Journal de Physique

Physics of Dry Granular Media

A. Valance and D. Bideau
Physics of Dry Granular Media 499 (1998)
DOI: 10.1007/978-94-017-2653-5_36
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Chaotic and Stochastic Behaviour in Automatic Production Lines

Lecture Notes in Physics Monographs, Chaotic and Stochastic Behaviour in Automatic Production Lines 22 81 (1994)
DOI: 10.1007/978-3-540-48448-6_7
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Direct evidence for the suppression of period doubling in the bouncing-ball model

Piotr Pierański
Physical Review A 37 (5) 1782 (1988)
DOI: 10.1103/PhysRevA.37.1782
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Relative rotation rates for driven dynamical systems

H. G. Solari and R. Gilmore
Physical Review A 37 (8) 3096 (1988)
DOI: 10.1103/PhysRevA.37.3096
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Akiko Takahashi, Hiroo Sekiya, Kazuyuki Aihara and Takuji Kousaka
2111 (2012)
DOI: 10.1109/ISCAS.2012.6271702
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Dan Shi, Yoan Civet and Yves Perriard
2170 (2014)
DOI: 10.1109/ICEMS.2014.7013862
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Rebecca Fenton Friesen, Michael Wiertlewski and J. Edward Colgate
167 (2016)
DOI: 10.1109/HAPTICS.2016.7463172
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Self-reanimating chaos in the bouncing-ball system

Zbigniew J. Kowalik, Marek Franaszek and Piotr Pierański
Physical Review A 37 (10) 4016 (1988)
DOI: 10.1103/PhysRevA.37.4016
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Simulation of Inhomogeneous Columns of Beads under Vertical Vibration

Marcus V. Carneiro, Joaquim J. Barroso and Elbert E. N. Macau
Mathematical Problems in Engineering 2009 1 (2009)
DOI: 10.1155/2009/345947
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Nonlinear dynamics of excited plate immersed in granular matter

Lu Liu, Jian Li and Chunbo Wan
Nonlinear Dynamics 91 (1) 147 (2018)
DOI: 10.1007/s11071-017-3861-y
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Energy decay in a tapped granular column: Can a one-dimensional toy model provide insight into fully three-dimensional systems?

C. R. K. Windows-Yule, D. L. Blackmore and A. D. Rosato
Physical Review E 96 (4) (2017)
DOI: 10.1103/PhysRevE.96.042902
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Dynamics of a ball bouncing on a rough inclined line

Alexandre Valance and Daniel Bideau
Physical Review E 57 (2) 1886 (1998)
DOI: 10.1103/PhysRevE.57.1886
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Comparison of Newtonian and Special-Relativistic Trajectories with the General-Relativistic Trajectory for a Low-Speed Weak-Gravity System

Shiuan-Ni Liang, Boon Leong Lan and Gerardo Adesso
PLoS ONE 7 (4) e34720 (2012)
DOI: 10.1371/journal.pone.0034720
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Time resolved particle dynamics in granular convection

J.M. Pastor, D. Maza, I. Zuriguel, A. Garcimartín and J.-F. Boudet
Physica D: Nonlinear Phenomena 232 (2) 128 (2007)
DOI: 10.1016/j.physd.2007.06.005
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Numerical modelling of granular flows: a reality check

C. R. K. Windows-Yule, D. R. Tunuguntla and D. J. Parker
Computational Particle Mechanics 3 (3) 311 (2016)
DOI: 10.1007/s40571-015-0083-2
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Non-stationary dynamics in the bouncing ball: A wavelet perspective

Abhinna K. Behera, A. N. Sekar Iyengar and Prasanta K. Panigrahi
Chaos: An Interdisciplinary Journal of Nonlinear Science 24 (4) 043107 (2014)
DOI: 10.1063/1.4896774
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Resonance effects on the dynamics of dense granular beds: achieving optimal energy transfer in vibrated granular systems

C R K Windows-Yule, A D Rosato, A R Thornton and D J Parker
New Journal of Physics 17 (2) 023015 (2015)
DOI: 10.1088/1367-2630/17/2/023015
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Ratcheting and tumbling motion of Vibrots

