Compartimos referencias relacionadas directa o indirectamente con sistemas dinámicos modelados mediante sistemas de ecuaciones diferenciales definidos por tramos (en ingl. se incluye p. ej. PSS, PWL, PWA Systems). Se indican también algunas referencias contextuales. 

[Rev. 2017.04.22]

Papers

1. ∃Alzate Castaño, Ricardo (2008) Analysis and application of bifurcations in systems with impact and chattering. PhD Dissertation.{Tutor: Prof. Mario di Bernardo}  [acc. 2014.12.25]
2. Barton, David A. W. (2009) Stability calculations for piecewise-smooth delay equations, International Journal of Bifurcation and Chaos, vol 19., pp. 639-650 [acc. 2014.01.08]
3. Benmerzouk, Djamila & Jean-Pierre Barbot.(2009)Chaotification of piecewise smooth systems. Chaos 09, Londre, United Kingdom. <hal-00772236> [acc. 2014.12.25]
4. τBiemond, J. J. B. et al. (2009) A complete bifurcation analysis of planar conewise affine systems. [acc. 2014.10.12]
5. τBiemond, J. J. B. et al. (2010) Nonsmooth bifurcations of equilibria in planar continuous systems. Nonlinear Analysis: Hibrid systems 4, 451-474. Elsevier {∃see procedure in section 4.3} [acc. 2014.09.15]
6. Brandon, Quentin (2009) →Numerical Method of Bifurcation Analysis for Piecewise-smooth Nonlinear Dynamical Systems. Tesis Doctoral {ver también: ⇒Numerical Method of Bifurcation Analysis for Piecewise-smooth Nonlinear Dynamical Systems: Application to Alpazur oscillator}[acc. 2014.01.08]
7. Broucke, Mireille E. et al. (2001) Structural stability of piecewise smooth systems. [acc. 2014.01.08]
8. Burden, Samuel A. et al. (2013) Model reduction near periodic orbits of hybrid dynamical systems. [acc. 2015.01.16]
9. ℵBurden, Samuel A. et al. (2014) Event–Selected Vector Field Discontinuities Yield Piecewise–Differentiable Flows. [acc. 2014.12.25]
10. τℵCarmona Centeno, Victoriano (2002) Bifurcaciones en sistemas dinámicos lineales a trozos. Tesis doctoral. Univ. de Sevilla, España [2015.04.21]
11. ∃Champnewys, Alan R, Mario di Bernardo (2008) Piecewise smooth dynamical systems. Scholarpedia 3(9):4041  [acc, 2014.12.25]
12. ∀Champneys, Alan (2009) Rock, Rattle and Slide bifurcation theory for piecewise-smooth systems. [acc. 2014.12.25]
13. Colombo, A. et al. (2009) Stable Manifolds of Saddles in Piecewise Smooth Systems. CMES, vol.53, no.3, pp.235-254 [acc. 2014.01.08]
14. Colombo, A. et al. (2010) ♦Teixeira singularities in 3D switched feedback control systems. Systems & Control Letters, 59 (10). pp. 615-622 [acc. 2014.01.08]
15. Colombo, A. et al. (2012) ♦Bifurcations of piecewise smooth flows: Perspectives, methodologies and open problems. Physica D 241 (2012) 1845–1860 Elsevier [acc. 2014.01.08]
16. Dercole, Fabio, et al. (2007) Bifurcation analysis of piecewise smooth ecological models. Theoretical Population Biology 72 (2007) 197–213 [acc. 2014.10.31]
17. di Bernardo, Mario et al. (2000) Unified derivation of normal form maps for grazing bifurcations in n-dimensional piecewise dynamical systems. [acc. 2015.01.16]
18. di Bernardo, Mario (2008) Discontinuity-induced Bifurcations of Equilibria in piecewise-smooth systems.CDS08 Monopoli [acc. 2014.12.25]
19. di Bernardo, Mario (2008) Discontinuity-induced Bifurcations of Limit Cycles in piecewise-smooth systems.CDS08 Monopoli [acc. 2014.01.09]
20. di Bernardo, Mario et al. (2008) Bifurcations in Nonsmooth Dynamical Systems. SIAM Reviews Vol. 50, No. 4, pp. 629–701. [acc. 2014.01.08]
21. ∃di Bernardo, Mario & S. J. Hogan (2010) Discontinuity-induced bifurcations of piecewise smooth dynamical systems. Phil. Trans. R. Soc. A (2010) 368, 4915–4935 [acc. 2014.12.25]
22. ∀di Bernardo, Mario (2011) ⇒Adaptive Control and Synchronization of PWS systems and networks. ISCDE, Batz-sur-Mer. [acc. 2014.10.31]
23. ∀Dieci, Luca & Luciano Lopez (2009) →Fundamental matrix solutions of piecewise smooth differential systems. {Draft} {ver también: Mathematics and Computers in Simulation 81 (2011) 932–953 ⇒ScienceDirect MATCOM paper, (contiene link a PDF)} [acc. 2014.01.08]
24. Doedel, Eusebius (2010) →Lecture Notes on Numerical Analysis of Nonlinear Equations. [acc. 2014.01.08]
25. Elmegårt, M. et al. (2013) Bifurcation analysis of a smoothed model of a forced impacting beam and comparison with an experiment. Arxiv [acc. 2014.01.08]
26. ℵτFernandez-García, Soledad (2012) Bifurcaciones de Órbitas Periódicas y Conjuntos Invariantes en Sistemas Dinámicos Lineales a Trozos. Tesis Doctoral, Univ. de Sevilla [acc. 2015.04.10]
27. ℵFerrer, J. et al. (2011) Unobservable Planar Bimodal Linear Systems: Miniversal Deformations, Controllability and Stabilization.
    Preprint [acc. 2017.04.22]
28. ℵFerrer, J. et al. (2013) Structural Stability of Planar Bimodal Linear Systems.
    11th International Conference of Numerical Analysis and Applied Mathematics 2013 AIP Conf. Proc. 1558, 2205-2208  [acc. 2017.04.22]
