Keywords: انتگرال اول; Rayleigh-Duffing oscillator; First integrals; Center problem;
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Keywords: انتگرال اول; Euler-Bernoulli beam equation; Nonsolvable symmetry algebra; First integrals; Exact solution; Schrödinger-type equation; 34A05; 34C14; 34C20; 34G20;
Keywords: انتگرال اول; Weight-homogeneous hamiltonian systems; Systems in polar coordinates; First integrals; The direct search method;
Keywords: انتگرال اول; First integrals; Viscous flow; Potentials; Gauge transformations; Clebsch variables; Mathematical foundations
Keywords: انتگرال اول; Partial Hamiltonian system; Economic growth theory; Mechanics; Partial Hamiltonian function; First integrals;
Keywords: انتگرال اول; 53C30; 53C25; 22E25; 57S20Geodesic flow; Nilmanifolds; First integrals; Integrability; Lie groups; Heisenberg Lie group
Keywords: انتگرال اول; 34C07; 14J27; 14D06; 32S65Elliptic foliations; First integrals; Pencil of foliations; Reversible; Lotka Volterra; Hamiltonian; Codimension four
Keywords: انتگرال اول; Conserved vectors; First integrals; Non-linear self-adjointness; Noether׳s theorem; 2D inviscid Burgers equation
Keywords: انتگرال اول; Hamiltonian symmetries; First integrals; Characteristics; Invariance
Keywords: انتگرال اول; 65L05Trigonometrically fitted methods; Nonlinear periodic oscillators; Frequency determination; First integrals; Total energy minimization
Keywords: انتگرال اول; First integrals; Symmetry; Non-linear ordinary differential equations; Emden–Fowler; Lane–Emden; Modified Emden
Keywords: انتگرال اول; Symmetries; Conservation laws; First integrals
Dealing with rational second order ordinary differential equations where both Darboux and Lie find it difficult: The S-function method
Keywords: انتگرال اول; 2ODEs; First integrals; Symbolic computation; S-function;
The generalized polynomial Moon-Rand system
Keywords: انتگرال اول; Moon-Rand system; Center-focus problem; Center manifolds; First integrals;
Transversely holomorphic structures with many invariant hypersurfaces
Keywords: انتگرال اول; Transversely holomorphic foliations; Invariant hypersurfaces; First integrals;
Center problem in the center manifold for quadratic differential systems in R3R3
Keywords: انتگرال اول; 34C05; 34A34; 34C14Center-focus problem; Center manifolds; First integrals; Modular arithmetics; Gröbner basis
Center problem in the center manifold for quadratic and cubic differential systems in R3R3
Keywords: انتگرال اول; Center–focus problem; Center manifolds; First integrals
Quasi-linear systems of PDE of first order with Cauchy data of higher codimensions
Keywords: انتگرال اول; Quasi-linear first order PDEs; Cauchy data of higher codimensions; Uniqueness of the Cauchy problems; First integrals; Pfaffian systems; Frobenius theorem
Dynamics of the birational maps arising from F0F0 and dP3dP3 quivers
Keywords: انتگرال اول; Difference equations; Globally periodic maps; First integrals; Quivers
Damped equations of Mathieu type
Keywords: انتگرال اول; Mathieu equation; First integrals; Jacobi's last multiplier; Lagrangians; Van der Pol-Mathieu equation;
A Maple package to find first order differential invariants of 2ODEs via a Darboux approach
Keywords: انتگرال اول; First integrals; Second order ordinary differential equations; Darboux-type approach; Computer algebra
A Maple procedure based on λ-symmetries for second-order ordinary differential equations
Keywords: انتگرال اول; First integrals; λ-Symmetries; Linearization; Generalized Sundman transformations;
On linear differential equations with reductive Galois group
Keywords: انتگرال اول; Ordinary linear differential equations; Differential Galois theory; Differential algebra; Reductive groups; Meromorphic connections; Invariants; First integrals; Projective equivalence; Pullbacks
Integrability and global dynamics of the May–Leonard model
Keywords: انتگرال اول; May–Leonard model; Lotka–Volterra systems; First integrals; Global dynamics; Poincaré compactification
On constructing accurate approximations of first integrals for difference equations
Keywords: انتگرال اول; Invariance vector; First integrals; Functional equation; Nonlinear difference equation; Multiple scales perturbation method;
On the Lane–Emden system in dimension one
Keywords: انتگرال اول; Lane–Emden system; Group classification; Noether symmetries; First integrals
Lie point symmetries, partial Noether operators and first integrals of the Painlevé–Gambier equations
Keywords: انتگرال اول; Lie linearization; Partial Lagrangian; Partial Noether operators; First integrals; Jacobi equation; Painlevé–Gambier equations
On solutions of third and fourth-order time dependent Riccati equations and the generalized Chazy system
Keywords: انتگرال اول; Nonlocal transformation; First integrals; Third and fourth-order Riccati equation; Generalized Chazy equation; F-XVI Bureau symbol PI
Exact first integrals for a Lane-Emden equation of the second kind modeling a thermal explosion in a rectangular slab
Keywords: انتگرال اول; Lane-Emden equation; First integrals; Bifurcation; Thermal explosion;
First integrals for time-dependent higher-order Riccati equations by nonholonomic transformation
Keywords: انتگرال اول; Nonholonomic transformation; First integrals; Second-order Riccati equation; Gambier equation
First integrals for a generalized coupled Lane–Emden system
Keywords: انتگرال اول; Lagrangian; Noether operators; First integrals; Lane–Emden system; Gauge function
Nonexistence and partial existence of first integrals for diffeomorphisms
Keywords: انتگرال اول; First integrals; Diffeomorphism; Integrability; Partial integrability;
Lagrangian approach to a generalized coupled Lane–Emden system: Symmetries and first integrals
Keywords: انتگرال اول; 98.80.Jk; 97.10.CvLagrangian; Noether operators; First integrals; Lane–Emden system, Gauge function
On generalized Sundman transformation method, first integrals, symmetries and solutions of equations of Painlevé–Gambier type
Keywords: انتگرال اول; 34C14; 34C20Sundman transformation; Sundman symmetries; Painlevé–Gambier equations; First integrals; Jacobi equation
Optimal shape of a strongest inverted column
Keywords: انتگرال اول; 49J15; 74K10Optimal shape; Pontryagin's principle; First integrals
Determining Liouvillian first integrals for dynamical systems in the plane
Keywords: انتگرال اول; 02.30.HqLiouvillian functions; First integrals; Dynamical systems in the plane; First order ordinary differential equations; Computer algebra; Prelle–Singer (PS)
An algorithm for determining a class of invariants in quasi-polynomial systems
Keywords: انتگرال اول; 05.45.-a; 02.30.Ik; 89.20.FfQuasi-polynomial systems; First integrals
On the chaotic rotation of a liquid-filled gyrostat via the Melnikov–Holmes–Marsden integral
Keywords: انتگرال اول; Liquid-filled gyrostats; First integrals; The Melnikov–Holmes–Marsden integral; Homoclinic/heteroclinic orbits; Chaotic oscillations
The Lotka-Volterra canonical format
Keywords: انتگرال اول; Lotka-Volterra; Population dynamics; Stability; First integrals;
Adjoint symmetries and the generation of first integrals in non-holonomic mechanics
Keywords: انتگرال اول; 37J60; 70F25; 02.40.Yy; Classical mechanics; Lagrangian mechanics; Non-holonomic systems; First integrals; Adjoint symmetries;