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1. Applications and extensions of the Liouville theorem on constants of motion
by del Castillo, GFT
Revista Mexicana de Fisica, ISSN 0035-001X, 06/2011, Volume 57, Issue 3, pp. 245 - 249
We give an elementary proof of the Liouville theorem, which allows us to obtain n constants of motion in addition to n given constants of motion in involution,... 
Degrees of freedom | Integrals | Liouville theorem | Mathematical analysis | Differential equations | Constants | Mechanical systems | Standards
Journal Article
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2. Weakly connected nonlinear systems
: boundedness and stability of motion
by Martyni͡uk, A. A. (Anatoliĭ Andreevich) and Chernet͡skai͡a, L. N. (Larisa Nikolaevna) and Martynyuk, Vladislav
2013, Pure and applied mathematics, ISBN 9781466570863, xv, 212
"Preface The investigation of nonlinear systems with a small parameter is attributable by a lot of modern problems of mechanics, physics, hydrodynamics,... 
Motion | Nonlinear systems | Stability
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3. Berechnungsmodell zur Beschreibung des dynamischen Verhaltens eines Vibrationsförderers: Erläuterung anhand des beispiels eines linearvibrationsförderers
by Himmelreich, Niels and Risch, Thomas and Dallinger, Niels
Logistics Journal, ISSN 1860-7977, 2014, Volume 2014, pp. 1 - 7
Calculation model | Dynamic behavior | Equations of motion | Vibrating conveyor
Journal Article
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4. Relativistic charged particle in a uniform electromagnetic field
by del Castillo, GFT and Sanchez, CS
Revista Mexicana de Fisica, ISSN 0035-001X, 02/2011, Volume 57, Issue 1, pp. 53 - 59
The equations of motion for a relativistic charged particle in a uniform electromagnetic field are solved in a covariant form by calculating the exponential of... 
Tensors | Algebra | Mathematical analysis | Transformations | Charged particles | Electromagnetic fields | Equations of motion | Antisymmetry
Journal Article
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5. Gauge fields
: classification and equations of motion
by Carmeli, Moshe and Huleihil, Kh and Leibowitz, E and Carmeli, M and Huleihil, Khadra and Leibowitz, Elhanan
1989, ISBN 9971507455, xii, 136
Gauge fields (Physics)
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6. Schaum's outline of theory and problems of Lagrangian dynamics, with a treatment of Euler's equations of motion, Hamilton's equations and Hamilton's principle
by Wells, Dare A., 1899
1967, Schaum's outline series, 353
Lagrange equations | Dynamics
Book
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7. The equations of motion in electrodynamics
by Infeld, Leopold, 1898-1968 and Wallace, P.R
1940, 10
Electrodynamics | Motion | Equations
Book
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8. Full Text Timelike and null equatorial geodesics in the Bonnor-Sackfield relativistic disk
by Guillermo A. González and Framsol López-Suspes
Revista Integración, ISSN 0120-419X, 06/2011, Volume 29, Issue 1, pp. 59 - 72
A study of timelike and null equatorial geodesics in the BonnorSackfield relativistic thin disk is presented. The motion of test particles in the equatorial... 
equations of motion | exact solutions | soluciones exactas | Relatividad general | General relativity | ecuaciones de movimiento
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9. Full Text Bulk equations of motion from CFT correlators
by Kabat, Daniel and Lifschytz, Gilad
Journal of High Energy Physics, ISSN 1126-6708, 9/2015, Volume 2015, Issue 9, pp. 1 - 49
To O 1 / N $$ \mathcal{O}\left(1/N\right) $$ we derive, purely from CFT data, the bulk equations of motion for interacting scalar fields and for scalars... 
AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Models of Quantum Gravity | Elementary Particles, Quantum Field Theory | SUPERGRAVITY | ADS/CFT CORRESPONDENCE | PHYSICS, PARTICLES & FIELDS | Analysis | Gravity | Towers | Operators | Gravitation | Texts | Scalars | Joining | Equations of motion | Uplift
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10. Full Text Extended hierarchy equation of motion for the spin-boson model
by Tang, Zhoufei and Ouyang, Xiaolong and Gong, Zhihao and Wang, Haobin and Wu, Jianlan
Journal of Chemical Physics, ISSN 0021-9606, 12/2015, Volume 143, Issue 22, p. 224112
An extended hierarchy equation of motion (HEOM) is proposed and applied to study the dynamics of the spin-boson model. In this approach, a complete set of... 
SYSTEM | REDUCED DENSITY-MATRICES | NOISE BATH | QUANTUM TIME EVOLUTION | TEMPERATURE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DYNAMICS | TENSOR PROPAGATOR | Orthonormal functions | Time dependence | Spin dynamics | Multilayers | Dynamic tests | Ohmic | Mathematical models | Equations of motion | CORRELATION FUNCTIONS | STOCHASTIC PROCESSES | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EQUATIONS OF MOTION | NOISE | RELIABILITY | COMPARATIVE EVALUATIONS | BOSONS | DENSITY MATRIX | LAYERS | EXPANSION | HAMILTONIANS | TIME DEPENDENCE
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11. Full Text Integrals of motion from quantum toroidal algebras
by Feigin, B and Jimbo, M and Mukhin, E
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2017, Volume 50, Issue 46, p. 464001
We identify the Taylor coefficients of the transfer matrices corresponding to quantum toroidal algebras with the elliptic local and non-local integrals of... 
Bethe ansatz | transfer matrices | quantum toroidal algebras | integrals of motion | CONFORMAL FIELD-THEORY | PHYSICS, MULTIDISCIPLINARY | SCHRODINGER-EQUATION | Q-OPERATORS | PHYSICS, MATHEMATICAL
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12. Full Text Multireference equation-of-motion coupled cluster theory
by Datta, Dipayan and Nooijen, Marcel
Journal of Chemical Physics, ISSN 0021-9606, 11/2012, Volume 137, Issue 20, p. 204107
A generalization of the equation-of-motion coupled cluster theory is proposed, which is built upon a multireference parent state. This method is suitable for a... 
CONFIGURATION-INTERACTION METHOD | REDUCED DENSITY-MATRICES | EXCITED ELECTRONIC STATES | RESPONSE FUNCTIONS | EXCITATION-ENERGIES | IRREDUCIBLE BRILLOUIN CONDITIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | SYMMETRY-ADAPTED-CLUSTER | REFERENCE WAVE-FUNCTION | CONTRACTED SCHRODINGER-EQUATIONS | 2ND-ORDER PERTURBATION-THEORY | Electron states | Orbitals | Correlation | Amplitudes | Mathematical analysis | Parents | Clusters | Excitation spectra
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13. Full Text Entropy, extremality, euclidean variations, and the equations of motion
by Dong, Xi and Lewkowycz, Aitor and Inst. for Advanced Study, Princeton, NJ (United States)
Journal of High Energy Physics, ISSN 1126-6708, 1/2018, Volume 2018, Issue 1, pp. 1 - 33
We study the Euclidean gravitational path integral computing the Rényi entropy and analyze its behavior under small variations. We argue that, in Einstein... 
Black Holes in String Theory | AdS-CFT Correspondence | Gauge-gravity correspondence | Classical Theories of Gravity | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | BLACK-HOLE ENTROPY | NOETHER CHARGE | PHYSICS, PARTICLES & FIELDS | String theory | Analysis | Gravity | Operators (mathematics) | Gravitation | Computation | Mathematical analysis | Entropy | Entanglement | Equations of motion | Quantum theory | General Relativity and Quantum Cosmology | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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14. Full Text Classical equation of motion and anomalous dimensions at leading order
by Nii, Keita
Journal of High Energy Physics, ISSN 1126-6708, 7/2016, Volume 2016, Issue 7, pp. 1 - 20
Motivated by a recent paper by Rychkov-Tan [1], we calculate the anomalous dimensions of the composite operators at the leading order in various models... 
