Invariants for dissipative nonlinear systems by using rescaling
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Publication:3345830
DOI10.1063/1.526750zbMath0552.70016OpenAlexW1989492209MaRDI QIDQ3345830
Publication date: 1985
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526750
asymptotic solutionexact invariant quadratic in the velocityfriction term proportional to the velocityrescaling transformation of space and time
Related Items
Analysis and solution of a nonlinear second-order differential equation through rescaling and through a dynamical point of view, Representations of one-dimensional Hamiltonians in terms of their invariants, Invariants for time-dependent potentials: Use of self-similar techniques, One-dimensional nonautonomous dynamical systems with exact transcendental invariants, Canonical transformations and exact invariants for dissipative systems, Singular cotangent models in fluids with dissipation, Symmetry transformations for the generalized Lane-Emden equation, Partial integrability of the anharmonic oscillator, Properties of second-order ordinary differential equations invariant under time translation and self-similar transformation, Singular cotangent models in fluids with dissipation, First integrals and symmetries of time-dependent Hamiltonian systems
Cites Work
- First integrals for one-dimensional particle motion in a non-linear, time-dependent potential field
- A direct construction of first integrals for certain non-linear dynamical systems
- Nonlinear time-dependent anharmonic oscillator: Asymptotic behavior and connected invariants
- A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians
- Exact time-dependent solutions of the Vlasov–Poisson equations
- Exact, time-dependent solutions of the one-dimensional Vlasov–Maxwell equations
- Noether’s theorem, time-dependent invariants and nonlinear equations of motion
- Schrödinger equation with time-dependent boundary conditions
