General Relativity and Gravitation, ISSN 0001-7701, 06/2017, Volume 49, Issue 6, p. 1

This paper explores Noether and Noether gauge symmetries of anisotropic universe model in f (R, T) gravity. We consider two particular models of this gravity...

Conserved quantity | f(R, T) gravity | Noether symmetry | ENERGY | COSMOLOGY | MODELS | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | f (R, T) gravity | PHYSICS, PARTICLES & FIELDS | Anisotropy | Physics - General Physics

Conserved quantity | f(R, T) gravity | Noether symmetry | ENERGY | COSMOLOGY | MODELS | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | f (R, T) gravity | PHYSICS, PARTICLES & FIELDS | Anisotropy | Physics - General Physics

Journal Article

核技术：英文版, ISSN 1001-8042, 2017, Volume 28, Issue 8, pp. 1 - 40

Fluctuations of conserved quantities, such as baryon, electric charge, and strangeness number, are sensi- tive observables in relativistic heavy-ion collisions...

QCD相变 | 临界点 | RHIC | 守恒量 | 搜索 | 波动 | 相对论重离子碰撞 | 高能重离子碰撞 | Nuclear Engineering | Energy | Nuclear Physics, Heavy Ions, Hadrons | QCD critical point | Relativistic heavy-ion collisions | Nuclear Energy | Conserved charges | Fluctuations and correlations | FREEZE-OUT CONDITIONS | PHYSICS, NUCLEAR | NET-PROTON | LATTICE QCD | NUCLEAR SCIENCE & TECHNOLOGY | RESONANCE DECAYS | CUMULANTS | NUMBER PROBABILITY-DISTRIBUTION | PHASE-DIAGRAM | MULTIPLICITY DISTRIBUTIONS | CHARGE FLUCTUATIONS | HIGHER MOMENTS

QCD相变 | 临界点 | RHIC | 守恒量 | 搜索 | 波动 | 相对论重离子碰撞 | 高能重离子碰撞 | Nuclear Engineering | Energy | Nuclear Physics, Heavy Ions, Hadrons | QCD critical point | Relativistic heavy-ion collisions | Nuclear Energy | Conserved charges | Fluctuations and correlations | FREEZE-OUT CONDITIONS | PHYSICS, NUCLEAR | NET-PROTON | LATTICE QCD | NUCLEAR SCIENCE & TECHNOLOGY | RESONANCE DECAYS | CUMULANTS | NUMBER PROBABILITY-DISTRIBUTION | PHASE-DIAGRAM | MULTIPLICITY DISTRIBUTIONS | CHARGE FLUCTUATIONS | HIGHER MOMENTS

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 8/2015, Volume 81, Issue 3, pp. 1563 - 1568

Accurate conserved quantity and approximate conserved quantity deduced from Noether symmetry of Lagrange equations for a weakly Chetaev nonholonomic system...

Engineering | Vibration, Dynamical Systems, Control | Noether symmetry | Approximate conserved quantity | First approximate Noether equation | Accurate conserved quantity | Mechanics | Automotive Engineering | Mechanical Engineering | Weakly Chetaev nonholonomic system | LAW | LIE SYMMETRY | EQUATIONS | MEI SYMMETRY | ENGINEERING, MECHANICAL | NONCONSERVATIVE FORCES | MECHANICS | CONFORMAL-INVARIANCE | CONSTRAINTS | Euler-Lagrange equation | Equations of motion | Mathematical analysis | Differential equations | Symmetry

Engineering | Vibration, Dynamical Systems, Control | Noether symmetry | Approximate conserved quantity | First approximate Noether equation | Accurate conserved quantity | Mechanics | Automotive Engineering | Mechanical Engineering | Weakly Chetaev nonholonomic system | LAW | LIE SYMMETRY | EQUATIONS | MEI SYMMETRY | ENGINEERING, MECHANICAL | NONCONSERVATIVE FORCES | MECHANICS | CONFORMAL-INVARIANCE | CONSTRAINTS | Euler-Lagrange equation | Equations of motion | Mathematical analysis | Differential equations | Symmetry

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 7/2015, Volume 81, Issue 1, pp. 469 - 480

This paper presents the variational problems for fractional Birkhoffian systems, and its corresponding symmetries and conserved quantities are further studied....

