Conformal maps, monodromy transformations, and non-reversible Hamiltonian systems

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Conformal Maps, Monodromy Transformations, and Non-reversible Hamiltonian Systems

According to Arnol’d and Sevryuk, a Hamiltonian vector field XH is said to be weakly reversible if φ∗XH = −XH for some germ φ of real analytic transformation with φ(0) = 0, while XH is reversible if additionally φ is an involution, i.e., φ = Id. One also says that α1, . . . , αn are non-resonant, if k · α ≡ k1α1 + · · · + knαn = 0 (3) for all integers kj with k = (k1, . . . , kn) = 0. The main ...

متن کامل

Conformal Hamiltonian Systems

Vector fields whose flow preserves a symplectic form up to a constant, such as simple mechanical systems with friction, are called “conformal”. We develop a reduction theory for symmetric conformal Hamiltonian systems, analogous to symplectic reduction theory. This entire theory extends naturally to Poisson systems: given a symmetric conformal Poisson vector field, we show that it induces two r...

متن کامل

Reversible measure-preserving integrators for non-Hamiltonian systems.

We present a systematic method for deriving reversible measure-preserving integrators for non-Hamiltonian systems such as the Nosé-Hoover thermostat and generalized Gaussian moment thermostat (GGMT). Our approach exploits the (non-Poisson) bracket structure underlying the thermostat equations of motion. Numerical implementation for the GGMT system shows that our algorithm accurately conserves t...

متن کامل

Quasiconformal distortion of projective transformations and discrete conformal maps

We consider the quasiconformal dilatation of projective transformations of the real projective plane. For non-affine transformations, the contour lines of dilatation form a hyperbolic pencil of circles, and these are the only circles that are mapped to circles. We apply this result to analyze the dilatation of the circumcircle preserving piecewise projective interpolation between discretely con...

متن کامل

Conformal maps and non-reversibility of elliptic area-preserving maps

It has been long observed that area-preserving maps and reversible maps share similar results. This was certainly known to G.D. Birkhoff [5] who showed that these two types of maps have periodic orbits near a general elliptic fixed point. The KAM theory, developed by Kolmogorov-ArnoldMoser for Hamiltonian systems [9], [1] and area preserving maps [15], has also been extended a great deal to rev...

متن کامل

ذخیره 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: Mathematical Research Letters

سال: 2000

ISSN: 1073-2780,1945-001X

DOI: 10.4310/mrl.2000.v7.n4.a13