Pedro Pablo Cárdenas Alzate, Ph.D.

Artículos

• An Approach to the Stability of Systems of Differential Equations of Fractional Order with Time Delay (2023). Hunan Daxue Xuebao Journal of Hunan University Natural Sciences. https://doi.org/10.55463/issn.1674-2974.50.6.1.
• WKB Method for Some Nonlinear Equations: A Special Case (2023). Journal of Southwest Jiaotong University. https://doi.org/10.35741/issn.0258-2724.58.4.66.
• On the Stability of Systems of Nonlinear Ordinary Differential Equations of Fractional Order (2023). Hunan Daxue Xuebao Journal of Hunan University Natural Sciences. https://doi.org/10.55463/issn.1674-2974.50.7.7.
• Topology of Metric Spaces: A Look Through GeoGebra (2023). Journal of Southwest Jiaotong University. https://doi.org/10.35741/issn.0258-2724.58.3.12.
• The General Kovalevskaya Theorem for a Cauchy Problem (2023). Journal of Southwest Jiaotong University. https://doi.org/10.35741/issn.0258-2724.58.3.61.
• On the Noncharacteristicity of a Cauchy Surface and Applications (2023). Journal of Southwest Jiaotong University. https://doi.org/10.35741/issn.0258-2724.58.3.62.
• On the Dynamics of the Hodgkin-Huxley Neural Model: A Stable Analysis Using Hurwitz Polynomials (2022). Journal of Southwest Jiaotong University. https://doi.org/10.35741/issn.0258-2724.57.6.74.
• An Approach to the Stability of the Gause-Lotka-Volterra Competition Ecological Model Using the Routh-Hurwitz Criterion (2022). Journal of Southwest Jiaotong University. https://doi.org/10.35741/issn.0258-2724.57.5.21.
• A Note on the Stability of a Modified Lotka-Volterra Model using Hurwitz Polynomials (2021). WSEAS Transactions on Mathematics. https://doi.org/10.37394/23206.2021.20.44.
• Long-Term Transmission System Expansion Planning Using Valid Inequalities (2020). International Journal of Engineering Research and Technology. https://doi.org/10.37624/IJERT/13.10.2020.2768-2777.
• A note on the dynamics of an HIV infection model using Padé approximants (2020). WSEAS Transactions on Mathematics. https://doi.org/10.37394/23206.2020.19.47.
• Qualitative Behavior of AIDS in a Homosexual Population (2019). Modern Applied Science. https://doi.org/10.5539/mas.v14n1p1.
• A Special Case of a Mathematical Model for Ecological Community: A Predator-Prey System (2019). Modern Applied Science. https://doi.org/10.5539/mas.v13n12p75.
• Estimation of multiple parameters using algorithms expectation maximization (2019). Journal of Physics Conference Series. https://doi.org/10.1088/1742-6596/1386/1/012108.
• Bifurcation analysis of the threshold of a solid-state laser (2019). Journal of Physics Conference Series. https://doi.org/10.1088/1742-6596/1386/1/012109.
• Bifurcation analysis field potential in isotropic materials defined by semi-spherical layers using finite elements (2019). Journal of Physics Conference Series. https://doi.org/10.1088/1742-6596/1386/1/012110.
• A note on the exponents of Lyapunov for a system with unknown dynamic (2018). Indian Journal of Science and Technology. https://doi.org/10.17485/ijst/2018/v11i21/123003.
• On numerical simulation of the Black-Scholes model using the non-linear Adomian method (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.85245.
• A Survey of Long Term Transmission Expansion Planning Using Cycles (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.810562.
• Inequalities from mortality related to Infectious according to socioeconomic indicators in Risaralda Colombia (2018). International Journal of Chemtech Research. https://doi.org/10.20902/IJCTR.2018.111131.
• Stability Analysis Through the Direct Method of Lyapunov in the Oscillation of a Synchronous Machine (2018). Modern Applied Science. https://doi.org/10.5539/mas.v12n7p166.
• A Note on the Implementation of the Finite Element to Solve Differential Equations (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.84149.
• Solution of the Maxwell's equations of the electromagnetic field in two dimensions by means of the finite difference method in the time domain (FDTD) (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.83114.
• Perspectives in the development of topological notions using soap bubbles (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.89521.
• Optimum Control Using Finite Time Quadratic Linear Regulator (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.89516.
• A Survey of Azimuthal angle and eigenvalues of the Laplace equation (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.89510.
• Qualitative Analysis of Bifurcations and Its Application in the Diode-Tunnel Circuit (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.89518.
• A note on the homogeneous Neumann boundary condition (2018). Applied Mathematical Sciences. https://doi.org/10.12988/ams.2018.89130.
• A survey of Joukowski airfoil and Von Karman vortex street (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.810540.
• Application of finite elements in engineering as a solution to PDEs present in electromagnetism (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.8116.
• Planning the Expansion of Long-Term Transmission Networks Using a Cycle-Based Formulation (2018). Modern Applied Science. https://doi.org/10.5539/mas.v13n1p237.
