Pointwise periodic maps with quantized first integrals

[1]  S. Cheng,et al.  Abundant periodic and aperiodic solutions of a discontinuous three-term recurrence relation , 2019, Journal of Difference Equations and Applications.

[2]  F. Tramontana,et al.  Continuous and Discontinuous Piecewise-Smooth One-Dimensional Maps , 2019 .

[3]  M. Schanz,et al.  Continuous and Discontinuous Piecewise-Smooth One-Dimensional Maps: Invariant Sets and Bifurcation Structures , 2014 .

[4]  S. Cheng,et al.  Complete periodic behaviours of real and complex bang bang dynamical systems , 2014 .

[5]  Sui Sun Cheng,et al.  Complete Periodicity Analysis for a Discontinuous Recurrence equation , 2013, Int. J. Bifurc. Chaos.

[6]  A. Cima,et al.  Different Approaches to the Global Periodicity Problem , 2012 .

[7]  Complete set of periodic solutions of a discontinuous recurrence equation , 2012 .

[8]  A. Goetz,et al.  Global properties of a family of piecewise isometries , 2009, Ergodic Theory and Dynamical Systems.

[9]  James D. Meiss,et al.  Neimark-Sacker Bifurcations in Planar, Piecewise-Smooth, Continuous Maps , 2008, SIAM J. Appl. Dyn. Syst..

[10]  C. Budd,et al.  Review of ”Piecewise-Smooth Dynamical Systems: Theory and Applications by M. di Bernardo, C. Budd, A. Champneys and P. 2008” , 2020 .

[11]  A. Cima,et al.  Global periodicity and complete integrability of discrete dynamical systems , 2006 .

[12]  S. Tabachnikov,et al.  Dual Billiards , 2005 .

[13]  Arek Goetz,et al.  A dichotomy for a two-parameter piecewise rotation , 2003, Ergodic Theory and Dynamical Systems.

[14]  Erik Mosekilde,et al.  Bifurcations and chaos in piecewise-smooth dynamical systems , 2003 .

[15]  George C. Verghese,et al.  Nonlinear Phenomena in Power Electronics , 2001 .

[16]  Christian Mira,et al.  Plane Maps with Denominator: I. Some Generic Properties , 1999 .

[17]  B. Brogliato.  Nonsmooth Mechanics: Models, Dynamics and Control , 1999 .

[18]  Christian Mira,et al.  Chaotic Dynamics in Two-Dimensional Noninvertible Maps , 1996 .

[19]  E. Gutkin,et al.  Dual polygonal billiards and necklace dynamics , 1992 .

[20]  G. C. Shephard,et al.  Tilings and Patterns , 1990 .

[21]  F. Vivaldi,et al.  Global stability of a class of discontinuous dual billiards , 1987 .

[22]  Jürgen Moser.  Is the solar system stable? , 1978 .

[23]  Branko Grünbaum,et al.  Tilings by Regular Polygons , 1977 .

[24]  D. Montgomery.  Pointwise Periodic Homeomorphisms , 1937 .

[25]  Laura Hamilton Waxman.  The Solar System , 1885, Nature.