Matches in SemOpenAlex for { <https://semopenalex.org/work/W1609134698> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W1609134698 abstract "Modern differential geometric techniques are used to unify the physical asymptotics underlying mechanics, wave theory and statistical mechanics. The approach gives new insights into the structure of physical theories and is suited to the needs of modern large-scale computer simulation and symbol manipulation systems. A coordinate-free formulation of non-singular perturbation theory is given, from which a new Hamiltonian perturbation structure is derived and related to the unperturbed structure. The theory of perturbations in the presence of symmetry is developed, and the method of averaging is related to reduction by a circle group action. The pseudo-forces and magnetic Poisson bracket terms due to reduction are given a natural asymptotic interpretation. Similar terms due to changing reference frames are related to the method of variation of parameters, which is also given a Hamiltonian formulation. These methods are used to answer a question about nearly periodic systems. The answer leads to a new secular perturbation theory that contains no ad hoc elements. Eikonal wave theory is given a Hamiltonian formulation that generalizes Whitham's Lagrangian approach. The evolution of wave action density on ray phase space is given a Hamiltonian structure using a Lie-Poisson bracket. The relationship between dissipative and Hamiltonian systems is discussed. A new type of attractor is defined which attracts both forward and backward in time and is shown to occur in infinite-dimensional Hamiltonian systems with dissipative behavior. The theory of Smale horseshoes is applied to gyromotion in the neighborhood of a magnetic field reversal and the phenomenon of reinsertion in area-preserving horseshoes is introduced. The central limit theorem is proved by renormalization group techniques. A natural symplectic structure for thermodynamics is shown to arise asymptotically from the maximum entropy formalism." @default.
- W1609134698 created "2016-06-24" @default.
- W1609134698 creator A5047251245 @default.
- W1609134698 date "1985-04-04" @default.
- W1609134698 modified "2023-10-17" @default.
- W1609134698 title "Geometric perturbation theory and plasma physics" @default.
- W1609134698 doi "https://doi.org/10.2172/5171541" @default.
- W1609134698 hasPublicationYear "1985" @default.
- W1609134698 type Work @default.
- W1609134698 sameAs 1609134698 @default.
- W1609134698 citedByCount "1" @default.
- W1609134698 crossrefType "report" @default.
- W1609134698 hasAuthorship W1609134698A5047251245 @default.
- W1609134698 hasBestOaLocation W16091346983 @default.
- W1609134698 hasConcept C109798219 @default.
- W1609134698 hasConcept C121332964 @default.
- W1609134698 hasConcept C121770821 @default.
- W1609134698 hasConcept C126255220 @default.
- W1609134698 hasConcept C130787639 @default.
- W1609134698 hasConcept C134306372 @default.
- W1609134698 hasConcept C151342819 @default.
- W1609134698 hasConcept C15184713 @default.
- W1609134698 hasConcept C188845816 @default.
- W1609134698 hasConcept C206183056 @default.
- W1609134698 hasConcept C206444204 @default.
- W1609134698 hasConcept C33923547 @default.
- W1609134698 hasConcept C37914503 @default.
- W1609134698 hasConcept C51568863 @default.
- W1609134698 hasConcept C62520636 @default.
- W1609134698 hasConcept C74650414 @default.
- W1609134698 hasConcept C84114770 @default.
- W1609134698 hasConcept C99692599 @default.
- W1609134698 hasConceptScore W1609134698C109798219 @default.
- W1609134698 hasConceptScore W1609134698C121332964 @default.
- W1609134698 hasConceptScore W1609134698C121770821 @default.
- W1609134698 hasConceptScore W1609134698C126255220 @default.
- W1609134698 hasConceptScore W1609134698C130787639 @default.
- W1609134698 hasConceptScore W1609134698C134306372 @default.
- W1609134698 hasConceptScore W1609134698C151342819 @default.
- W1609134698 hasConceptScore W1609134698C15184713 @default.
- W1609134698 hasConceptScore W1609134698C188845816 @default.
- W1609134698 hasConceptScore W1609134698C206183056 @default.
- W1609134698 hasConceptScore W1609134698C206444204 @default.
- W1609134698 hasConceptScore W1609134698C33923547 @default.
- W1609134698 hasConceptScore W1609134698C37914503 @default.
- W1609134698 hasConceptScore W1609134698C51568863 @default.
- W1609134698 hasConceptScore W1609134698C62520636 @default.
- W1609134698 hasConceptScore W1609134698C74650414 @default.
- W1609134698 hasConceptScore W1609134698C84114770 @default.
- W1609134698 hasConceptScore W1609134698C99692599 @default.
- W1609134698 hasLocation W16091346981 @default.
- W1609134698 hasLocation W16091346982 @default.
- W1609134698 hasLocation W16091346983 @default.
- W1609134698 hasLocation W16091346984 @default.
- W1609134698 hasOpenAccess W1609134698 @default.
- W1609134698 hasPrimaryLocation W16091346981 @default.
- W1609134698 hasRelatedWork W132983346 @default.
- W1609134698 hasRelatedWork W1630907557 @default.
- W1609134698 hasRelatedWork W1700347544 @default.
- W1609134698 hasRelatedWork W2006323999 @default.
- W1609134698 hasRelatedWork W2009104623 @default.
- W1609134698 hasRelatedWork W2077855911 @default.
- W1609134698 hasRelatedWork W2602297616 @default.
- W1609134698 hasRelatedWork W2950025810 @default.
- W1609134698 hasRelatedWork W3098670739 @default.
- W1609134698 hasRelatedWork W3104129854 @default.
- W1609134698 isParatext "false" @default.
- W1609134698 isRetracted "false" @default.
- W1609134698 magId "1609134698" @default.
- W1609134698 workType "report" @default.