DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS
Resumen
En este manuscrito presentamos algunos conceptos importantes concernientes a la teoría de los sistemas dinámicos. Se presta especial atención al estudio de ecuaciones diferenciales desde el punto de vista de sistemas dinámicos. Los conceptos presentados son ilustrados mediante ejemplos.
Citas
[1]. AMANN, H. (1995). "Gewöhnliche Differentialgleichungen", second ed. Walter de Gruyter, Berlin.
[2]. ARROWSMITH, D., AND PLACE, C. M. (1990). "An Introduction to Dynamical Systems". Cambridge University Press.
[3]. ARROWSMITH, D., AND PLACE, C. M. "Dynamical Systems: Differential Equations, Maps, and Chaotic Behaviour". Chapman & Hall, 1992.
[4]. BEYN, W.-J. (1991). "Dynamische Systeme. Vorlesungsskriptum", Bielefeld University.
[5]. BEYN, W.-J. (2009). "Numerik dynamischer Systeme". Vorlesungsskriptum, Bielefeld University.
[6]. GUCKENHEIMER, J., AND HOLMES, P. (1993). "Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields", vol. 42 of Applied Mathematical Sciences, Springer-Verlag, New York. Fourth printing.
[7]. PÁEZ CHÁVEZ, J. (2010). "A Short Introduction to Dynamical Systems". Matemática: Una Publicación del ICM - ESPOL 8, 1, 28–33.
[8]. WIGGINS, S. (2003). "Introduction to Applied Nonlinear Dynamical Systems and Chaos", second ed., vol. 2 of Texts in Applied Mathematics. Springer-Verlag, New York.
[2]. ARROWSMITH, D., AND PLACE, C. M. (1990). "An Introduction to Dynamical Systems". Cambridge University Press.
[3]. ARROWSMITH, D., AND PLACE, C. M. "Dynamical Systems: Differential Equations, Maps, and Chaotic Behaviour". Chapman & Hall, 1992.
[4]. BEYN, W.-J. (1991). "Dynamische Systeme. Vorlesungsskriptum", Bielefeld University.
[5]. BEYN, W.-J. (2009). "Numerik dynamischer Systeme". Vorlesungsskriptum, Bielefeld University.
[6]. GUCKENHEIMER, J., AND HOLMES, P. (1993). "Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields", vol. 42 of Applied Mathematical Sciences, Springer-Verlag, New York. Fourth printing.
[7]. PÁEZ CHÁVEZ, J. (2010). "A Short Introduction to Dynamical Systems". Matemática: Una Publicación del ICM - ESPOL 8, 1, 28–33.
[8]. WIGGINS, S. (2003). "Introduction to Applied Nonlinear Dynamical Systems and Chaos", second ed., vol. 2 of Texts in Applied Mathematics. Springer-Verlag, New York.
