Results 41 to 50 of about 1,426,127 (317)
New periodic orbits in the solar sail three-body problem [PDF]
, 2011 We identify displaced periodic orbits in the circular restricted three-body problem, wher the third (small) body is a solar sail. In particular, we consider solar sail orbits in the earth-sun system which are high above the exliptic plane.
C.R. McInnes +7 more
core +1 more source
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
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
Measuring scars of periodic orbits [PDF]
Physical Review E, 1999 The phenomenon of periodic orbit scarring of eigenstates of classically chaotic systems is attracting increasing attention. Scarring is one of the most important "corrections" to the ideal random eigenstates suggested by random matrix theory. This paper discusses measures of scars and in so doing also tries to clarify the concepts and effects of ...
Lev Kaplan, Eric J. Heller
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
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
semanticscholar +1 more source
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
semanticscholar +1 more source
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
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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
doaj +3 more sources