On an integrable family of oscillators with linear and quadratic damping

AR Ishchenko, DI Sinelshchikov - Chaos, Solitons & Fractals, 2023 - Elsevier
In this work we study integrability of a family of nonlinear oscillators with linear and quadratic
damping. Equations from this family often appear in various applications in physics …

[HTML][HTML] Generalized conformal Hamiltonian dynamics and the pattern formation equations

P Guha, A Ghose-Choudhury - Journal of Geometry and Physics, 2018 - Elsevier
We demonstrate the significance of the Jacobi last multiplier in Hamiltonian theory by
explicitly constructing the Hamiltonians of certain well known first-order systems of …

[HTML][HTML] Deformed Hamiltonian vector fields and Lagrangian fibrations

DS Tourigny - Journal of Geometry and Physics, 2017 - Elsevier
Certain dissipative physical systems closely resemble Hamiltonian systems in R 2 n, but with
the canonical equation for one of the variables in each conjugate pair rescaled by a real …

[引用][C] Biology of deformed Hamiltonian vector fields on Lagrangian fibrations

DS Tourigny - arXiv preprint arXiv:1512.04880, 2015