29. λGalias, Z. (2011) On rigorous integration of piece-wise linear systems. [acc. 2014.11.18]
30. ℵτGarcía-Medina, Elisabeth (2012) Conexiones Globales y Comportamientos Periódicos en Sistemas Dinámicos Lineales a Trozos. Tesis Doctoral. Univ. de Sevilla [acc. 2015.04.10]
31. ℵτGarcía-Medina, Elisabeth (2012) “Existence of global connections in three-dimensional piecewise linear systems“. [acc. 2015.03.23]
32. Gardini, Laura & Fabio Tramontana (2012) Structurally unstable regular dynamics in 1D piecewise smooth maps, and circle maps. Chaos, Solitons & Fractals 45 (2012) 1328–1342, Elsevier [acc. 2014.01.08]
33. τGranados, A et al. (2012) The Melnikov method and subharmonic orbits in a piecewise smooth system. Arxiv. [acc. 2014.09.15]
34. ∑τGranados, A et al. (2012) Local and global phenomena in piecewise-defined systems: from big bang bifurcations to splitting of heteroclinic manifolds. {Tesis} [acc. 2014.10.12]
35. Hogan, John (2012) ∑Piecewise smooth dynamical systems. Dynamical Systems: 100 years after Poincaré. Gijón, Spain [acc. 2014.01.10]
36. τ²Ivanov, Alexander P. (2012) Analysis of discountinuous bifurcations in nonsmooth dynamical systems. [acc. 2015.01.21]
37. Jacquemard, Alain et al. (2012) Stability conditions in piecewise smooth dynamical systems at a two-fold singularity. [acc. 2014.01.08]
38. Jeffrey, M. R & A. Colombo (2009) The Two-Fold Singularity of Discontinuous Vector Fields. SIAM J. Applied Dynamical Systems, Vol. 8, No. 2, pp. 624–640  [acc. 2014.01.09]
39. λKersing, Stefan & Martin Buss (2014) Adaptive identification of continuous-time switched linear and piecewise linear systems. [acc. 2014.11.18]
40. Kristiansen, K. U. & J. Hogan (2014) On the use of blow up to study regularizations of singularities of piecewise smooth dynamical systems en  .  [acc. 2014.11.30]
41. ℵKuznetson, Yu A. (2000) Lecture Notes of Numerical Bifurcation Analysis: [acc. 2014.12.13]
    1. [L1] ⇒Continuation problems. Numerical continuation of equilibria and limit cycles of ODEs.
    2. [L2] ⇒Equilibrium bifurcations of ODEs and their numerical analysis.
    3. [L3] ⇒Bifurcations of limit cycles of ODEs and their numerical analysis using BVPs.
    4. [L4] ⇒Numerical local bifurcation analysis of iterated maps.
    5. [L5] ℵ⇒Numerical continuation of connecting orbits of iterated maps and ODEs.
42. Kuznetsov, Yu A. et al. (2003) ♦One-parameter bifurcations in planar Filippov systems. International Journal of Bifurcation and Chaos, Vol. 13, No. 8 (2003) 2157-2188 [acc. 2014.01.08]
43. Leine, R. I. (2006) Bifurcations of equilibria in non-smooth continuous systems. Physica D 223 (2006) 121–137 [acc. 2014.01.09]
44. ℵτLlibre, Jaime; Ponce, Enrique; Torres, Francisco (2009) Dos bifurcaciones de ciclos límite en sistemas lineales a trozos en  . [acc. 2015.04.10]
45. ∏τMezic, I., Stephen Wiggins (1999) A method for visualization of invariant sets of dynamical systems based on the ergodic partition. Chaos 9:1 [acc. 2014.10.12]
46. τPonce, E. (2012) Piecewise Linear Systems: twenty years on. [acc. 2015.04.09]
47. τPonce, E. (2014) Bifurcations in piecewise linear systems: case studies. MAT70 An international conference on dynamical systems in honor of the 70th birthday of Marco Antonio Texeira. Notes of a Mini-course held at IMECC, Campinas, São Paulo. [acc, 2014.10.12]
48. Russo, Giovanni & Marco di Bernardo (2011) On Contraction of Piecewise Smooth Dynamical Systems. Preprints of the 18th IFAC World Congress Milano (Italy) August 28 – September 2, 2011 [acc. 2014.01.08]
49. Salinas-Varela, Adrián A. et al. (2009)Analysis of piecewise linear (PWL) feedback systems. [acc. 2014.11.18]
50. Sieber, J. & P. Kowalczyk (2010) Small-scale instabilities in dynamical systems with sliding. Arxiv. [acc. 2014.01.09]
51. Simpson, D. J. W. & R. Kuske (2012) Stochastically Perturbed Sliding Motion in Piecewise-Smooth Systems. Arxiv [acc. 2014.01.09]
52. ℵSimpson, D.J.W. & J. D. Meiss (2007) Andronov–Hopf bifurcations in planar, piecewise-smooth, continuous flows [acc. 2014.12.23]
53. ℵSimpson, D.J.W. & J. D. Meiss (2010) Aspects of  Bifurcation Theory for Piecewise-Smooth, Continuous Systems [acc. 2014.12.23]
54. ℵSvahn, Fredrik (2009) On the stability and control of piecewise-smooth dynamical systems with impacts and friction. Doctoral Thesis. [acc. 2014.01.08]
55. ℵSzalai, Róbert, et al. (2008) Arnold’s tongues arising from a grazing-sliding bifurcation of a piecewise-smooth system. [acc. 2014.12.25]
56. ∑τWarwick, D. J. (2010) Fundamentals of Piecewise-Smooth Continuous Systems. {Book chapter} [acc. 2014.10.12]
57. ℵXu, Bin et al. (2013) Homoclinic bifurcations in planar piecewise-linear systems. Discrete Dynamics in Nature and Society, Vol. 2013 [acc. 2014.12.23]
58. Yang, Xiao-Song et al. (c. 2008) Existence and bifurcation of homoclinic orbits in planar piecewise linear systems. Arxiv [acc. 2014.01.08]

