Application of the SALI chaos detection method to accelerator mappings
نویسندگان
چکیده
منابع مشابه
Application of the SALI chaos detection method to accelerator mappings
We apply the Smaller ALignment Index (SALI) method to a four-dimensional mapping of accelerator dynamics in order to distinguish rapidly, reliably and accurately between ordered and chaotic motion. The main advantage of this index is that it tends exponentially to zero in the case of chaotic orbits, while it fluctuates around non-zero values in the case of quasiperiodic trajectories. Thus, it a...
متن کامل1 3 D ec 2 00 5 Application of the SALI chaos detection method to accelerator mappings
We apply the Smaller ALignment Index (SALI) method to a 4–dimensional mapping of accelerator dynamics in order to distinguish rapidly, reliably and accurately between ordered and chaotic motion. The main advantage of this index is that it tends exponentially to zero in the case of chaotic orbits, while it fluctuates around non–zero values in the case of quasiperiodic trajectories. Thus, it avoi...
متن کاملStudying the global dynamics of conservative dynamical systems using the SALI chaos detection method
We use the Smaller ALignment Index (SALI) method of chaos detection, to study the global dynamics of conservative dynamical systems described by differential or difference equations. In particular, we consider the well–known 2 and 4–dimensional symplectic standard map, as well as an autonomous Hamiltonian system of 2 and 3 degrees of freedom describing the motion of a star in models of barred g...
متن کاملThe Smaller (SALI) and the Generalized (GALI) Alignment Indices: Efficient Methods of Chaos Detection
We provide a concise presentation of the Smaller (SALI) and the Generalized Alignment Index (GALI) methods of chaos detection. These are efficient chaos indicators based on the evolution of two or more, initially distinct, deviation vectors from the studied orbit. After explaining the motivation behind the introduction of these indices, we sum up the behaviors they exhibit for regular and chaot...
متن کاملDetecting order and chaos in Hamiltonian systems by the SALI method
We use the Smaller Alignment Index (SALI) to distinguish rapidly and with certainty between ordered and chaotic motion in Hamiltonian flows. This distinction is based on the different behavior of the SALI for the two cases: the index fluctuates around non–zero values for ordered orbits, while it tends rapidly to zero for chaotic orbits. We present a detailed study of SALI’s behavior for chaotic...
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: Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
سال: 2006
ISSN: 0168-9002
DOI: 10.1016/j.nima.2006.01.009