dimensional systems, such as Lorenz or Rössler flows, is guided by the infinity of periodic orbits embedded in their strange attractors.
N. B. Budanur +4 more
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Input-to-State Stability of Periodic Orbits of Systems With Impulse Effects via Poincaré Analysis
IEEE Transactions on Automatic Control, 2019 In this paper, we investigate the relation between robustness of periodic orbits exhibited by systems with impulse effects and robustness of their corresponding Poincaré maps.
Sushant Veer, I. Poulakakis
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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 H. Salih +2 more
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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
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On the fixed points of a Hamiltonian diffeomorphism in presence of fundamental group [PDF]
, 2014 Let M be a weakly monotone symplectic manifold, and H be a time-dependent Hamiltonian; we assume that the periodic orbits of the corresponding time-dependent Hamiltonian vector field are non-degenerate.
Ono, Kaoru, Pajitnov, Andrei
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