Julio C. Gutiérrez-Vega

Generating author description...

All published works

Action	Title	Year	Authors
+	Confocal parabolic billiard with gravitational potential: Classical and quantum description	2024	Marcelo Rodríguez-González Julio C. Gutiérrez-Vega
+ PDF Chat	Quantum states resembling classical periodic trajectories in mesoscopic elliptic billiards	2024	Jesús G. Riestra Julio C. Gutiérrez-Vega
+ PDF Chat	Solutions of the Lippmann-Schwinger equation for confocal parabolic billiards	2024	Alberto Ruiz-Biestro Julio C. Gutiérrez-Vega
+	Steady-state solutions of the Whittaker–Hill equation of fractional order	2024	Erick R. Parra-Verde Julio C. Gutiérrez-Vega
+ PDF Chat	Elliptic billiard with harmonic potential: Classical description	2023	Bernardo Barrera Juan P. Ruz-Cuen Julio C. Gutiérrez-Vega
+	On-axis spherochromatic singlet	2023	Rafael G González-Acuña Héctor A Chaparro-Romo Julio C. Gutiérrez-Vega
+	Classical periodic orbits from coherent states in mesoscopic quantum elliptic billiards	2023	Jesús G. Riestra Julio C. Gutiérrez-Vega
+	Solutions of the Lippmann-Schwinger equation for mesoscopic confocal parabolic billiards	2023	Alberto Ruiz-Biestro Julio C. Gutiérrez-Vega
+	Pancharatnam–Berry phase algorithm to calculate the area of arbitrary polygons on the Poincaré sphere	2020	Julio C. Gutiérrez-Vega Gumaro Rendon
+	On-axis spherochromatic singlet	2020	Rafael G González-Acuña Héctor A Chaparro-Romo Julio C. Gutiérrez-Vega
+	Generation of light beams with custom orbital angular momentum and tunable transverse intensity symmetries	2019	Job Mendoza-Hernández Mateusz Szatkowski Manuel F. Ferrer-Garcia Julio C. Gutiérrez-Vega Dorilian Lopez-Mago
+	A transition integral transform obtained from generalization of the Fourier transform	2019	Rafael G González-Acuña Julio C. Gutiérrez-Vega
+ PDF Chat	Soliton dynamics in finite nonlocal media with cylindrical symmetry	2019	Emmanuel Garza Servando López-Aguayo Julio C. Gutiérrez-Vega
+	Single lens telescope	2019	Rafael G González-Acuña Héctor A Chaparro-Romo Julio C. Gutiérrez-Vega
+ PDF Chat	Periodic Solutions, Eigenvalue Curves, and Degeneracy of the Fractional Mathieu Equation	2016	Alfredo Parra-Hinojosa Julio C. Gutiérrez-Vega
+	Generation of arbitrary complex quasi-non-diffracting optical patterns	2013	Antonio Ortiz-Ambriz Servando López-Aguayo Yaroslav V. Kartashov Victor A. Vysloukh Dmitri Petrov Hipolito Garcia-Gracia Julio C. Gutiérrez-Vega Lluís Torner
+	Fractional Ince equation with a Riemann–Liouville fractional derivative	2013	Alfredo Parra-Hinojosa Julio C. Gutiérrez-Vega
+ PDF Chat	Observation of non-diffracting behavior at the single-photon level	2013	Héctor Cruz-Ramírez Roberto Ramírez-Alarcón Francisco J. Morelos Pedro A. Quinto‐Su Julio C. Gutiérrez-Vega Alfred B. U’Ren
+	Observation of non-diffracting behavior at the single-photon level	2012	Héctor Cruz-Ramírez Roberto Ramírez-Alarcón Francisco J. Morelos Pedro A. Quinto‐Su Julio C. Gutiérrez-Vega Alfred B. U’Ren
+	Ince-Gaussian two-dimensional fractional Fourier transform for optical wave propagation	2005	Miguel A. Bandres Julio C. Gutiérrez-Vega
+	Ince–Gaussian series representation of the two-dimensional fractional Fourier transform	2005	Miguel A. Bandres Julio C. Gutiérrez-Vega
+	Classical solutions for a free particle in a confocal elliptic billiard	2004	Miguel A. Bandres Julio C. Gutiérrez-Vega
+	Classical orbits in confocal billiards with elliptic and hyperbolic walls	2003	Miguel A. Bandrés-Motola Hugo Alarcón Julio C. Gutiérrez-Vega
+	Probability distributions in classical and quantum elliptic billiards	2001	Julio C. Gutiérrez-Vega S. Chávez-Cerda Ramón M. Rodríguez‐Dagnino

