Classification of Hamiltonian Linear Systems
نویسندگان
چکیده
منابع مشابه
Linear Hamiltonian systems
We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to external influences, and allows to study systems described by higher-order differential equations, thus dispensing with the usual point of view in c...
متن کاملOscillation of Linear Hamiltonian Systems
We establish new oscillation criteria for linear Hamiltonian systems using monotone functionals on a suitable matrix space. In doing so we develop new criteria for oscillation involving general monotone functionals instead of the usual largest eigenvalue. Our results are new even in the particular case of self-adjoint second order differential systems.
متن کاملSome Examples of Quantized Linear Hamiltonian Systems
For linear Hamiltonian systems, the reconstruction of the Poisson bracket from a given energy function and an Hamiltonian flow leads to simple quantization rules. They can also be used in the infinite dimensional case. From this point of view, we consider the examples of oscillators, free electro-magnetic fields and vibrating strings.
متن کاملOrthosymplectic Integration of Linear Hamiltonian Systems
The authors describe a continuous, orthogonal and symplectic factorization procedure for integrating unstable linear Hamiltonian systems. The method relies on the development of an orthogonal , symplectic change of variables to block triangular Hamiltonian form. Integration is thus carried out within the class of linear Hamiltonian systems. Use of an appropriate timestepping strategy ensures th...
متن کاملSome Oscillation Results for Linear Hamiltonian Systems
The purpose of this paper is to develop a generalized matrix Riccati technique for the selfadjoint matrixHamiltonian systemU′ A t U B t V , V ′ C t U−A∗ t V . By using the standard integral averaging technique and positive functionals, new oscillation and interval oscillation criteria are established for the system. These criteria extend and improve some results that have been required before. ...
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: Indiana University Mathematics Journal
سال: 1973
ISSN: 0022-2518
DOI: 10.1512/iumj.1974.23.23043