Results 31 to 40 of about 24,728 (260)
Electronic Journal of Qualitative Theory of Differential Equations, 2011 By using the saddle point theorem, some new existence theorems are obtained for second-order Hamiltonian systems with impulsive effects in the cases when the gradient of the nonlinearity grows sublinearly and grows linearly respectively.
Xiaofei He, Peng Chen
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On First Integrals of Hamiltonian System with Holonomic Hamiltonian
2022 IEEE 61st Conference on Decision and Control (CDC), 2022 In this study, the solution of the Hamilton-Jacobi equation (HJE) with holonomic Hamiltonian is investigated in terms of the first integrals of the corresponding Hamiltonian system. Holonomic functions are related to a specific type of partial differential equations called Pfaffian systems, whose solution space can be regarded as a finite-dimensional ...
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Complex Dynamics of Some Hamiltonian Systems: Nonintegrability of Equations of Motion
Advances in Mathematical Physics, 2019 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
Applied Sciences, 2020 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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Hamiltonian systems with constraints
Revista de Investigación de FísicaWe study the classical Hamiltonian of constraints systems. We will start by defining a Lagrangian function that defines a dynamical system with constraints and then we will derive the corresponding Hamiltonian formulation through a Legendre ...
Mississippi Valenzuela
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Fostering Innovation: Streamlining Magnetocaloric Materials Research by Digitalization
Advanced Engineering Materials, EarlyView.Magnetocaloric cooling (MCE) is an environmentally friendly refrigeration method with great potential. Optimizing MCE materials involves the preparation and screening of large quantities of samples, which in turn generates a large amount of data. A digitalization approach is presented that uses ontologies, knowledge graphs, and digital workflows to ...
Simon Bekemeier +17 more
wiley +1 more source
DynamicsThe 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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Ferroelectricity in Antiferromagnetic Wurtzite Nitrides
Advanced Functional Materials, EarlyView.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
Existence and multiplicity of homoclinic solutions for a second-order Hamiltonian system
Electronic Journal of Qualitative Theory of Differential Equations, 2019 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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Symmetry and Resonance in Hamiltonian Systems [PDF]
SIAM Journal on Applied Mathematics, 2001 The authors consider a two-degree-of-freedom Hamiltonian \[ H(p_1,q_1,p_2,q_2)= \textstyle{{1\over 2}} \omega_1(p^2_1+ q^2_1)+ \textstyle{{1\over 2}} \omega_2(p^2_2+ q^2_2)+ H_3+ H_4+\cdots, \] where \(H_k\) \((k\geq 3)\) are homogeneous polynomials of degree \(k\).
Tuwankotta, J.M., Verhulst, F.
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