Quantum Physics | Renormalization Group | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | EXPONENTS | EPSILON-EXPANSION | FIELD-THEORY | LEE EDGE SINGULARITY | PHYSICS, PARTICLES & FIELDS | Operators | Mathematical models | Exponents | Equations of motion | Symmetry | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory
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15. Full Text Equations of motion as constraints: superselection rules, Ward identities
by Asorey, M and Balachandran, A P and Lizzi, F and Marmo, G
Journal of High Energy Physics, ISSN 1126-6708, 3/2017, Volume 2017, Issue 3, pp. 1 - 20
The meaning of local observables is poorly understood in gauge theories, not to speak of quantum gravity. As a step towards a better understanding we study... 
Space-Time Symmetries | Gauge Symmetry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | ENERGY | INFRARED DIVERGENCES | SCATTERING | GAUGE | SOFT-PHOTON STATES | PHYSICS, PARTICLES & FIELDS | Quantum theory | Low energy | Theorems | Infrared | Infinity | Conservation | Transformations | Equations of motion | Quantum gravity | General Relativity and Quantum Cosmology | Nuclear and High Energy Physics | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory
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16. The gravitational equations and the problem of motion. II
by Einstein, Albert, 1879-1955 and Infeld, Leopold, 1898-1968
1940, 10
Motion | Gravitation | Equations
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17. Full Text Dissipative relativistic fluid dynamics: A new way to derive the equations of motion from kinetic theory
by Denicol, G.S and Koide, T and Rischke, D.H
Physical Review Letters, ISSN 0031-9007, 10/2010, Volume 105, Issue 16, p. 162501
We rederive the equations of motion of dissipative relativistic fluid dynamics from kinetic theory. In contrast with the derivation of Israel and Stewart,... 
HEAVY-ION COLLISIONS | HYDRODYNAMICS | THERMODYNAMICS | PHYSICS, MULTIDISCIPLINARY | DIFFERENTIAL EQUATIONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EQUATIONS OF MOTION | ENERGY RANGE | EQUATIONS | ONE-DIMENSIONAL CALCULATIONS | CURRENTS | BOLTZMANN EQUATION | RELATIVISTIC RANGE | MATHEMATICAL SOLUTIONS | FLUID MECHANICS | MECHANICS | PARTIAL DIFFERENTIAL EQUATIONS | INTEGRO-DIFFERENTIAL EQUATIONS | KINETIC EQUATIONS
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18. Full Text Effects of motion in structured populations
by Krieger, Madison S and McAvoy, Alex and Nowak, Martin A
Journal of the Royal Society Interface, ISSN 1742-5689, 10/2017, Volume 14, Issue 135, pp. 20170509 - 20170509
In evolutionary processes, population structure has a substantial effect on natural selection. Here, we analyse how motion of individuals affects constant... 
Motion | Evolution | Structured populations | MIGRATION | REPLICATOR EQUATION | structured populations | motion | HETEROGENEOUS ENVIRONMENT | MULTIDISCIPLINARY SCIENCES | evolution | EVOLUTIONARY DYNAMICS | COOPERATION | GRAPHS | SPATIAL GAMES | DISPERSAL | SUBDIVIDED POPULATION | FIXATION PROBABILITIES | Models, Theoretical | Populations | Fixation | Extinction | Biological evolution | Spatial discrimination | Population structure | Graphs | Graph theory | Mutation | Birth | Natural selection | Life Sciences–Mathematics interface | 1004
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19. Stability of motion of nonautonomous systems (method of limiting equations)
by Kato, J. (Junji) and Martyni͡uk, A. A. (Anatoliĭ Andreevich) and Shestakov, A. A.(Aleksandr Andreevich)
1996, Stability and control : theory, methods and applications, ISBN 2884490353, Volume 3, xviii, 255
Differential equations | Asymptotic theory
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20. The general problem of the stability of motion
by L︠i︡apunov, A. M and Fuller, A. T and Lyapunov, A. M and L︠i︡apunov, Aleksandr Mikhaĭlovich
1992, ISBN 0748400621, ix, 270
Lyapunov functions
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