Christian Scholz, Sean D’Silva and Thorsten Pöschel
New Journal of Physics 18 (12) 123001 (2016)
DOI: 10.1088/1367-2630/18/12/123001
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Short granular chain under vibration: Spontaneous switching of states

Y.-C. Sun, H.-T. Fei, P.-C. Huang, et al.
Physical Review E 93 (3) (2016)
DOI: 10.1103/PhysRevE.93.032902
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Period-infinity periodic motions, chaos, and spatial coherence in a 10 degree of freedom impact oscillator

J.P. Cusumano and B.-Y. Bai
Chaos, Solitons & Fractals 3 (5) 515 (1993)
DOI: 10.1016/0960-0779(93)90003-J
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Bouncing ball dynamics: Simple model of motion of the table and sinusoidal motion

Andrzej Okniński and Bogusław Radziszewski
International Journal of Non-Linear Mechanics 65 226 (2014)
DOI: 10.1016/j.ijnonlinmec.2014.06.005
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Bouncing ball problem: Stability of the periodic modes

Joaquim J. Barroso, Marcus V. Carneiro and Elbert E. N. Macau
Physical Review E 79 (2) (2009)
DOI: 10.1103/PhysRevE.79.026206
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Stability of periodic modes and bifurcation behaviors in a bouncing-dimer system

Jiao Wang, Caishan Liu, Marian Wiercigroch, Chenghua Wang and Yongtao Shui
Nonlinear Dynamics 86 (3) 1477 (2016)
DOI: 10.1007/s11071-016-2973-0
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Accuracy of the non-relativistic approximation to relativistic probability densities for a low-speed weak-gravity system

Shiuan-Ni Liang and Boon Leong Lan
The European Physical Journal Plus 130 (11) (2015)
DOI: 10.1140/epjp/i2015-15233-y
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Suppression of period doubling in the dynamics of a bouncing ball

Kurt Wiesenfeld and Nicholas B. Tufillaro
Physica D: Nonlinear Phenomena 26 (1-3) 321 (1987)
DOI: 10.1016/0167-2789(87)90232-6
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The three-dimensional dynamics of the die throw

M. Kapitaniak, J. Strzalko, J. Grabski and T. Kapitaniak
Chaos: An Interdisciplinary Journal of Nonlinear Science 22 (4) 047504 (2012)
DOI: 10.1063/1.4746038
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Subharmonic bifurcations and chaotic dynamics of an air damping completely inelastic bouncing ball

Hong Han, Zehui Jiang, Rui Zhang and Jing Lyu
The European Physical Journal B 86 (12) (2013)
DOI: 10.1140/epjb/e2013-40675-0
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Dynamics of a Grain-Filled Ball on a Vibrating Plate

F. Pacheco-Vázquez, F. Ludewig and S. Dorbolo
Physical Review Letters 113 (11) (2014)
DOI: 10.1103/PhysRevLett.113.118001
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Numerical study of a model of vibro-transporter

M.-O. Hongler, P. Cartier and P. Flury
Physics Letters A 135 (2) 106 (1989)
DOI: 10.1016/0375-9601(89)90654-3
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Dynamics of a ball bouncing on a vibrated elastic membrane

B. Eichwald, M. Argentina, X. Noblin and F. Celestini
Physical Review E 82 (1) (2010)
DOI: 10.1103/PhysRevE.82.016203
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Bifurcations and chaos for the quasiperiodic bouncing ball

César R. de Oliveira and Paulo S. Gonçalves
Physical Review E 56 (4) 4868 (1997)
DOI: 10.1103/PhysRevE.56.4868
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Anomalous chaotic transients and repellers of bouncing-ball dynamics

Marek Franaszek and Heikki M. Isomäki
Physical Review A 43 (8) 4231 (1991)
DOI: 10.1103/PhysRevA.43.4231
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Quantum bouncer with chaos

