Results 261 to 270 of about 19,239 (301)
Some of the next articles are maybe not open access.
Linearization of Hamiltonian and Gradient Systems
IMA Journal of Mathematical Control and Information, 1984Necessary and sufficient conditions are derived in order to transform a nonlinear Hamiltonian or gradient system by a change of coordinates of its state space into a linear Hamiltonian or gradient system. It is shown that such a transformaion necessarily respects the symplectic or metrical structure. The conditions are given in terms of the observation
openaire +3 more sources
Decomposition of linear port-Hamiltonian systems
Proceedings of the 2011 American Control Conference, 2011It is well known that the power conserving interconnection of finite dimensional port-Hamiltonian systems is also a port-Hamiltonian system. Given a linear port-Hamiltonian system, this paper proposes conditions under which the control system can be expressed as a composition of two linear port-Hamiltonian systems.
K. Höffner, Martin Guay
openaire +1 more source
GKN theory for linear Hamiltonian systems
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhaowen Zheng, Shaozhu Chen
openaire +2 more sources
2009
In this chapter we study Hamiltonian systems which are linear differential equations. Many of the basic facts about Hamiltonian systems and symplectic geometry are easy to understand in this simple context. The basic linear algebra introduced in this chapter is the cornerstone of many of the later results on nonlinear systems. Some of the more advanced
Kenneth Meyer, Glen Hall, Dan Offin
openaire +1 more source
In this chapter we study Hamiltonian systems which are linear differential equations. Many of the basic facts about Hamiltonian systems and symplectic geometry are easy to understand in this simple context. The basic linear algebra introduced in this chapter is the cornerstone of many of the later results on nonlinear systems. Some of the more advanced
Kenneth Meyer, Glen Hall, Dan Offin
openaire +1 more source
Asymptotically linear Hamiltonian system
Nonlinear Analysis: Real World Applications, 2013a b s t r a c t We investigate the multiplicity of solutions for the Hamiltonian system with some asymptotically linear conditions. We get a theorem which shows the existence of at least three 2π -periodic solutions for the asymptotically linear Hamiltonian system.
Tacksun Jung, Q-Heung Choi
exaly +2 more sources
Oscillation results for linear Hamiltonian systems
Applied Mathematics and Computation, 2002The author considers linear Hamiltonian systems. He uses the generalized Riccati technique and establishes some new oscillation criteria of Philos and Kamenev types. The results improve some of the well-known results in the literature. Some examples are considered to illustrate the main results.
openaire +2 more sources
Oscillation theorems for linear matrix Hamiltonian systems
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fanwei Meng, Zhaowen Zheng
exaly +3 more sources
1990
Consider a system of m linear equations with continuous T -periodic coefficients: $$ \dot x = M\left( t \right)x $$ (1) where M (t) is a real m × m matrix, depending continuously on t ∈ ℝ such that: $$ M\left( {t + T} \right) = M\left( t \right) $$ (2) .
openaire +1 more source
Consider a system of m linear equations with continuous T -periodic coefficients: $$ \dot x = M\left( t \right)x $$ (1) where M (t) is a real m × m matrix, depending continuously on t ∈ ℝ such that: $$ M\left( {t + T} \right) = M\left( t \right) $$ (2) .
openaire +1 more source
On the Linearization of Hamiltonian Systems on Poisson Manifolds
Mathematical Notes, 2005Let \((M,\{.,.\},H)\) be a Hamilton-Poisson system. Acording to the general scheme, the linearization procedure applied to the dynamical system \((M,X_H)\) defines a vector field Var\((X_H)\) on the tangent bundle \(TM\). Let \((N,\omega)\) be a closed symplectic leaf of \((M,\{.,.\})\), \(T_{N}M\) the restriction of the tangent bundle \(TM\) to the ...
openaire +2 more sources
On inhomogeneous linear automorphisms of simple hamiltonian systems
Annali di Matematica Pura ed Applicata, 1975The present paper is concerned with the inhomogeneous linear automorphisms of simple Hamiltonian systems. The generating functions of these automorphisms are obtained for the systems which admit the scalar-preserving isometry groups of higher orders. The Lie algebras of the corresponding infinitesimal automorphisms are classified into two types, the ...
Ikeda, Mineo, Iwai, Toshihiro
openaire +2 more sources