Vibrational resonance: a study with high-order word-series averaging
نویسندگان
چکیده
منابع مشابه
Vibrational control without averaging
The standard approach to vibrational control applies first-order averaging methods to find an openloop periodic input that stabilizes an unstable equilibrium point. While the capability of stabilization without feedback is appealing, this formulation has drawbacks from a design perspective. An alternative design framework based on stability maps for second-order linear periodic systems is not a...
متن کاملAveraging and Vibrational Control of Mechanical Systems
This paper investigates averaging theory and oscillatory control for a large class of mechanical systems. A link between averaging and controllability theory is presented by relating the key concepts of averaged potential and symmetric product. Both analysis and synthesis results are presented within a coordinate-free framework based on the theory of affine connections. The analysis focuses on ...
متن کاملHigher-Order Averaging, Formal Series and Numerical Integration I: B-series
We show how B-series may be used to derive in a systematic way the analytical expressions of the high-order stroboscopic averaged equations that approximate the slow dynamics of highly oscillatory systems. For first-order systems we give explicitly the form of the averaged systems with O( j ) errors, j = 1,2,3 (2π denotes the period of the fast oscillations). For second-order systems with large...
متن کاملWord Order in German: A Corpus Study
This paper presents a corpus study of the order between subject and object in German main and embedded clauses. Since prior studies have shown that object-subject (OS) sentences are rare in comparison to subject-object (SO) sentences, for both main and embedded clauses two corpora were assembled: One corpus containing both SO and OS sentences, and a second corpus containing only OS sentences. I...
متن کاملWord Order Acquisition in Persian Speaking Children
Objectives: Persian is a pro-drop language with canonical Subject-Object-Verb (SOV) word order. This study investigates the acquisition of word order in Persian-speaking children. Methods: In the present study, participants were 60 Persian-speaking children (30 girls and 30 boys) with typically developing language skills, and aged between 30-47 months. The 30-minute language samples were audio...
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: Applied Mathematics and Nonlinear Sciences
سال: 2016
ISSN: 2444-8656
DOI: 10.21042/amns.2016.1.00018