Lie point symmetries classification of the mixed Liénard-type equation (Q330983)

scientific article; zbMATH DE number 6643677

Language	Label	Description	Also known as
English	Lie point symmetries classification of the mixed Liénard-type equation	scientific article; zbMATH DE number 6643677

Statements

instance of

scholarly article

0 references

title

Lie point symmetries classification of the mixed Liénard-type equation (English)

0 references

published in

Nonlinear Dynamics

0 references

publication date

26 October 2016

0 references

full work available at URL

https://arxiv.org/abs/1402.3407

0 references

zbMATH Keywords

Lie point symmetries

0 references

Liénard-type equation

0 references

ordinary differential equations

0 references

MaRDI profile type

Publication

0 references

cites work

Classification of Lie point symmetries for quadratic Liénard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$ẍ+f(x)ẋ2+g(x)=0

0 references

On the complete integrability of a nonlinear oscillator from group theoretical perspective

0 references

A non-linear oscillator with quasi-harmonic behaviour: two- and<i>n</i>-dimensional oscillators

0 references

One-dimensional model of a quantum nonlinear harmonic oscillator

0 references

The Jacobi last multiplier and isochronicity of Liénard type systems

0 references

A quasi-Lie schemes approach to second-order Gambier equations

0 references

On certain new integrable second order nonlinear differential equations and their connection with two dimensional Lotka–Volterra system

0 references

Q5843703

0 references

Lagrangians for Dissipative Nonlinear Oscillators: The Method of Jacobi Last Multiplier

0 references

Noether symmetries and the quantization of a Liénard-type nonlinear oscillator

0 references

Exact quantization of a PT-symmetric (reversible) Liénard-type nonlinear oscillator

0 references

Quantization of the Liénard II equation and Jacobi’s last multiplier

0 references

A group theoretical identification of integrable cases of the Liénard-type equation ẍ+f(x)ẋ+g(x)=. I. Equations having nonmaximal number of Lie point symmetries

0 references

A group theoretical identification of integrable equations in the Liénard-type equation ẍ+f(x)ẋ+g(x)=. II. Equations having maximal Lie point symmetries

0 references

On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations

0 references

Application of the $\lambda$-symmetries approach and time independent integral of the modified Emden equation

0 references

On the nonlocal symmetries of certain nonlinear oscillators and their general solution

0 references

Isochronous centers of Lienard type equations and applications

0 references

On the period function of $x^{\prime\prime}+f(x)x^{\prime2}+g(x)=0$

0 references

Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Liénard type nonlinear oscillators

0 references

Symmetry and integration methods for differential equations

0 references

Q3715336

0 references

Q4357207

0 references

Symmetry group classification of ordinary differential equations: Survey of some results

0 references

On the singularity analysis of ordinary differential equations invariant under time translation and rescaling

0 references

The Painleve test, hidden symmetries and the equation y"+yy'+Ky<sup>3</sup>=0

0 references

A nonlocal connection between certain linear and nonlinear ordinary differential equations/oscillators

0 references

A simple and unified approach to identify integrable nonlinear oscillators and systems

0 references

Nonstandard conserved Hamiltonian structures in dissipative/damped systems: Nonlinear generalizations of damped harmonic oscillator

0 references

0 references

0 references

0 references

0 references

Identifiers

zbMATH Open document ID

1437.34039

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.1007/S11071-015-2290-Z

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:330983