People

• Mario di Bernardo
• Chris Budd
• Alessandro Colombo
• John Hogan
• Mike R. Jeffrey
• Yuri A. Kuznetsov [ℵ⇒NBA course page | ⇒course-at-Politecnico-di-Milano]
• Enrique Ponce [Google Académico]
• Feng Rong
• Robert J. Sacker [⇒Neimark-Sacker bifurcation (Scholarpedia)]
• Slovodan N. Simic

Places

1. Applied Nonlinear Mathematics. University of Bristol
2. Dance-Net. Coordinadores Lluís Alsedà (UAB) y Enrique Ponce (US)

Events

• [2009] International Workshop on Resonance Oscillations and Stability of Nonsmooth Systems. {June 16-25} [acc. 2014.01.08]
• [2011] Stabilization of dynamical systems and processes. {June 13-17} [acc. 2014.01.09]
• [2012] Dynamical Systems: 100 years after Poincaré [acc. 2014.01.08]

Tools

1. AUTO
2. [Comercial] Phaser: a universal simulator for dynamical systems
3. τDe Witte, V et al. (2012) Interactive initialization and continuation of homoclinic and heteroclinic orbits in Matlab. ACM Transactions of Mathematical Software 38 (3) art. 18 [acc. 2014.09.15]

Context

• ∃Abraham, Frederick D., Ralph H. Abraham, Christopher D. Shaw (1990) Basic principles of dynamical systems. Book chapter (3). [acc. 2015.01.14]
• §Acary, Vincent, et al. (2009) Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics, Springer Verlag, 35, pp.526, 2008, Lecture Notes in Applied and Computational Mechanics, 978-3-540-75391-9. [acc. 2015.02.25]
• §Arango, Ivan et al. (2011) Localización de bifurcaciones deslizantes en un oscilador rotativo de doble leva. Dyna, vol. 78, núm. 167, 2011, pp. 160-168, Universidad Nacional de Colombia [acc. 2015.02.25]
• Aubin, David (2004) Forms of Explanations in the Catastrophe Theory of René Thom: Topology, Morphogenesis, and Structuralism. Growing Explanations: Historical Perspective on the Sciences of Complexity, ed. M. N. Wise, Durham: Duke University Press, 2004, 95-130. [acc. 2014.01.09]
• Awrejcewics, Jan et al. (2013) Dynamical systems applications. {Libro}[acc. 2014.11.30]
• Benadero, Luis et al. (2014) Resonances in an area preserving continuous piecewise linear map. [acc. 2015.01.16]
• ℵBeyn Wolf-Jürgen, et al. (2000) Numerical continuation and computation of normal forms. [acc. 2014.12.13]
• ∀Broucke, Mireille R. et al. (2001) Structural stability of piecewise smooth systems. [acc. 2015.01.14]
• Calleja, R. C., et al. (2012) Boundary-value problem formulation for computing invariant manifolds and connecting orbits in the circular restricted three body problem. [acc. 2014.10.14]
• ∏Castelli, Roberto et al. (2014) Parameterization of invariant manifolds for periodic orbits (I): efficient numerics via the Floquet normal form. [acc. 2014.12.29]
• ℵCastillo, Zenaida (2004) A New Algorithm for Continuation and Bifurcation Analysis of Large Scale Free Surface Flows. PhD Dissertation, Rice Univ. [acc. 2014.12.23]
• ∏Cliffe, K. A. et al.) (2008) The numerical analysis of bifurcation problems with applications to fluid mechanics. Acta Numerica (2008) pp. 39-131. [acc. 2014.11.09]
• §Davis, K. E. et al. (2010) The use of invariant manifolds for transfers between unstable periodic orbits of different energies. Celest. Mech. Astr. 107: 471-485 [acc. 2014.10.14]
• ∏Day, S. et al. (2004) A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems. SIAM J. APPLIED DYNAMICAL SYSTEMS Vol. 3, No. 2, pp. 117–160. [acc. 2014.12.02]
