Levinson-Smith dissipative equations and geometry of GENERIC formalism and contact Hamiltonian mechanics
DOI10.1007/S00332-024-10090-YMaRDI QIDQ6624020
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Publication date: 24 October 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Contact manifolds (general theory) (53D10) Contact systems (37J55) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Cites Work
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- On the criteria for integrability of the Liénard equation
- New non-standard Lagrangians for the Liénard-type equations
- Formulation of thermoelastic dissipative material behavior using GENERIC
- A class of exact solutions of the Liénard-type ordinary nonlinear differential equation
- Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation
- Contact symmetries and Hamiltonian thermodynamics
- One-dimensional model of a quantum nonlinear harmonic oscillator
- Metriplectic structure, Leibniz dynamics and dissipative systems
- A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour
- On the connection of the quadratic Liénard equation with an equation for the elliptic functions
- A paradigm for joined Hamiltonian and dissipative systems
- Contact structure in thermodynamic theory
- On the period function of \(x^{\prime\prime}+f(x)x^{\prime2}+g(x)=0\)
- On the statistical mechanics of non-Hamiltonian systems: the generalized Liouville equation, entropy, and time-dependent metrics
- On ``relaxation-oscillations.
- Infinitesimal symmetries in contact Hamiltonian systems
- Linearizability conditions for the Rayleigh-like oscillators
- Contact Hamiltonian mechanics
- A general equation for relaxation oscillations
- Infinitesimal time reparametrisation and its applications
- A course in ordinary differential equations
- Conformal Killing vector fields and a virial theorem
- Lagrangians for Dissipative Nonlinear Oscillators: The Method of Jacobi Last Multiplier
- A geometric approach to a generalized virial theorem
- The Jacobi Last Multiplier and its applications in mechanics
- Reduction of Jacobi manifolds
- A systematic study on the exact solution of the position dependent mass Schr dinger equation
- Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach
- Geometrical formulation of relativistic mechanics
- A non-linear oscillator with quasi-harmonic behaviour: two- andn-dimensional oscillators
- On a unique nonlinear oscillator
- On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D
- On the dynamics of contact Hamiltonian systems: I. Monotone systems
- Nonstandard Hamiltonian structures of the Liénard equation and contact geometry
- An Old Method of Jacobi to Find Lagrangians
- Relativistic (Non-Linear) Oscillator
- Cosymplectic and contact structures for time-dependent and dissipative Hamiltonian systems
- 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
- On quantized Liénard oscillator and momentum dependent mass
- Jacobi multipliers and Hamel’s formalism
- A geometric approach to contact Hamiltonians and contact Hamilton–Jacobi theory
- On the role of geometry in statistical mechanics and thermodynamics. I. Geometric perspective
- On the role of geometry in statistical mechanics and thermodynamics. II. Thermodynamic perspective
- Sundman transformation and alternative tangent structures
- Some general theorems relating to vibrations.
- Unified Lagrangian‐Hamiltonian Formalism for Contact Systems
- The Darboux polynomials and integrability of polynomial Levinson-Smith differential equations
- Geometry of non-standard Hamiltonian structures of Liénard equations and contact structure
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