An Invertible Transformation and Some of its Applications

DOI10.1142/S1402925111001258zbMath1362.26013OpenAlexW1998063698MaRDI QIDQ5737669

F. Leyvraz, Matteo Sommacal, Mario Bruschi, Francesco Calogero

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1402925111001258

zbMATH Keywords

solvable dynamical systemsisochronous systemsinvertible transformationssolvable algebraic equationssolvable Diophantine equationssolvable discrete-time dynamical systemssolvable functional equationssolvable Hamiltonian systemssolvable nonlinear Sturm-Liouville problems

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Implicit function theorems, Jacobians, transformations with several variables (26B10) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (3)

Properties of the zeros of generalized basic hypergeometric polynomials ⋮ Properties of the zeros of the polynomials belonging to the Askey scheme ⋮ Generalization of an Invertible Transformation and Examples of its Applications

Cites Work

• Unnamed Item
• Discrete-time goldfishing
• Solvable Systems of Isochronous, Multi-Periodic or Asymptotically Isochronous Nonlinear Oscillators
• Isochronous Systems

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