Results 1 to 10 of about 1,473,593 (266)

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.
W. A. Mulder
openalex   +4 more sources

On the noise-induced passage through an unstable periodic orbit II: General case [PDF]

SIAM Journal on Mathematical Analysis, 2013
Consider a dynamical system given by a planar differential equation, which exhibits an unstable periodic orbit surrounding a stable periodic orbit. It is known that under random perturbations, the distribution of locations where the system's first exit ...
Barbara Gentz, Berglund N., Berglund N., Birkhoff G., Cérou F., Day M. V., Jentzsch R., Nils Berglund, Rinzel J., Yaglom A. M.   +9 more
core   +4 more sources

Semiclassical quantization of nonseparable systems: A new look at periodic orbit theory [PDF]

, 1975
A modified version of Gutzwiller’s periodic orbit theory of semiclassical eigenvalues is presented which eliminates some of the principal shortcomings of the original result.
William H. Miller
openalex   +2 more sources

Beyond the periodic orbit theory [PDF]

Nonlinearity, 1997
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.
Anderson G, Artin E, Artuso R, Artuso R, Artuso R, Balmforth N J, Casati G, Christiansen F, Contucci P, Cvitanovic P, Cvitanovic P, Cvitanovic P, Cvitanovic P, Cvitanovic P, Cvitanovic P, Devaney R L, Eremenko A, Eremenko A É, Fatou P, Fatou P, Fatou P, Feigenbaum M J, Feigenbaum M J, Gutzwiller M C, Gábor Vattay, Halsey T C, Hannay J H, Hatjispiros S, Jiang Y, Julia G, Juri Rolf, Kim Hansen, Knauf A, Levin G, Levin G, MacKay R S, Mayer D H, Nielsen S F, Peitgen H-O, Pollicott M, Predrag Cvitanovic, Rolf J, Ruelle D, Ruelle D, Rugh H H, Williams G T   +45 more
core   +9 more sources

Periodic and homoclinic orbits in a toy climate model [PDF]

Nonlinear Processes in Geophysics, 1994
A two dimensional system of autonomous nonlinear ordinary differential equations models glacier growth and temperature changes on an idealized planet.
M. Toner, A. D. Kirwan, Jr.
doaj   +3 more sources

Periodic Orbits in Polygonal Billiards [PDF]

Pramana, 1996
We review some properties of periodic orbit families in polygonal billiards and discuss in particular a sum rule that they obey. In addition, we provide algorithms to determine periodic orbit families and present numerical results that shed new light on ...
A Selberg, D Biswas, D Biswas, D Biswas, D Biswas, Debabrata Biswas, E Gutkin, H Masur, H-J Stockmann, J B Keller, J H Hannay, J Vega, M C Gutzwiller, M V Berry, N Balazs, N D Whelan, P J Richens, S Sridhar, T Cheon, W A Veech   +19 more
core   +4 more sources

Decimation and Harmonic Inversion of Periodic Orbit Signals [PDF]

, 1999
We present and compare three generically applicable signal processing methods for periodic orbit quantization via harmonic inversion of semiclassical recurrence functions.
Berry M V, Berry M V, Berry M V, Berry M V, Berry M V, Bogomolny E B, Cvitanovic P, Dz Belkic, Edwards H M, Gutzwiller M C, Gutzwiller M C, Gutzwiller M C, H S Taylor, J Main, Main J, Main J, Main J, P A Dando, Press W H, Silverstein S D, Titchmarsh E C, Voros A   +21 more
core   +5 more sources

CONSTRUCTION OF ORBITS ASYMPTOTIC TO A PERIODIC ORBIT

The Astronomical Journal, 1969
: In the immediate neighborhood of an unstable periodic orbit, the families of orbits asymptotic to it may be expanded in power series of an orbital parameter, the coefficients being successive variations of increasing order from the generating orbit ...
A. Deprit, J. Henrard
semanticscholar   +4 more sources

Unstable periodic orbits and attractor of the barotropic ocean model [PDF]

Nonlinear Processes in Geophysics, 1998
A numerical method for detection of unstable periodic orbits on attractors of nonlinear models is proposed.  The method requires similar techniques to data assimilation.  This fact facilitates its implementation for geophysical models.  ...
E. Kazantsev
doaj   +3 more sources

Semiclassical Quantization by Pade 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.
Baker G. A., Belkic Dz., Berry M. V., Berry M. V., Cvitanovic P., D Belkić, Eckhardt B., Eckhardt B., Gutzwiller M. C., H. S Taylor, J Main, Longman I. M., Main J., P. A Dando, Shanks D., Wirzba A.   +15 more
core   +3 more sources