Results 311 to 320 of about 1,516,190 (385)

Normal Form Invariants Around Spin-Orbit Periodic Orbits

Celestial Mechanics and Dynamical Astronomy, 2000
The authors consider an oblate satellite orbiting a central planet with \(T_{\text{rev}}\) the period of revolution. The satellite rotates about an internal spin axis with rotational period \(T_{\text{rot}}\). A spin-orbit resonance occurs when the ratio \(T_{\text{rev}}/T_{\text{rot}}\) is a rational number.
CELLETTI, ALESSANDRA, Falcolini, C.
openaire   +4 more sources

Semiclassical quantization by Padé approximant to periodic orbit sums

, 1999
Periodic orbit quantization requires an analytic continuation of non-convergent semiclassical trace formulae. We propose a method for semiclassical quantization based upon the Pade approximant to the periodic orbit sums.
J. Main, P. Dando, D. Belkić, H. Taylor
semanticscholar   +1 more source

Theoretical design of controlled digitized chaotic systems with periodic orbit of upper limit length in digital circuit

Nonlinear dynamics, 2019
Chuanfu Wang, Q. Ding
semanticscholar   +1 more source

Periodic orbit analysis for the delayed Filippov system

Proceedings of the American Mathematical Society, 2018
Zuowei Cai, Jianhua Huang, Lihong Huang
semanticscholar   +1 more source

Periodic Orbits Near Homoclinic Orbits

1982
It is known that the orbit-structure of a dynamical system near a homoclinic orbit γ is extremely complicated. However, it is only recently that this complicated structure has begun to be understood. It has been shown (under some hypotheses) that, near γ there are infinitely many long periodic orbits. The flow, near γ, admits a singular Poincare map o:
openaire   +1 more source

Finding Periodic Orbits

1994
An intensively used method for finding periodic orbits is Newton’s method and variants thereof. We describe Newton’s method and the Quasi-Newton method later in this section. Newton→s method uses the initialization point y1, marked by the small cross, as its initial point.
Helena E. Nusse, James A. Yorke, Eric J. Kostelich   +2 more
openaire   +1 more source

Stationkeeping strategy for quasi-periodic orbit around Earth–Moon L2 point

Chinese Control and Decision Conference, 2016
Y. Qian, Yue Liu, W. Zhang, Xiaodong Yang, M. Yao   +4 more
semanticscholar   +1 more source

Following Periodic Orbits

1994
As a parameter of a map is varied, periodic orbits are often seen to appear and shift in position and perhaps period double or blink out of existence. The orbit-following capability is for tracing their behavior as a parameter is varied. The orbit following routine runs for two dimensional maps, including for example the time-2π maps of periodically ...
Helena E. Nusse, James A. Yorke, Eric J. Kostelich   +2 more
openaire   +1 more source

Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit

SIAM Journal on Applied Dynamical Systems, 2012
A. Champneys, E. Knobloch, Yi-ping Ma, T. Wagenknecht   +3 more
semanticscholar   +1 more source

Variations in the Earth's Orbit: Pacemaker of the Ice Ages

Science, 1976
J. D. Hays, J. Imbrie, N. Shackleton
semanticscholar   +1 more source