S. T. Dembiński, A. J. Makowski and P. Pepłowski
Physical Review Letters 70 (8) 1093 (1993)
DOI: 10.1103/PhysRevLett.70.1093
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Dynamics of an elastic ball bouncing on an oscillating plane and the oscillon

James M Hill, Michael J Jennings, Dong Vu To and Kiren A Williams
Applied Mathematical Modelling 24 (10) 715 (2000)
DOI: 10.1016/S0307-904X(00)00002-0
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Bouncing ball problem: numerical behavior characterization

E E N Macau, M V Carneiro and J J Barroso
Journal of Physics: Conference Series 246 012003 (2010)
DOI: 10.1088/1742-6596/246/1/012003
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Braid analysis of a bouncing ball

Nicholas B. Tufillaro
Physical Review E 50 (6) 4509 (1994)
DOI: 10.1103/PhysRevE.50.4509
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Newtonian versus general-relativistic prediction for the trajectory of a bouncing ball system

Shiuan-Ni Liang and Boon Leong Lan
Results in Physics 1 (1) 36 (2011)
DOI: 10.1016/j.rinp.2011.10.001
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On the dynamics of mechanical milling in a vibratory mill

H. Huang, J. Pan and P.G. McCormick
Materials Science and Engineering: A 232 (1-2) 55 (1997)
DOI: 10.1016/S0921-5093(97)00084-1
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Lift-Off Dynamics in a Simple Jumping Robot

Jeffrey Aguilar, Alex Lesov, Kurt Wiesenfeld and Daniel I. Goldman
Physical Review Letters 109 (17) (2012)
DOI: 10.1103/PhysRevLett.109.174301
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Ratchet rotation of a 3D dimer on a vibrating plate

Jiao Wang, Caishan Liu, Yan-Bin Jia and Daolin Ma
The European Physical Journal E 37 (1) (2014)
DOI: 10.1140/epje/i2014-14001-x
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Chaotic dynamics of an air-damped bouncing ball

M. A. Naylor, P. Sánchez and Michael R. Swift
Physical Review E 66 (5) (2002)
DOI: 10.1103/PhysRevE.66.057201
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REGULAR AND CHAOTIC DYNAMICS IN BOUNCING BALL MODELS

SEBASTIAN VOGEL and STEFAN J. LINZ
International Journal of Bifurcation and Chaos 21 (03) 869 (2011)
DOI: 10.1142/S0218127411028854
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Stability Analysis Using Monodromy Matrix for Impacting Systems

Hiroyuki ASAHARA and Takuji KOUSAKA
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E101.A (6) 904 (2018)
DOI: 10.1587/transfun.E101.A.904
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Effect of collision duration on the chaotic dynamics of a ball bouncing on a vertically vibrating plate

Z.H. Jiang, Z.J. Liang, A.C. Wu and R.H. Zheng
Physica A: Statistical Mechanics and its Applications 494 380 (2018)
DOI: 10.1016/j.physa.2017.12.062
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Influence of Air on the Bouncing Dynamics of Shallow Vibrated Granular Beds: Kroll’s Model Predictions

Bruno V. Guerrero, Vladimir I. Idler and Iván J. Sánchez
Industrial & Engineering Chemistry Research 55 (18) 5287 (2016)
DOI: 10.1021/acs.iecr.5b04912
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Dynamic analysis of a ball bouncing on a flexible beam

L. Demeio and S. Lenci
Journal of Sound and Vibration 441 152 (2019)
DOI: 10.1016/j.jsv.2018.10.024
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The self-organization of ball bouncing

Guillaume Avrin, Isabelle A. Siegler, Maria Makarov and Pedro Rodriguez-Ayerbe
Biological Cybernetics 112 (6) 509 (2018)
DOI: 10.1007/s00422-018-0776-8
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Motion of a ball dropped onto a one-dimensional self-affine surface

Harold Auradou, Daniel Bideau, Alex Hansen and Knut Jø rgen Må lø y
Journal of Physics A: Mathematical and General 30 (14) 4915 (1997)
DOI: 10.1088/0305-4470/30/14/007
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Dynamics and Stochastic Processes Theory and Applications

