189 results on '"Calogero, A."'
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2. Integrable Hamiltonian N-body problems of goldfish type featuring N arbitrary functions
3. Novel solvable many-body problems
4. A Solvable N-body Problem of Goldfish Type Featuring N2 Arbitrary Coupling Constants
5. A convenient expression of the time-derivative \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$z_n^{\left( k \right)}$$\end{document} \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$z_n^{\left( k \right)}$$\end{document} (t), of arbitrary order \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$z_n^{\left( k \right)}$$\end{document} \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$z_n^{\left( k \right)}$$\end{document}, of the zero zn(t) of a time-dependent polynomial pN(z;t) of arbitrary degree N in z, and solvable dynamical systems
6. New solvable dynamical systems
7. Equilibria of a solvable N-body problem and related properties of the N numbers xn at which the Jacobi polynomial of order N has the same value
8. Properties of the zeros of the sum of three polynomials
9. On the Zeros of Polynomials Satisfying Certain Linear Second-Order ODEs Featuring Many Free Parameters
10. Diophantine Properties Associated to the Equilibrium Configurations of an Isochronous N-Body Problem
11. New Solvable Many-Body Model of Goldfish Type
12. Polynomials Defined by Three-Term Recursion Relations and Satisfying a Second Recursion Relation: Connection with Discrete Integrability, Remarkable (Often Diophantine) Factorizations
13. Generalization of an Invertible Transformation and Examples of its Applications
14. Two New Solvable Dynamical Systems of Goldfish Type
15. Asymptotically isochronous systems
16. On a new technique to manufacture isochronous Hamiltonian systems: classical and quantal treatments
17. New solvable many-body problems in the plane
18. New solvable dynamical systems
19. A new solvable many-body problem of goldfish type
20. Time-independent Hamiltonians describing systems with friction: the “cyclotron with friction”
21. Finite and infinite systems of nonlinearly-coupled ordinary differential equations, the solutions of which feature remarkable Diophantine findings
22. A Solvable N-body Problem of Goldfish Type Featuring N2 Arbitrary Coupling Constants
23. Isochronous Dynamical System and Diophantine Relations I
24. Properties of the Zeros of the Sum of two Polynomials
25. How to Extend any Dynamical System so That it Becomes Isochronous, Asymptotically Isochronous or Multi-Periodic
26. Novel differential algorithm to evaluate all the zeros of any generic polynomial
27. Integrable Hamiltonian N-body problems of goldfish type featuring N arbitrary functions
28. A convenient expression of the time-derivative zn(k)(t) , of arbitrary order k, of the zero z n (t) of a time-dependent polynomial p N (z;t) of arbitrary degree N in z, and solvable dynamical systems
29. Novel solvable many-body problems
30. New Solvable Many-Body Model of Goldfish Type
31. Isochronous Oscillators
32. Generalization of an Invertible Transformation and Examples of its Applications
33. Solvable Systems of Isochronous, Multi-Periodic or Asymptotically Isochronous Nonlinear Oscillators
34. A Hamiltonian yielding damped motion in an homogeneous magnetic field: quantum treatment
35. Diophantine Properties Associated to the Equilibrium Configurations of an Isochronous N-Body Problem
36. On the Zeros of Polynomials Satisfying Certain Linear Second-Order ODEs Featuring Many Free Parameters
37. The peculiar (monic) polynomials, the zeros of which equal their coefficients
38. Equilibria of a solvable N-body problem and related properties of the N numbers x n at which the Jacobi polynomial of order N has the same value
39. Two New Solvable Dynamical Systems of Goldfish Type
40. Polynomials Defined by Three-Term Recursion Relations and Satisfying a Second Recursion Relation: Connection with Discrete Integrability, Remarkable (Often Diophantine) Factorizations
41. Solvable nonlinear discrete-time evolutions and Diophantine findings
42. New C-integrable and S-integrable systems of nonlinear partial differential equations
43. Solvable Systems Featuring 2 Dependent Variables Evolving in Discrete-Time via 2 Nonlinearly-Coupled First-Order Recursion Relations with Polynomial Right-Hand Sides
44. An Invertible Transformation and Some of its Applications
45. Two New Classes of Isochronous Hamiltonian Systems
46. Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motions
47. Periodic Solutions of a System of Complex ODEs. II. Higher Periods
48. Book Reviews by F Calogero
49. Solvable and/or Integrable and/or Linearizable N-Body Problems in Ordinary (Three-Dimensional) Space. I
50. A Solvable Many-Body Problem in the Plane
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