Method of Generating N-dimensional Isochronous Nonsingular Hamiltonian Systems

DOI10.1080/14029251.2013.792474zbMath1421.70033arXiv1207.4611OpenAlexW2058845402MaRDI QIDQ5230882

R. Gladwin Pradeep, V. K. Chandrasekar, A. Durga Devi, Muthusamy Lakshmanan

Publication date: 29 August 2019

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

Full work available at URL: https://arxiv.org/abs/1207.4611

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (3)

Two-dimensional isochronous nonstandard Hamiltonian systems ⋮ Exact solutions of the Liénard- and generalized Liénard-type ordinary nonlinear differential equations obtained by deforming the phase space coordinates of the linear harmonic oscillator ⋮ Higher-order averaging, formal series and numerical integration. III: Error bounds

Cites Work

• Recursive Generation of Isochronous Hamiltonian Systems
• Isochronous and partially isochronous Hamiltonian systems are not rare
• On a new technique to manufacture isochronous Hamiltonian systems: classical and quantal treatments
• Lagrangian and Hamiltonian constraints for second-order singular Lagrangians
• A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic
• A nonlocal connection between certain linear and nonlinear ordinary differential equations: Extension to coupled equations
• Isochronous Systems
• Examples of isochronous Hamiltonians: classical and quantal treatments
• General technique to produce isochronous Hamiltonians
• On a class of Hamiltonians with (classical) isochronous motions and (quantal) equi-spaced spectra
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