Engineering | Vibration, Dynamical Systems, Control | Fractional Birkhoff’s equation | Fractional Noether theorem | Fractional Pfaff variational problem | Conserved quantity | Riemann–Liouville fractional derivative | Mechanics | Automotive Engineering | Mechanical Engineering | Fractional Birkhoffian system | Fractional birkhoffian system | Fractional birkhoff’s equation | Riemann–liouville fractional derivative | Fractional noether theorem | Fractional Birkhoff's equation | THEOREM | EQUATIONS | ENGINEERING, MECHANICAL | MECHANICS | Riemann-Liouville fractional derivative | VARIATIONAL CALCULUS | CONSTRAINTS | HAMILTONIAN-FORMULATION | FORMALISM | DERIVATIVES

Engineering | Vibration, Dynamical Systems, Control | Fractional Birkhoff’s equation | Fractional Noether theorem | Fractional Pfaff variational problem | Conserved quantity | Riemann–Liouville fractional derivative | Mechanics | Automotive Engineering | Mechanical Engineering | Fractional Birkhoffian system | Fractional birkhoffian system | Fractional birkhoff’s equation | Riemann–liouville fractional derivative | Fractional noether theorem | Fractional Birkhoff's equation | THEOREM | EQUATIONS | ENGINEERING, MECHANICAL | MECHANICS | Riemann-Liouville fractional derivative | VARIATIONAL CALCULUS | CONSTRAINTS | HAMILTONIAN-FORMULATION | FORMALISM | DERIVATIVES

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 11/2017, Volume 313, pp. 24 - 36

Conserved quantities for Hamiltonian systems on time scales with nabla derivatives and delta derivatives are presented. First, Hamilton principle on time...

Duality principle | Hamiltonian system | Time scale | Conserved quantity | NOETHER SYMMETRIES | MATHEMATICS, APPLIED | THEOREM | VARIATIONAL CALCULUS | FORMALISM | FORMULATION | Derivatives (Financial instruments)

Duality principle | Hamiltonian system | Time scale | Conserved quantity | NOETHER SYMMETRIES | MATHEMATICS, APPLIED | THEOREM | VARIATIONAL CALCULUS | FORMALISM | FORMULATION | Derivatives (Financial instruments)

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2016, Volume 442, Issue 2, pp. 782 - 795

In this paper Noether symmetries and conserved quantities for fractional forced Birkhoffian systems are studied. Firstly, a new fractional Pfaff–Birkhoff...

Fractional forced Birkhoffian system | Fractional Noether theorem | Fractional conserved quantity | Fractional Pfaff–Birkhoff variational principle | Fractional Pfaff-Birkhoff variational principle | MATHEMATICS, APPLIED | THEOREM | TERMS | EQUATIONS | FORMULATION | MATHEMATICS | MECHANICS | LAWS | VARIATIONAL CALCULUS | LINEAR VELOCITIES | DERIVATIVES | EULER-LAGRANGE | Aerospace engineering

Fractional forced Birkhoffian system | Fractional Noether theorem | Fractional conserved quantity | Fractional Pfaff–Birkhoff variational principle | Fractional Pfaff-Birkhoff variational principle | MATHEMATICS, APPLIED | THEOREM | TERMS | EQUATIONS | FORMULATION | MATHEMATICS | MECHANICS | LAWS | VARIATIONAL CALCULUS | LINEAR VELOCITIES | DERIVATIVES | EULER-LAGRANGE | Aerospace engineering

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 6/2016, Volume 84, Issue 4, pp. 1909 - 1913

Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms are studied. Under the infinitesimal transformations of...

