Transition curves in a parametrically excited pendulum with a force of elliptic type
نویسندگان
چکیده
منابع مشابه
Locating Oscillatory Orbits of the Parametrically-excited Pendulum
A method is considered for locating oscillating, nonrotating solutions for the parametricallyexcited pendulum by inferring that a particular horseshoe exists in the stable and unstable manifolds of the local saddles. In particular, odd-periodic solutions are determined which are difficult to locate by alternative numerical techniques. A pseudo-Anosov braid is also located which implies the exis...
متن کاملComplicated Regular and Chaotic Motions of the Parametrically Excited Pendulum
Several new types of regular and chaotic behavior of the parametrically driven pendulum are discovered with the help of computer simulations. A simple physical explanation is suggested to the phenomenon of subharmonic resonances. The boundaries of these resonances in the parameter space and the spectral composition of corresponding stationary oscillations are determined theoretically and verifi...
متن کاملprevalence of atopic dermatitis in children with type 1 diabetes mellitus in southeastern of iran (kerman province): a case-control study
چکیده ندارد.
15 صفحه اولSymbolic Computation of Secondary Bifurcations in a Parametrically Excited Simple Pendulum
A symbolic computational technique is used to study the secondary bifurcations of a parametrically excited simple pendulum as an explicit function of the periodic parameter. This is made possible by the recent development of an algorithm which approximates the fundamental solution matrix of linear time-periodic systems in terms of system parameters in symbolic form. By evaluating this matrix at...
متن کاملOn Silverman's conjecture for a family of elliptic curves
Let $E$ be an elliptic curve over $Bbb{Q}$ with the given Weierstrass equation $ y^2=x^3+ax+b$. If $D$ is a squarefree integer, then let $E^{(D)}$ denote the $D$-quadratic twist of $E$ that is given by $E^{(D)}: y^2=x^3+aD^2x+bD^3$. Let $E^{(D)}(Bbb{Q})$ be the group of $Bbb{Q}$-rational points of $E^{(D)}$. It is conjectured by J. Silverman that there are infinitely many primes $p$ for which $...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2012
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2012.0328