Common Coauthors

Coauthor	Papers Together
Rafael G González-Acuña	4
Miguel A. Bandres	3
Héctor A Chaparro-Romo	3
Roberto Ramírez-Alarcón	2
Servando López-Aguayo	2
Alfredo Parra-Hinojosa	2
Jesús G. Riestra	2
Alberto Ruiz-Biestro	2
Pedro A. Quinto‐Su	2
Francisco J. Morelos	2
Alfred B. U’Ren	2
Héctor Cruz-Ramírez	2
Hugo Alarcón	1
Yaroslav V. Kartashov	1
Ramón M. Rodríguez‐Dagnino	1
Gumaro Rendon	1
Emmanuel Garza	1
Hipolito Garcia-Gracia	1
Dorilian Lopez-Mago	1
Erick R. Parra-Verde	1
Marcelo Rodríguez-González	1
Victor A. Vysloukh	1
Antonio Ortiz-Ambriz	1
Job Mendoza-Hernández	1
S. Chávez-Cerda	1
Mateusz Szatkowski	1
Bernardo Barrera	1
Lluís Torner	1
Miguel A. Bandrés-Motola	1
Manuel F. Ferrer-Garcia	1
Juan P. Ruz-Cuen	1
Dmitri Petrov	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Regularity and chaos in classical mechanics, illustrated by three deformations of a circular 'billiard'	1981	Michael Berry	4
+	Geometry and Billiards	2005	Serge Tabachnikov	4
+	Fractional differential equations	1999	Igor Podlubný	3
+	Theory and Application of Mathieu Functions	1964	N. W. McLachlan	3
+	Classical solutions for a free particle in a confocal elliptic billiard	2004	Miguel A. Bandres Julio C. Gutiérrez-Vega	3
+	Fractional Mathieu equation	2009	Richard H. Rand Si Mohamed Sah M. K. Suchorsky	3
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	3
+	A note on fractional-order derivatives of periodic functions	2010	Mohammad Saleh Tavazoei	3
+	Fractional Ince equation with a Riemann–Liouville fractional derivative	2013	Alfredo Parra-Hinojosa Julio C. Gutiérrez-Vega	2
+ PDF Chat	Elliptic billiard with harmonic potential: Classical description	2023	Bernardo Barrera Juan P. Ruz-Cuen Julio C. Gutiérrez-Vega	2
+	Geometric derivations of the second constant of motion for an elliptic 'billiard' and other results	1994	Jie Zhang A. C. Merchant W. D. M. Rae	2
+	Periodic Differential Equations	1964		2
+	Handbook of Elliptic Integrals for Engineers and Physicists	1954	Paul F. Byrd Morris D. Friedman	2
+	Chaotic dynamics and orbit stability in the parabolic oval billiard	2002	Vjera Lopac Ivana Mrkonjić Danko Radić	2
+	Classification of billiard motions in domains bounded by confocal parabolas	2014	V. V. Fokicheva	2
+ PDF Chat	The degenerate parametric oscillator and Ince's equation	2010	Ricardo Cordero–Soto Sergeĭ K. Suslov	2
+	A Linear Differential Equation with Periodic Coefficients	1925	E. L. Ince	2
+	Stability Regions for the Damped Mathieu Equation	1969	James Taylor Kumpati S. Narendra	2
+	Electromagnetic waves at parabolic boundaries	1997	Pïerre Hillion	1
+	Difference methods for solving boundary value problems for fractional differential equations	2006	F. I. Taukenova М. Х. Шхануков–Лафишев	1
+ PDF Chat	Shaping the Waveform of Entangled Photons	2007	Alejandra Valencia Alessandro Ceré Xiaojuan Shi Gabriel Molina‐Terriza Juan P. Torres	1
+ PDF Chat	Aharonov-Bohm effect and resonances in the circular quantum billiard with two leads	1999	Suhan Ree L. E. Reichl	1
