Nonlinear time-dependent anharmonic oscillator: Asymptotic behavior and connected invariants
Copyright policy )Nonlinear time-dependent anharmonic oscillator: Asymptotic behavior and connected invariants
The motion of a particle in a potential decreasing with time as ‖X‖n is considered. Different time and space rescaling are considered in order to obtain the asymptotic solutions. The validity of adiabatic invariants is discussed. The classical critical case corresponds to the obtainment of self-similar solutions for the quantum problem.
Nonlinear dynamics in mechanics, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics, asymptotic behavior of solutions, time variant system
Nonlinear dynamics in mechanics, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics, asymptotic behavior of solutions, time variant system
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