Results 141 to 150 of about 36,265 (314)
Singular boundary value problems for linear Hamiltonian systems depending on a parameter
Truman W Prevatt
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Lie-transform derivation of the gyrokinetic Hamiltonian system [PDF]
Allan N. Kaufman, Bruce M. Boghosian
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Designing Memristive Materials for Artificial Dynamic Intelligence
Key characteristics required of memristors for realizing next‐generation computing, along with modeling approaches employed to analyze their underlying mechanisms. These modeling techniques span from the atomic scale to the array scale and cover temporal scales ranging from picoseconds to microseconds. Hardware architectures inspired by neural networks
Youngmin Kim, Ho Won Jang
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C1 non-integrability of a hydrogen atom in a circularly polarized microwave field
Guirao Juan, López Miguel, Vera Juan
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Non-homogeneous BVPs for second-order symmetric Hamiltonian systems
By making use of Bolle’s method, we show that the following problem has infinitely many solutions: x¨+V′(x)=0,x(0)cosα−x˙(0)sinα=x0,x(1)cosβ−x˙(1)sinβ=x1,\begin{array}{rcl}\ddot{x}+{V}^{^{\prime} }\left(x)& =& 0,\\ x\left(0)\cos \alpha -\dot{x}\left(0 ...
Chen Yingying, Dong Yujun, Wang Baiqian
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Contact Hamiltonian systems are a generalization of the Hamiltonian systems of classical mechanics. The action is added as an extra variable in phase space, and symplecticgeometry is changed by contact geometry. In this way, we are able to model a largenew class of Hamiltonian systems.
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Applied Artificial Intelligence in Materials Science and Material Design
AI‐driven methods are transforming materials science by accelerating material discovery, design, and analysis, leveraging large datasets to enhance predictive modeling and streamline experimental techniques. This review highlights advancements in AI applications across spectroscopy, microscopy, and molecular design, enabling efficient material ...
Emigdio Chávez‐Angel+7 more
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The second Birkhoff theorem for optical Hamiltonian systems [PDF]
Leonid Polterovich
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Energy‐Efficient Knapsack Optimization Using Probabilistic Memristor Crossbars
The knapsack problem, a nondeterministic polynomial‐time (NP)‐hard combinatorial optimization problem, is solved energy‐efficiently. This work presents an algorithm‐hardware co‐design and implementation for practical (non‐ideal) NP‐hard problems with destabilizing self‐feedback (non‐zero diagonal) and non‐binary Hamiltonian representations under analog
Jinzhan Li, Suhas Kumar, Su‐in Yi
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Disturbation to Lie symmetry for constrained Hamiltonian system within Agrawal’s operators
Lie theorem for a constrained Hamiltonian system under Agrawal’s operators is studied and proved. First, two fractional singular systems are listed.
Shi-Lei Shen, Chuan-Jing Song
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