Engineering | Vibration, Dynamical Systems, Control | Conformal invariance | Additional terms | Mechanics | Generalized Hamilton system | Mei conserved quantity | Automotive Engineering | Mechanical Engineering | VARIABLE MASS | NONHOLONOMIC SYSTEM | LIE SYMMETRY | EQUATIONS | DYNAMICAL-SYSTEM | ENGINEERING, MECHANICAL | HOLONOMIC MECHANICAL SYSTEMS | CHETAEVS TYPE | MECHANICS | MANIFOLDS | EVENT SPACE | NOETHER SYMMETRY | School construction | Invariance | Nonlinear dynamics | Transformations | Dynamical systems | Symmetry

Engineering | Vibration, Dynamical Systems, Control | Conformal invariance | Additional terms | Mechanics | Generalized Hamilton system | Mei conserved quantity | Automotive Engineering | Mechanical Engineering | VARIABLE MASS | NONHOLONOMIC SYSTEM | LIE SYMMETRY | EQUATIONS | DYNAMICAL-SYSTEM | ENGINEERING, MECHANICAL | HOLONOMIC MECHANICAL SYSTEMS | CHETAEVS TYPE | MECHANICS | MANIFOLDS | EVENT SPACE | NOETHER SYMMETRY | School construction | Invariance | Nonlinear dynamics | Transformations | Dynamical systems | Symmetry

Journal Article

International Journal of Non-Linear Mechanics, ISSN 0020-7462, 04/2017, Volume 90, pp. 32 - 38

Based on Riemann-Liouville fractional derivatives, conserved quantities and adiabatic invariants for fractional generalized Birkhoffian systems are...

Conserved quantity | Riemann-Liouville fractional derivative | Adiabatic invariant | Generalized Birkhoffian system | SEQUENTIAL MECHANICS | CALCULUS | PERTURBATION | LAGRANGIANS | MEI SYMMETRY | FORMULATION | MECHANICS | DYNAMICAL-SYSTEMS | NOETHERS THEOREM | Generalized Birlchoffian system | VARIATIONAL-PROBLEMS | DERIVATIVES

Conserved quantity | Riemann-Liouville fractional derivative | Adiabatic invariant | Generalized Birkhoffian system | SEQUENTIAL MECHANICS | CALCULUS | PERTURBATION | LAGRANGIANS | MEI SYMMETRY | FORMULATION | MECHANICS | DYNAMICAL-SYSTEMS | NOETHERS THEOREM | Generalized Birlchoffian system | VARIATIONAL-PROBLEMS | DERIVATIVES

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 9/2012, Volume 69, Issue 4, pp. 1807 - 1812

The weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The special Mei symmetry and approximate...

Weakly nonholonomic system | Engineering | Vibration, Dynamical Systems, Control | Approximate conserved quantity | Mechanics | Automotive Engineering | Special Mei symmetry | Mechanical Engineering | Appell equations | MECHANICS | DYNAMICAL-SYSTEMS | PERTURBATION | ADIABATIC INVARIANTS | ENGINEERING, MECHANICAL | Mathematical analysis | Symmetry | Nonlinear dynamics | Approximation | Criteria | Dynamical systems

Weakly nonholonomic system | Engineering | Vibration, Dynamical Systems, Control | Approximate conserved quantity | Mechanics | Automotive Engineering | Special Mei symmetry | Mechanical Engineering | Appell equations | MECHANICS | DYNAMICAL-SYSTEMS | PERTURBATION | ADIABATIC INVARIANTS | ENGINEERING, MECHANICAL | Mathematical analysis | Symmetry | Nonlinear dynamics | Approximation | Criteria | Dynamical systems

Journal Article

International Journal of Computer Mathematics, ISSN 0020-7160, 12/2018, Volume 95, Issue 12, pp. 2511 - 2524

Numerical methods preserving a conserved quantity for stochastic differential equations are considered. A class of discrete gradient methods based on the...

