Rotating periodic solutions of second order dissipative dynamical systems

A. Ambrosetti, 1993, <em>Periodic Solutions of Singular Lagrangian Systems</em>,, Progress in Nonlinear Differential Equations and Their Applications, 10.1007/978-1-4612-0319-3

K. C. Chang, 2005, <em>Methods in Nonlinear Analysis</em>,, Springer Monographs in Mathematics

J. F. Chu, 2007, Periodic solutions of second order non-autonomous singular dynamical systems,, <em>J. Differential Equations</em>, 239, 196, 10.1016/j.jde.2007.05.007

I. Ekeland, 1990, <em>Convexity Methods in Hamiltonian Mechanics</em>,, Results in Mathematics and Related Areas, 10.1007/978-3-642-74331-3

A. Fonda, 2008, Periodic orbits of radially symmetric Keplerian-like systems: A topological degree approach,, <em>J. Differential Equations</em>, 244, 3235, 10.1016/j.jde.2007.11.005

A. Fonda, 2011, Periodic, subharmonic, and quasi-periodic oscillations under the action of a central force,, <em>Discrete Contin. Dyn. Syst.</em>, 29, 169, 10.3934/dcds.2011.29.169

D. Franco, 2008, Periodic solutions of singular systems without the strong force condition,, <em>Proc. Amer. Math. Soc.</em>, 136, 1229, 10.1090/S0002-9939-07-09226-X

D. Franco, 2006, Collisionless orbits of singular and non singular dynamical systems,, <em>Discrete Contin. Dyn. Syst.</em>, 15, 747, 10.3934/dcds.2006.15.747

W. B. Gordon, 1975, Conservative dynamical systems involving strong forces,, <em>Trans. Amer. Math. Soc.</em>, 204, 113, 10.1090/S0002-9947-1975-0377983-1

P. Habets, 1990, Periodic solutions of dissipative dynamical systems with singular potentials,, <em>Differential Integral Equations</em>, 3, 1139, 10.57262/die/1379101984

Y. M. Long, 2002, <em>Index Theory for Symplectic Paths with Applications</em>,, Progress in Mathematics, 10.1007/978-3-0348-8175-3

J. Mawhin, 1979, <em>Topological Degree Methods in Nonlinear Boundary Value Problems</em>,, CBMS Regional Conference Series in Mathematics, 10.1090/cbms/040

J. Mawhin, 1989, <em>Critical Point Theory and Hamiltonian Systems</em>,, Applied Mathematical Sciences, 10.1007/978-1-4757-2061-7

P. Rabinowitz, 1986, <em>Minimax Methods in Critical Point Theory with Applications to Differential Equations</em>,, CBMS Regional Conference Series in Mathematics, 10.1090/cbms/065

P. J. Torres, 2004, Non-collision periodic solutions of forced dynamical systems with weak singularities,, <em>Discrete Contin. Dyn. Syst.</em>, 11, 693, 10.3934/dcds.2004.11.693

P. J. Torres, 2013, Periodic and quasi-periodic motions of a relativistic particle under a central force field,, <em>Bull. Lond. Math. Soc.</em>, 45, 140, 10.1112/blms/bds076

J. R. Ward, 2013, Periodic solutions of first order systems,, <em>Discrete Contin. Dyn. Syst.</em>, 33, 381, 10.3934/dcds.2013.33.381

M. R. Zhang, 1999, Periodic solutions of damped differential systems with repulsive singular forces,, <em>Proc. Amer. Math. Soc.</em>, 127, 401, 10.1090/S0002-9939-99-05120-5