Max-Olivier Hongler
Lecture Notes in Physics, Dynamics and Stochastic Processes Theory and Applications 355 142 (1990)
DOI: 10.1007/3-540-52347-2_29
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An impact model of a ball bouncing on a flexible beam

L. Demeio and S. Lenci
Meccanica 55 (12) 2439 (2020)
DOI: 10.1007/s11012-020-01147-9
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Chaotic Dynamics

J. P. van der Weele
NATO ASI Series, Chaotic Dynamics 298 357 (1992)
DOI: 10.1007/978-1-4615-3464-8_33
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Informatics in Control, Automation and Robotics

Guillaume Avrin, Maria Makarov, Pedro Rodriguez-Ayerbe and Isabelle A. Siegler
Lecture Notes in Electrical Engineering, Informatics in Control, Automation and Robotics 495 719 (2020)
DOI: 10.1007/978-3-030-11292-9_36
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Crises in a dissipative bouncing ball model

André L.P. Livorati, Iberê L. Caldas, Carl P. Dettmann and Edson D. Leonel
Physics Letters A 379 (43-44) 2830 (2015)
DOI: 10.1016/j.physleta.2015.09.016
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Minimal topological chaos coexisting with a finite set of homoclinic and periodic orbits

Walter Huaraca and Valentín Mendoza
Physica D: Nonlinear Phenomena 315 83 (2016)
DOI: 10.1016/j.physd.2015.10.009
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Energy level structure of chaotic motion in bouncing ball system

Z.H. Jiang and D.W. Zhou
Physica D: Nonlinear Phenomena 427 133023 (2021)
DOI: 10.1016/j.physd.2021.133023
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Dissipative properties for a ball bouncing on a vertically vibrating plate

Z.H. Jiang, Z.J. Liang, D.W. Zhou and Y.J. Deng
Physica A: Statistical Mechanics and its Applications 548 123875 (2020)
DOI: 10.1016/j.physa.2019.123875
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Faraday waves under perpendicular electric field and their application to the walking droplet phenomenon

Raúl Fernández-Mateo and Alberto T. Pérez
Physics of Fluids 33 (1) 017109 (2021)
DOI: 10.1063/5.0028118
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Dynamical properties of a non-autonomous bouncing ball model forced by non-harmonic excitation

Marek Lampart and Jaroslav Zapoměl
Mathematical Methods in the Applied Sciences 39 (16) 4923 (2016)
DOI: 10.1002/mma.4186
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Paradoxical simulation results of chaos-like chattering in the bouncing ball system

Kilian Schindler and Remco I. Leine
Physica D: Nonlinear Phenomena 419 132854 (2021)
DOI: 10.1016/j.physd.2021.132854
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Dynamical aspects of a bouncing ball in a nonhomogeneous field

Felipe Augusto O. Silveira, Sidiney G. Alves, Edson D. Leonel and Denis G. Ladeira
Physical Review E 103 (6) (2021)
DOI: 10.1103/PhysRevE.103.062205
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Experimental and numerical study of nonsmooth maximum bounce height changes in a bouncing ball system

Shu Karube, Takuji Kousaka and Naohiko Inaba
Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (10) 103111 (2020)
DOI: 10.1063/5.0009343
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M.-O. Hongler, J. Jacot, P. Ney, F. Arrieta, O. Ryser, C. Gertsch, J.-L. Lopez and R. Marques
1 613 (2001)
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First results on vibration feeding of small parts in the presence of adhesive forces

Jan‐Mark Vorstenbosch, Fabien Bourgeois, Sandra Koelemeijer Chollet and Marcel Tichem
Assembly Automation 24 (2) 177 (2004)
DOI: 10.1108/01445150410529964
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Inelastic bouncing of a spherical ball in the presence of quadratic drag with application to sports balls

Marko V. Lubarda and Vlado A. Lubarda
Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology 175433712210861 (2022)
DOI: 10.1177/17543371221086190
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Period doubling boundaries of a bouncing ball

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