+ PDF Chat	Algorithm 537: Characteristic Values of Mathieu's Differential Equation [S22]	1979	Walter R. Leeb	1
+ PDF Chat	Circular, elliptic and oval billiards in a gravitational field	2014	Diogo Ricardo da Costa Carl P. Dettmann Edson D. Leonel	1
+	Accurate calculation of the modified Mathieu functions of integer order	2007	Arnie Van Buren Jeffrey E. Boisvert	1
+ PDF Chat	Beyond Perturbation: Introduction to the Homotopy Analysis Method	2004	Shijun Liao S. A. Sherif	1
+ PDF Chat	Stable vortex solitons in nonlocal self-focusing nonlinear media	2005	A. I. Yakimenko Yuri Zaliznyak Yuri S. Kivshar	1
+ PDF Chat	Method to Generate Complex Quasinondiffracting Optical Lattices	2010	Servando López-Aguayo Yaroslav V. Kartashov Victor A. Vysloukh Lluís Torner	1
+ PDF Chat	Spatial correlations in parametric down-conversion	2010	S. P. Walborn C. H. Monken S. Pádua P. H. Souto Ribeiro	1
+	Transition Curves for the Quasi-Periodic Mathieu Equation	1998	Randolph S. Zounes Richard H. Rand	1
+ PDF Chat	The fractional fourier transform	2001	Haldun M. Özaktaş M. Alper Kutay	1
+ PDF Chat	Generation of electron Airy beams	2013	Noa Voloch‐Bloch Y. Lereah Yigal Lilach A. Gover Ady Arie	1
+ PDF Chat	Solution for (1+1)-dimensional surface solitons in thermal nonlinear media	2011	Xuekai Ma Zhenjun Yang Daquan Lu Qi Guo Wei Hu	1
+	The Transforms and Applications Handbook, Second Edition	2000	Alexander D. Poularikas	1
+	Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation	1986	J. A. C. Weideman B. M. Herbst	1
+ PDF Chat	Stability of two-dimensional spatial solitons in nonlocal nonlinear media	2006	Stefan Skupin Ole Bang D. Edmundson W. Krolikowski	1
+	A new integrable gravitational billiard	1991	H. J. Korsch Ji Lang	1
+ PDF Chat	Theory of ultracold atomic Fermi gases	2008	S. Giorgini Лев П. Питаевский S. Stringari	1
+	Transform Methods for Solving Partial Differential Equations	2004	Dean G. Duffy	1
+	Shocks in Nonlocal Media	2007	Neda Ghofraniha Claudio Conti G. Ruocco S. Trillo	1
+ PDF Chat	Scattering properties of a cut-circle billiard waveguide with two conical leads	2000	Kathrin Fuchss Suhan Ree L. E. Reichl	1
+ PDF Chat	Route to Nonlocality and Observation of Accessible Solitons	2003	Claudio Conti Marco Peccianti Gaetano Assanto	1
+	Fractional relaxation-oscillation and fractional diffusion-wave phenomena	1996	Francesco Mainardi	1
+ PDF Chat	Spectral duality for planar billiards	1995	Jean-Pierre Eckmann Claude‐Alain Pillet	1
+	Designs of fractional delay filter, Nyquist filter, lowpass filter and diamond-shaped filter	2006	Chien‐Cheng Tseng	1
+	Integral transforms, spectral representation and the d-bar problem	2000	A. S. Fokas Beatrice Pelloni	1
+	Some comparison of two fractional oscillators	2009	Yonggang Kang Zhang Xiu’e	1
+	Fractional differential equations in electrochemistry	2009	Keith B. Oldham	1
+	Ring surface waves in thermal nonlinear media	2007	Yaroslav V. Kartashov Victor A. Vysloukh Lluís Torner	1
+	Averaging Oscillations with Small Fractional Damping and Delayed Terms	2004	Pankaj Wahi Anindya Chatterjee	1