Complex Dynamics of Some Hamiltonian Systems: Nonintegrability of Equations of Motion
The main purpose of this paper is to study the complexity of some Hamiltonian systems from the view of nonintegrability, including the planar Hamiltonian with Nelson potential, double-well potential, and the perturbed elliptic oscillators Hamiltonian ...
Jingjia Qu
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Particle Swarm Optimization of a Passivity-Based Controller for Dynamic Positioning of Ships
Dynamic positioning (DP) control system is an essential module used in offshore ships for accurate maneuvering and maintaining of ship’s position and heading (fixed location or pre-determined track) by means of thruster forces being generated by ...
Mutaz Ryalat +2 more
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Reactive scattering with row-orthonormal hyperspherical coordinates. 3. Hamiltonian and transformation properties for pentaatomic systems [PDF]
The Hamiltonian for triatomic and tetraatomic systems in row-orthonormal hyperspherical coordinates has been derived previously. However, for pentaatomic systems this derivation requires nontrivial generalizations.
Kuppermann, Aron
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Superintegrable Hamiltonian systems with noncompact invariant submanifolds. Kepler system
The Mishchenko-Fomenko theorem on superintegrable Hamiltonian systems is generalized to superintegrable Hamiltonian systems with noncompact invariant submanifolds.
Dazord P. +4 more
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The dynamics of port-Hamiltonian systems is based on energy balance principles (the first law of thermodynamics) embedded in the structure of the model. However, when dealing with thermodynamic subsystems, the second law (entropy production) should also ...
Oleksiy Kuznyetsov
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Existence and multiplicity of homoclinic solutions for a second-order Hamiltonian system
In this paper, we find new conditions to ensure the existence of one nontrivial homoclinic solution and also infinitely many homoclinic solutions for the second order Hamiltonian system $$ \ddot{u}-a(t)|u|^{p-2}u+\nabla W(t,u)=0,\qquad t\in \mathbb{R}, $
Yiwei Ye
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Renormalization group equations and integrability in Hamiltonian systems
We investigate Hamiltonian systems with two degrees of freedom by using renormalization group method. We show that the original Hamiltonian systems and the renormalization group equations are integrable if the renormalization group equations are ...
Nambu, Yasusada, Yamaguchi, Yoshiyuki Y.
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Ferroelectricity in Antiferromagnetic Wurtzite Nitrides
We establish MnSiN2${\rm MnSiN}_2$ and MnGeN2${\rm MnGeN}_2$ as aristotypes of a new multiferroic wurtzite family that simultaneously exhibits ferroelectricity and antiferromagnetism with altermagnetic spin splitting. By strategically substituting alkaline‐earth metals, we predict new materials with coexisting switchable polarization, spin texture, and
Steven M. Baksa +3 more
wiley +1 more source
Subharmonic solutions of Hamiltonian systems displaying some kind of sublinear growth
We prove the existence and multiplicity of subharmonic solutions for Hamiltonian systems obtained as perturbations of N planar uncoupled systems which, e.g., model some type of asymmetric oscillators.
Fonda Alessandro, Toader Rodica
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Extended Hamiltonian systems in multisymplectic field theories
We consider Hamiltonian systems in first-order multisymplectic field theories. We review the properties of Hamiltonian systems in the so-called restricted multimomentum bundle, including the variational principle which leads to the Hamiltonian field ...
de Leon, Manuel +3 more
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