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On the existence of homoclinic orbits on Riemannian manifolds
Ergodic Theory and Dynamical Systems, 1994AbstractWe prove the existence of a non-trivial homoclinic orbit on a Riemannian manifold (possibly non-compact), for Hamiltonian systems of the second order of the form:where the potential V is T-periodic in the time variable.
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The existence of homoclinic orbits in Hamiltonian inclusions
Nonlinear Analysis: Theory, Methods & Applications, 2001The author considers the following Hamiltonian inclusion \[ \dot z(t)\in J\partial H\bigl(t,z(t)\bigr), \tag{P} \] where \(H(t,\cdot)\): \(\mathbb{R}^{2n} \to\mathbb{R}\) is locally Lipschitz continuous, \(\partial H\) is the Clarke generalized gradient of \(H\) [\textit{F. H.
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A Homoclinic Orbit for the Double Pendulum
1999We consider a Hamiltonian system of two connected pendulums for the case of small mass of the second oscillator. We are interested in a homoclinic orbit for such system and present the equation for it.
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Spin-orbit torques: Materials, mechanisms, performances, and potential applications
Progress in Materials Science, 2021Ruiqi Zhang, Yunfeng You
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Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
Reviews of Modern Physics, 2019Aurelien Manchon +2 more
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Emergent phenomena induced by spin–orbit coupling at surfaces and interfaces
Nature, 2016Anjan Soumyanarayanan +2 more
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Magnetization switching by spin–orbit torque in an antiferromagnet–ferromagnet bilayer system
Nature Materials, 2016Shunsuke Fukami +2 more
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Symmetry and magnitude of spin–orbit torques in ferromagnetic heterostructures
Nature Nanotechnology, 2013Kevin Garello +2 more
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Correlated Quantum Phenomena in the Strong Spin-Orbit Regime
Annual Review of Condensed Matter Physics, 2014William Witczak-Krempa +2 more
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