linear projection methods | Stochastic differential equations | 60H10 | 65P10 | mean-square convergence | conserved quantity | discrete gradient methods | 37N30 | MATHEMATICS, APPLIED | RUNGE-KUTTA METHODS | MULTIPLICATIVE NOISE | MILSTEIN METHODS | SYSTEMS | DELAY EQUATIONS | IMPLICIT

linear projection methods | Stochastic differential equations | 60H10 | 65P10 | mean-square convergence | conserved quantity | discrete gradient methods | 37N30 | MATHEMATICS, APPLIED | RUNGE-KUTTA METHODS | MULTIPLICATIVE NOISE | MILSTEIN METHODS | SYSTEMS | DELAY EQUATIONS | IMPLICIT

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 05/2017, Volume 46, pp. 37 - 48

•The derivation of the nonlinear, dispersive Boussinesq equations under discussion deviates from the work done in the literature, even when the same...

Conservation laws | Conserved quantities | Boussinesq equations | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | Environmental law

Conservation laws | Conserved quantities | Boussinesq equations | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | Environmental law

Journal Article

中国物理B：英文版, ISSN 1674-1056, 2017, Volume 26, Issue 8, pp. 201 - 209

This paper focuses on studying the Noether symmetry and the conserved quantity with non-standard Lagrangians, namely exponential Lagrangians and power-law...

Noether对称性 | 守恒量 | Lagrange函数 | 非标准 | Noether定理 | 时间尺度 | 动力学系统 | 拉格朗日函数 | conserved quantity | Time scale | Noether symmetry | non-standard Lagrangian | LIE SYMMETRY | time scale | PHYSICS, MULTIDISCIPLINARY

Noether对称性 | 守恒量 | Lagrange函数 | 非标准 | Noether定理 | 时间尺度 | 动力学系统 | 拉格朗日函数 | conserved quantity | Time scale | Noether symmetry | non-standard Lagrangian | LIE SYMMETRY | time scale | PHYSICS, MULTIDISCIPLINARY

Journal Article

Reports on Mathematical Physics, ISSN 0034-4877, 12/2019, Volume 84, Issue 3, pp. 365 - 373

This paper investigates conformal invariance and conserved quantities of nonmaterial volumes. An infinitesimal transformation group and infinitesimal...

Noether symmetry | nonmaterial volumes | conserved quantities | conformal invariance | WRITTEN | REDUCTION | MECHANICAL SYSTEMS | LAGRANGE EQUATION | FREEDOM | MEI SYMMETRY | PHYSICS, MATHEMATICAL

Noether symmetry | nonmaterial volumes | conserved quantities | conformal invariance | WRITTEN | REDUCTION | MECHANICAL SYSTEMS | LAGRANGE EQUATION | FREEDOM | MEI SYMMETRY | PHYSICS, MATHEMATICAL

Journal Article

Nonlinear Dynamics, ISSN 0924-090X, 7/2013, Volume 73, Issue 1, pp. 783 - 793

The fractional Pfaffian variational problems and the fractional Noether theory are studied under a fractional model presented by El-Nabulsi. Firstly, the...

Engineering | Vibration, Dynamical Systems, Control | Fractional symmetric transformation | Fractional Noether theorem | Fractional action-like Pfaffian variational problem | El-Nabulsi–Birkhoff equations | Conserved quantity | Mechanics | Automotive Engineering | Mechanical Engineering | El-Nabulsi-Birkhoff equations | CALCULUS | TERMS | EQUATIONS | FORMULATION | ENGINEERING, MECHANICAL | MECHANICS | LINEAR VELOCITIES | DERIVATIVES | EULER-LAGRANGE | Transformations | Symmetry | Nonlinear dynamics | Mathematical analysis | Group theory | Mathematical models | Criteria | Invariance

