All Stories

  1. Solution of the initial-value problem of first-order nonlinear recursions with homogeneous right-hand sides
  2. Solvable systems of two coupled first-order ODEs with homogeneous cubic polynomial right-hand sides
  3. New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides
  4. Polynomials with multiple zeros and solvable dynamical systems including models in the plane with polynomial interactions
  5. Two Peculiar Classes of Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations
  6. Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations with Polynomial Right-Hand Sides
  7. Time-independent Hamiltonians describing systems with friction: the “cyclotron with friction”
  8. An integrable many-body problem
  9. Isochronous dynamical systems