• ℵ²Dijkstra, H. A. et al. (2014) Numerical Bifurcation Methods and their Application to Fluid Dynamics: Analysis beyond Simulation. [acc. 2014.12.23]
• ∏Dellnitz, M. et al. (2010) The numerical detection of connecting orbits. [acc. 2014.10.12]
• ∏Dellnitz, M. et al. (2010) The algorithms behind GAIO: Set oriented numerical methods for dynamical systems.  In Bernold Fiedler, editor, Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, pages 145-174, Springer 2001 [acc. 2014.11.30]
• τElhadj, Z. & Sprott, J. C. (2012) Non-existence of the Shilnikov chaos in continuous-time systems. Appl. Math. Mech -English Ed. 33(3)1-4 [acc. 2014.11.17]
• §Escobar Callejas, Carlos (2013) Contribución al estudio de los sistemas no suaves (bifurcación Zip). Tésis, Doctorado en Ingeniería. Univ. Nacional de Colombia. [acc. 2015.02.25]
• Feng. B., R. Hu (2003) A survey of homoclinic and heteroclinic orbits. [acc. 2014.10.14]
• ∑Fring, Andreas (2009) Dynamical systems. Lecture Notes. City Univ. of London [acc. 2014.12.22]
• ∇Fuhrmann, Anton et al. (1997) Collaborative augmented reality: exploring dynamical systems. [acc. 2015.01.14]
• ∇Gasull, A. & H. Giacomini, J. Torregrosa. (2010) Some results on homoclinic and heteroclinic connections in planar systems.
  Nonlinearity, 23, 2977–3001, 2010. [acc. 2014.12.25]
• Glasner, Eli, & Benjamin Weiss (1998) Sensitive dependence on initial conditions. [acc. 2014.12.30]
• ∏Guckenheimer, J., A. Vladimirsky (2002+) A fast method for approximating invariants manifolds. [acc. 2014.10.14]
• ∇Gutschke, Martin et al. (2014) Differential geometric methods for examining the dynamics of slow-fast vector fields. Springer. [acc. 2015.01.14]
• φHasselblatt, B.; Y. Pesin (2005) Partially hyperbolic dynamical systems. [acc. 2014.11.30]
• Homburg, A. J., B. Sandstede (2010) Homoclinic and heteroclinic bifurcations in vector fields. [acc. 2014.10.14]
• φHurder, Steven (2014) Lectures on foliation dynamics: Barcelona 2014. [acc. 2014.11.30]
• ∞Jiang, Qibao; Llibre, Jaume (2005) Qualitative Classification of Singular Points. Qualitative Theory of Dynamical Systems 6, 87-167 [acc. 2014.02.23]
• ⇒Khang, Byungik (2009) Redefining Chaos: Devaney-chaos for Piecewise Continuous Dynamical Systems. International Journal of Mathematical Methods in Applied Sciences, Vol. 3, Issue 4 [acc. 2014.01.09]
• Khang, Byungik, et al. (2014) Sliding Singularities of Bounded Invertible Planar Piecewise Isometric Dynamics. Int’l J. of Math. Models and Methods in Applied Sciences, Vol. 8. [acc. 2014.11.27]
• ∀Knill, Oliver (1993) Spectral, ergodic and cohomological problems in dynamical systems. PhD Dissertation. [acc. 2014.12.30]
• §Koon, W. S., et al. (2010) Heteroclinic connections between periodic orbits and resonant transitions in celestial mechanics. [acc. 2014.10.14]
• Kuehn, Christian (2011) A Mathematical Framework for Critical Transitions: Bifurcations, Fast-Slow Systems and Stochastic Dynamics [acc. 2014.11.18]
• ∀Kumar, Vijay & Peng Song (2003) Geometric theory of dynamical systems. Course notes. Univ. of Pennsylvania. [acc. 2015.01.14]
• ∏Lessard, J-P., et al. (2014) Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields. [acc. 2014.10.14]
• ∏Levnajiv, Z., Igor Mezic. (2010) Ergodic theory and visualization I:  Mesochronic Plots for Visualization of Ergodic Partition and Invariant Sets. Arxiv. [ac. 2014.10.12]
