Topological Invariant of Integrable Hamiltonian System on Cone Located in a Potential Field by Ghorbanali Haghiighatdoost

Subjects: “…hamiltonian system…”
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Conservation Laws for a Delayed Hamiltonian System in a Time Scales Version by Xiang-Hua Zhai, Yi Zhang

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Homoclinic solutions for second order Hamiltonian systems with general potentials near the origin by Qingye Zhang

Subjects: “…hamiltonian system…”
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Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities by Kuang Juhong, Chen Weiyi

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Basin Entropy and Shearless Barrier Breakup in Open Non-Twist Hamiltonian Systems by Leonardo C. Souza, Amanda C. Mathias, Pedro Haerter, Ricardo L. Viana

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Multiplicity of symmetric brake orbits of asymptotically linear symmetric reversible Hamiltonian systems by Jiachen Mu, Duanzhi Zhang

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Homoclinic solutions for a class of non-periodic second order Hamiltonian systems by Jian Ding, Junxiang Xu, Fubao Zhang

“…We study the existence of homoclinic solutions for the second order Hamiltonian system $\ddot{u}+V_{u}(t,u)=f(t)$. Let $V(t,u)=-K(t,u)+W(t,u)\in C^{1}(\mathbb{R}\times\mathbb{R}^{n}, \mathbb{R})$ be $T$-periodic in $t$, where $K$ is a quadratic growth function and $W$ may be asymptotically quadratic or super-quadratic at infinity. …”
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Basic Notions of Poisson and Symplectic Geometry in Local Coordinates, with Applications to Hamiltonian Systems by Alexei A. Deriglazov

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Melnikov functions and limit cycle bifurcations for a class of piecewise Hamiltonian systems by Wenwen Hou, Maoan Han

“…This study evaluated the number of limit cycles for a class of piecewise Hamiltonian systems with two zones separated by two semi-straight lines. …”
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Robust Fault-Tolerant Control for Stochastic Port-Hamiltonian Systems against Actuator Faults by Song Xu, Wei Wang, Sheng-Yuan Chen

Subjects: “…stochastic port-Hamiltonian systems…”
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Homoclinic orbits for a class of second-order Hamiltonian systems with concave-convex nonlinearities by Dong-Lun Wu, Chun-Lei Tang, Xing-Ping Wu

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A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems by Mingliang Song, Runzhen Li

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Limit Cycles of Discontinuous Piecewise Differential Hamiltonian Systems Separated by a Straight Line by Joyce A. Casimiro, Jaume Llibre

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Homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign nonlinearities by Dong-Lun Wu

Subjects: “…asymptotically autonomous hamiltonian systems…”
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Periodic solutions of a class of non-autonomous second-order discrete Hamiltonian systems by Huiting He, Chungen Liu, Jiabin Zuo

“…<p>In this paper, in the view of control functions, the existence of periodic solutions of the following second-order discrete Hamiltonian system</p> <p class="disp_formula">$ \bigtriangleup ^{2} u(n-1) = \nabla F(n, u(n)), \ \ n\in \mathbb{Z} $</p> <p>with a generalized sublinear condition is further explored.…”
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Noether's symmetry and conserved quantity for a time-delayed Hamiltonian system of Herglotz type by Yi Zhang

Subjects: “…time-delayed hamiltonian system…”
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Infinitely many periodic solutions of planar Hamiltonian systems via the Poincaré–Birkhoff theorem by Zaihong Wang, Tiantian Ma

Subjects: “…Planar Hamiltonian system…”
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Crossing Limit Cycles of Planar Piecewise Linear Hamiltonian Systems without Equilibrium Points by Rebiha Benterki, Jaume LLibre

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Singular Lagrangians, Constrained Hamiltonian Systems and Gauge Invariance: An Example of the Dirac–Bergmann Algorithm by J. David Brown

“…The Dirac–Bergmann algorithm is a recipe for converting a theory with a singular Lagrangian into a constrained Hamiltonian system. Constrained Hamiltonian systems include gauge theories—general relativity, electromagnetism, Yang–Mills, string theory, etc. …”
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Energy transmission in Hamiltonian systems of globally interacting particles with Klein-Gordon on-site potentials by Jorge E. Macías-Díaz, Anastasios Bountis, Helen Christodoulidi

“…We consider a family of 1-dimensional Hamiltonian systems consisting of a large number of particles with on-site potentials and global (long range) interactions. …”
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