The conjugation method in symplectic dynamics
نویسندگان
چکیده
منابع مشابه
the study of bright and surface discrete cavity solitons dynamics in saturable nonlinear media
امروزه سالیتون ها بعنوان امواج جایگزیده ای که تحت شرایط خاص بدون تغییر شکل در محیط منتشر می-شوند، زمینه مطالعات گسترده ای در حوزه اپتیک غیرخطی هستند. در این راستا توجه به پدیده پراش گسسته، که بعنوان عامل پهن شدگی باریکه نوری در آرایه ای از موجبرهای جفت شده، ظاهر می گردد، ضروری است، زیرا سالیتون های گسسته از خنثی شدن پراش گسسته در این سیستم ها بوسیله عوامل غیرخطی بوجود می آیند. گسستگی سیستم عامل...
The split integration symplectic method.
r 0 H H H + = where 0 H is the pure harmonic part and r H is the remaining part. This splitting, incorporated in the second order generalized leapfrog scheme, gives the following approximation for the solution operator of the Hamiltonian system ( ) ( ) ( ) 0 0 r 0 0 t H 2 t H H 2 t t t | x L exp L t exp L exp | x r r ∆ ∆ ∆ + ∆ ≈ which prescribes how to propagate from one point in the phase spac...
متن کاملSymplectic semiclassical wave packet dynamics
The paper gives a symplectic-geometric account of semiclassical Gaussian wave packet dynamics. We employ geometric techniques to “strip away” the symplectic structure behind the time-dependent Schrödinger equation and incorporate it into semiclassical wave packet dynamics. We show that the Gaussian wave packet dynamics of Heller is a Hamiltonian system with respect to the symplectic structure, ...
متن کاملApplication of the Generalized Alignment Index ( GALI ) method to the dynamics of multi – dimensional symplectic maps
We study the phase space dynamics of multi–dimensional symplectic maps, using the method of the Generalized Alignment Index (GALI). In particular, we investigate the behavior of the GALI for a system of N = 3 coupled standard maps and show that it provides an efficient criterion for rapidly distinguishing between regular and chaotic motion.
متن کاملExtended Applicability of the Symplectic Pontryagin Method
Abstract. The Symplectic Pontryagin method was introduced in a previous paper. This work shows that this method is applicable under less restrictive assumptions. Existence of solutions to the Symplectic Pontryagin scheme are shown to exist without the previous assumption on a bounded gradient of the discrete dual variable. The convergence proof uses the representation of solutions to a Hamilton...
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: Revista Matemática Iberoamericana
سال: 2018
ISSN: 0213-2230
DOI: 10.4171/rmi/1048