Dinámica orbital en un sistema axialsimétrico generalizado de Hénon – Heiles

Referencias

Aguirre, J; Vallejo, J. C.; Sanjuán, M. A. Wada Basins And Chaotic Invariant Sets In The Hénon-Heiles System. Physical Review E, 2001, Vol. 64, No 6, P. 066208. Aguirre, J.; Viana, R.; Sanjuán, M. Fractal Structures In Nonlinear Dynamics. ReViews Of Modern Physics, 2009, Vol. 81, No 1, P. 333. Barbanis, B. Escape Regions Of A Quartic Potential. Celestial Mechanics And Dynamical Astronomy, 1990, Vol. 48, No 1, P. 57-77. Binney, J.; Tremaine, S.: Galactic Dynamics. Princeton University Press (2011) Blesa, F. To Escape Or Not To Escape, That Is The Question - Perturbing The Hénon-Heiles Hamiltonian. International Journal Of Bifurcation And Chaos, 2012, Vol. 22, No 06, P. 1230010. Cleary, P. Lyapunov Exponents As A Measure Of The Size Of Chaotic Regions. Journal Of Mathematical Physics, 1989, Vol. 30, No 3, P. 689-695. Coccolo, M.; Seoane, J.; Sanjuán, M. Controlling Unpredictability In The Randomly Driven Hénon-Heiles System. Communications In Nonlinear Science And Numerical Simulation, 2013, Vol. 18, No 12, P. 3449-3457. Contopoulos G. Order And Chaos In Dynamical Astronomy. Springer Science & BusiNess Media; 2013 Mar 14. Daza, A., Wagemakers, A., Georgeot, B., Guéry-Odelin, D., & Sanjuán, M. A.. Basin Entropy: A New Tool To Analyze Uncertainty In Dynamical Systems. Scientific Reports, 2016, Vol. 6, P. 31416. De Zeeuw, T. Motion In The Core Of A Triaxial Potential. Monthly Notices Of The Royal Astronomical Society, 1985, Vol. 215, No 4, P. 731-760. 46 Dubeibe, F. L. Cálculo Del Máximo Exponente De Lyapunov Con Mathematica. Revista Colombiana De Física, 2013, Vol. 45, No 1. Dubeibe, F. L.; Bermúdez-Almanza, L. D. Optimal Conditions For The Numerical CalCulation Of The Largest Lyapunov Exponent For Systems Of Ordinary Differential Equations. International Journal Of Modern Physics C, 2014, Vol. 25, No 07, P. 1450024. Dubeibe, F. L.; Riaño-Doncel. A.; Zotos, E. E. Dynamical Analysis Of Bounded And Unbounded Orbits In A Generalized Hénon-Heiles System. Physics Letters A. 2018, Vol. 382 No 13, P. 904-910; Arxiv Preprint Arxiv:1712.01873, 2017. Gutzwiller, M. Chaos In Classical And Quantum Mechanics. Springer Science & BuSiness Media, 2013. Hamilton, I.; Light, J. On Distributed Gaussian Bases For Simple Model MultidimenSional Vibrational Problems. The Journal Of Chemical Physics, 1986, Vol. 84, No 1, P. 306-317. Hénon, M., Heiles, C. The Applicability Of The Third Integral Of Motion: Some Numerical Experiments. En: The Astronomical Journal, 1964, Vol. 69, P. 73. Hilborn, C. Chaos And Nonlinear Dynamics: An Introduction For Scientists And EngiNeers. Oxford University Press On Demand, 2000. Jaffe, C.; Reinhardt, W. Uniform Semiclassical Quantization Of Regular And Chaotic Classical Dynamics On The Hénon-Heiles Surface. The Journal Of Chemical Physics, 1982, Vol. 77, No 10, P. 5191-5203. Laskar J.; Robutel P.; Joutel F.; Gastineau M.; Correia A.; Levrard B. A Long-Term Numerical Solution For The Insolation Quantities Of The Earth. Astronomy & Astrophysics. 2004 Dec 1;428(1):261-85. 47 Lyapunov, A. The General Problem Of The Stability Of Motion. International Journal Of Control, 1992, Vol. 55, No 3, P. 531-534. Maoz, D.: Astrophysics In A Nutshell: Second Edition. Princeton University Press (2016) Seoane, M.; Sanjuán, M.; Lai, Y. Fractal Dimension In Dissipative Chaotic Scattering. Physical Review E, 2007, Vol. 76, No 1, P. 016208. Seoane, J.; Sanjuán, M. Exponential Decay And Scaling Laws In Noisy Chaotic ScatteRing. Physics Letters A, 2008, Vol. 372, No 2, P. 110-116. Seoane, J.; Sanjuán, M. Escaping Dynamics In The Presence Of Dissipation And Noise In Scattering Systems. International Journal Of Bifurcation And Chaos, 2010, Vol. 20, No 09, P. 2783-2793. Skokos, C. Alignment Indices: A New, Simple Method For Determining The Ordered Or Chaotic Nature Of Orbits. Journal Of Physics A: Mathematical And General, 2001, Vol. 34, No 47, P. 10029. Tabor, M. Chaos And Integrability In Nonlinear Dynamics: An Introduction. Wiley, 1989. Valdés, A. Poincaré, Creador De Los Métodos Todavía Modernos En Las Ecuaciones Diferenciales Y En La Mecánica Celeste. Arbor, 2004, Vol. 178, No 704, P. 669-689. Verhulst, F. Discrete Symmetric Dynamical Systems At The Main Resonances With ApPlication To Axi-Symmetric Galaxies. Phil. Trans. R. Soc. Lond. A , 1979, Vol. 290, No 1375, P. 435-465. Zotos, E. E. Fractal Basins Of Attraction In The Planar Circular Restricted Three-Body ProBlem With Oblateness And Radiation Pressure. Astrophysics And Space Science, 2016, Vol. 361, No 6, P. 181. 48 Zotos, E. E. Revealing The Basins Of Convergence In The Planar Equilateral Restricted Four-Body Problem. Astrophysics And Space Science, 2017, Vol. 362, No 1, P. 2. Zotos, E. An Overview Of The Escape Dynamics In The Hénon-Heiles Hamiltonian System. Meccanica, 2017, Vol. 52, No 11-12, P. 2615-2630. Zotos, E. E. Determining The Newton-Raphson Basins Of Attraction In The ElectromagNetic Copenhagen Problem. International Journal Of Non-Linear Mechanics, 2017, Vol. 90, P. 111-123. Zotos, E. E.; Riaño-Doncel, A.; Dubeibe, F. L. Basins Of Convergence Of EquiliBrium Points In The Generalized Hénon-Heiles System. International Journal Of NonLinear Mechanics, 2017, Vol. 99, P. 218-228.