• ∏Levnajiv, Z., Igor Mezic. (2014) Ergodic theory and visualization II: Harmonic meshochronic plots visualize (quasi)periodic sets. Arxiv. [acc. 2014.10.12]
• ∞Liu, Xianping (1999) Symbolic tools for the analysis of nonlinear dynamical systems. [acc. 2014.02.23]
• ∏Liu, Y. et al. (1994) The numerical computation of connecting orbits in dynamical systems: a rational spectra approach. J. of Computational Physics 111:2 [acc. 2014.10.12]
• ℵLu, James, et al. (2006) Inverse bifurcation analysis: application to simple gene systems. Algorithms for Molecular Biology 2006, 1:11 [acc. 2014.12.23]
• βMarsden, Jerrold E. (2009) Basic Theory of Dynamical Systems.{⇒Lecture Notes CDS140-2009}[acc. 2014.12.24]
• ∑Makarenkov, Oleg & Jeroen S. W. Lamb (2011) Dynamics and bifurcations of nonsmooth systems: a survey. [acc. 2015.01.17]
• ℵ²Meijer, Hil et al. (c. 2006) ⇒Numerical bifurcation analysis. [acc. 2014.12.13]
• ∏Mireles-James, J. D.& Héctor Lomelí (2010) Computation of Heteroclinic Arcs with application to the Volume Preserving Hénon Family. SIAM J. Applied Dynamical Systems, Vol. 9, No. 3 pp. 919-953 [acc. 2014.12.29]
• ℵMorrison, Tina Marie (2006)  Three problems in nonlinear dynamics with 2:1 parametric excitation. PhD Dissertation. [acc. 2014.12.21]
• Nersesov, Sergey C. & Wassim. M. Haddad (2006) On the stability and control of nonlinear dynamical systems via vector Lyapunov functions. [acc. 2015.01.14]
• ℵOsorio, G (2007 Complex behavior in impacting systems. PhD Dissertation. Univ. of Naples Federico II. [acc. 2014.12.19]
• φPrabhakar G. Vaidya; Swarnali Majumder (2011) Modifying some foliated dynamical systems to guide their trajectories to specified sub-manifolds.
• ∞Ravnås, Eirik (2008) Continuation and Bifurcation software in MATLAB. Thesis (Master of Science in Physics and Engineering) NTNU. [acc. 2014.03.01]
• §Ruiz Arenas, Ana Catalina (2013) Análisis de sistemas no suaves utilizando el método SPT. Tésis Magister de Ing., Univ. EAFIT, Medellín, Colombia [acc. 2015.02.25]
• ∏²Reinhardt, Christian P. (2013) Validated computation of connecting orbits in ordinary differential equations. PhD Dissertation [acc. 2014.12.29]
• ∏Sandri, Marko (1996) Numerical calculation of Lyapunov exponents. Mathematica Journal vol. 6, issue 3 [acc. 2014.12.22]
• ∞Seydel, R. (2001) Assessing voltage collapse. LAAR 31,3 pp. 171-176 [acc. 2014.03.01]
• ℵShilnikov, Leonid (1997) Mathematical problems in nonlinear dynamics: a tutorial [acc. 2014.12.21]
• Smale, S. (1967) Differentiable dynamical systems. Bull. A.M.S. v. 73, 747-817. [acc. 2014.12.22]
• ∏Spence, Alastair & Ivan C. Graham (2002) Numerical methods for bifurcation problems. [acc. 2014.11.09]
• ∏Stuart, A. M. (1994) Numerical analysis of dynamical systems. Acta Numerica [acc. 2014.10.12]
• ∂Teixeira, Marco Antonio (2008)Perturbation theory for non-smooth systems. [acc. 2015.01.19]
• Tsatsanis, Peter (2012) On René Thom’s Significance for Mathematics and Philosophy. Scripta Philosophiæ Naturalis 2: 213-229. [acc. 2014.12.20]
• Zou, Yongkui et al. (2003) Generalized Hopf bifurcation for non-smooth planar dynamical systems. [acc. 2015.01.16]
• ∏Zhou, T. et al. (2005) An algorithm for computing heteroclinic orbits and its application to chaos synthesis in the generalized Lorenz system. [acc. 2014.10.14]