Engineering | Vibration, Dynamical Systems, Control | Fractional symmetric transformation | Fractional Noether theorem | Fractional action-like Pfaffian variational problem | El-Nabulsi–Birkhoff equations | Conserved quantity | Mechanics | Automotive Engineering | Mechanical Engineering | El-Nabulsi-Birkhoff equations | CALCULUS | TERMS | EQUATIONS | FORMULATION | ENGINEERING, MECHANICAL | MECHANICS | LINEAR VELOCITIES | DERIVATIVES | EULER-LAGRANGE | Transformations | Symmetry | Nonlinear dynamics | Mathematical analysis | Group theory | Mathematical models | Criteria | Invariance

Journal Article

Fractional Calculus and Applied Analysis, ISSN 1311-0454, 04/2018, Volume 21, Issue 2, pp. 509 - 526

Noether theorem is an important aspect to study in dynamical systems. Noether symmetry and conserved quantity for the fractional Birkhoffian system are...

Noether symmetry | Riemann-Liouville derivative | Caputo derivative | Secondary 26A33, 70H45 | conserved quantity | fractional Birkhoffian system | Primary 70H33 | MATHEMATICS, APPLIED | CONSTANTS | THEOREM | CALCULUS | STABILITY | EQUATIONS | FORMULATION | MATHEMATICS | ORDER | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MOTION | HAMILTONIAN-SYSTEMS | DERIVATIVES | Symmetry

Noether symmetry | Riemann-Liouville derivative | Caputo derivative | Secondary 26A33, 70H45 | conserved quantity | fractional Birkhoffian system | Primary 70H33 | MATHEMATICS, APPLIED | CONSTANTS | THEOREM | CALCULUS | STABILITY | EQUATIONS | FORMULATION | MATHEMATICS | ORDER | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MOTION | HAMILTONIAN-SYSTEMS | DERIVATIVES | Symmetry

Journal Article

Japan Journal of Industrial and Applied Mathematics, ISSN 0916-7005, 01/2019, Volume 36, Issue 1, pp. 53 - 78

The ultradiscrete analogues with parity variables of the so-called hard spring equation and its conserved quantity are proposed. Solutions of the resulting...

Ultradiscretization | Duffing equation | Integrable systems | Conserved quantity | MATHEMATICS, APPLIED

Ultradiscretization | Duffing equation | Integrable systems | Conserved quantity | MATHEMATICS, APPLIED

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 10/2016, Volume 55, Issue 10, pp. 4298 - 4309

In this paper, we present the fractional Mei symmetrical method of finding conserved quantity and explore its applications to physics. For the fractional...

Fractional generalized Hamiltonian system | Conserved quantity | Fractional three-body model | Fractional Mei symmetry | Theoretical, Mathematical and Computational Physics | Fractional Robbins–Lorenz model | Quantum Physics | Fractional general relativistic Buchduhl model | Physics, general | Physics | Elementary Particles, Quantum Field Theory | BIRKHOFFIAN SYSTEMS | SEQUENTIAL MECHANICS | PHYSICS, MULTIDISCIPLINARY | STABILITY | TERMS | EQUATIONS | Fractional Robbins-Lorenz model | FORM INVARIANCE | CONFORMAL-INVARIANCE | LAGRANGE | GENERALIZED HAMILTONIAN-SYSTEMS | DERIVATIVES | Occupations | Methods

Fractional generalized Hamiltonian system | Conserved quantity | Fractional three-body model | Fractional Mei symmetry | Theoretical, Mathematical and Computational Physics | Fractional Robbins–Lorenz model | Quantum Physics | Fractional general relativistic Buchduhl model | Physics, general | Physics | Elementary Particles, Quantum Field Theory | BIRKHOFFIAN SYSTEMS | SEQUENTIAL MECHANICS | PHYSICS, MULTIDISCIPLINARY | STABILITY | TERMS | EQUATIONS | Fractional Robbins-Lorenz model | FORM INVARIANCE | CONFORMAL-INVARIANCE | LAGRANGE | GENERALIZED HAMILTONIAN-SYSTEMS | DERIVATIVES | Occupations | Methods

Journal Article