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Challenges and strategies for first-principles simulations of two-dimensional magnetic phenomena.
NanoscaleGarrido Aldea J +3 more
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Chiral Magnon Dynamics in a Kitaev Magnet Revealed by Magneto-Optics
Bachar N +15 more
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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
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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
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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
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Discrete Linear Hamiltonian Systems
1996This chapter is an introduction to Martin Bohner’s approach to the discrete linear Hamiltonian system $$\begin{array}{*{20}{c}} {\Delta y\left( t \right) = A\left( t \right)y\left( {t + 1} \right) + B\left( t \right)z\left( t \right)} \\ {\Delta z\left( t \right) = C\left( t \right)y\left( {t + 1} \right) - A*\left( t \right)z\left( t \right ...
Calvin D. Ahlbrandt, Allan C. Peterson
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Nonautonomous Linear Hamiltonian Systems
2016In this chapter, the framework of analysis of the book is described, and the many foundational facts required for this analysis are stated. The first two sections present fundamental notions and properties of topological dynamics and ergodic theory, as well as basic results concerning spaces of matrices, the Grassmannian and Lagrangian manifolds, and ...
Russell Johnson +4 more
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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.
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Kinematic moment invariants for linear Hamiltonian systems
Physical Review Letters, 1990Summary: Quadratic moments of a particle distribution being transported through a linear Hamiltonian system are considered. A complete set of kinematic invariants made out of these moments are constructed leading to the discovery of new invariants.
Neri, Filippo, Rangarajan, Govindan
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