Normal Forms (selected)

• Haro, A. (c. 2009) Automatic differentiation methods in computational dynamical systems: invariant manifolds and normal forms of vector fields at fixed points. [acc. 2014.12.24]
• Kang, Wei & Arthur J. Krener (2005) On the convergence on normal forms in analytic control systems. [acc. 2014.12.24]
• Malonza, D. M. (2003) Normal forms for coupled Takens-Bogdanov systems. PhD Dissertation. {Incluye: Groebner Basis} [acc. 2014.12.24]
• Yu, P & A. Y. T. Leung (2002) A perturbation method for computing the simplest normal forms of dynamical systems. [acc. 2014.12.24]

Moduli spaces connection

• Bader, Markus (2005) Moduli spaces of linear dynamical systems. Diploma thesis. Univ of Zürich. [acc. 2014.12.20]
• Bader, Markus (2007) Quivers, invariant geometric theory, and moduli of linear dynamical systems. [acc. 2012.21]
• Popescu-Pampu, Patrick (2009) Iterating the Hessian: a dynamical system on the moduli space of elliptic curves and dessins d’enfants [acc. 2014.12.20]

Libros selectos (de libre acceso)

• Cvitanovic, Pedrag et al. (2014) Chaos, classical and quantum. {Book site and multiple resources} [acc. 2015.01.14]
• Helmke, Uwe & John B. Moore (1996)Optimization and Dynamical Systems. [acc. 2015.01.05]
• Hunter, John K (2011) Introduction to dynamical systems [acc. 2015.01.15]
• Milgram, R. James (2000) Algebraic and geometric surgery. [acc. 2015.01.14]
• Milnor, John W. (1965) Topology from the differentiable viewpoint. [acc. 2015.01.14]
• Scheinermann, Edward R. (1996) Invitation to dynamical systems. [acc. 2015.01.14]
• Werner, Bodo (2010) Dynamical system theory and bifurcation analysis for microscopic traffic models. [acc. 2015.01.14]