• Application of Bézier Curves to Obtain a Band of Certainty with Noise Contaminated Data (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.810538.
• Some Biomathematical Models Applying the Adomian Method (2018). International Journal of Chemtech Research. https://doi.org/10.20902/IJCTR.2018.110729.
• Chaos control for the Lorenz system (2018). Advanced Studies in Theoretical Physics. https://doi.org/10.12988/astp.2018.8413.
• Magnetic Field of Two Laminar Conductors Around a Ferromagnetic Material (2018). Applied Mathematical Sciences. https://doi.org/10.12988/ams.2018.8459.
• A Note on the Variational Formulation of PDEs and Solution by Finite Elements (2018). Advanced Studies in Theoretical Physics. https://doi.org/10.12988/astp.2018.8412.
• Prediction of a Time Series Using Regression by Vector Support Machines (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.89517.
• Parameterization of BH curves by means of PSO (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.85235.
• Lyapunov exponents analysis and phase space reconstruction to Chua's circuit (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.84159.
• Analysis of economic and social indicators through the Principal Components Analysis (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.8120.
• Linear search optimization through the Armijo Rule Method (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.8121.
• Minimum Solution of a Function Using Particle Cluster Optimization (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.8115.
• A Note on the Construction and Numerical Solution of the Heat Equation (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.85234.
• A Note About Properties of Wave Maps (2018). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2018.8113.
• An Iterative Method for Solving Cubic Nonlinear Schrodinger Equation (2017). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2017.710141.
• Solution of the Problem of Cost Optimization by Using Metaheuristic Technique and Method of Optimization with Restrictions (2017). Applied Mathematical Sciences. https://doi.org/10.12988/ams.2017.710313.
• Comparison of the Conjugate Gradient Methods of Liu-Storey and Dai-Yuan (2017). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2017.711189.
• Probabilistic Load Flow with Load Estimation Using Time Series Techniques and Neural Networks (2017). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2017.710132.
• An Iterative Method for Solving Delay Differential Equations Applied to Biological Models (2017). Applied Mathematical Sciences. https://doi.org/10.12988/ams.2017.7399.
• Critical Points at Infinity for the Chen-Wang System (2017). Advanced Studies in Theoretical Physics. https://doi.org/10.12988/astp.2017.71257.
• On the Coercive Functions and Minimizers (2017). Advanced Studies in Theoretical Physics. https://doi.org/10.12988/astp.2017.71154.
• Solution of Nonlinear Equation Representing a Generalization of the Black-Scholes Model Using ADM (2017). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2017.7760.
• Numerical Solution of the Laplace Equation: Electrostatic Potential (2017). Advanced Studies in Theoretical Physics. https://doi.org/10.12988/astp.2017.71155.
• An Iterative Method for Solving Two Special Cases of Nonlinear PDEs (2017). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2017.7651.
• Classification of levels and monthly flows for hydraulic Affluent through Kmeans (2017). Contemporary Engineering Sciences. https://doi.org/10.12988/ces.2017.711188.
• On a periodic problem using variational calculus (2017). Advanced Studies in Theoretical Physics. https://doi.org/10.12988/astp.2017.71156.
• The Zhou's Method for Solving the Euler Equidimensional Equation (2016). Applied Mathematics. https://doi.org/10.4236/am.2016.717172.
• A note on Lyapunov constants of polynomial systems (2016). Applied Mathematical Sciences. https://doi.org/10.12988/ams.2016.69249.
• A Special Case on the Stability and Accuracy for the 1D Heat Equation Using 3-Level and 0-Schemes (2015). Applied Mathematics. https://doi.org/10.4236/am.2015.63045.
• A Special Case of Variational Formulation for Two-Point Boundary Value Problem in L2(Ω) (2015). Applied Mathematics. https://doi.org/10.4236/am.2015.64065.
• A Special Case of Fourier Spectral Solution for Constant and Variable Coefficient Poisson Equations in 1D and 2D (2015). World Applied Sciences Journal. https://www.idosi.org/wasj/wasj33(4)15/16.pdf.
• A two-point boundary value problem by using a mixed finite element method (2015). Applied Mathematics. https://doi.org/10.4236/am.2015.612177.
• Method for Solving Two Special Cases of Lane-Emden Type Equation (2014). American Journal of Computational Mathematics. https://doi.org/10.4236/ajcm.2014.43021.
• A survey of the implementation of numerical schemes for the heat equation using forward Euler in Time (2014). Journal of Applied Mathematics. https://doi.org/10.4236/jamp.2014.213135.
• A Survey of the Implementation of Numerical Schemes for Linear Advection Equation (2014). Advances In Pure Mathematics. https://doi.org/10.4236/apm.2014.48052.
• The Zhou's Method for Solving the White-Dwarfs Equation (2013). Applied Mathematics. https://doi.org/10.4236/am.2013.410A3005.
• Existence of solutions for some nonlinear beam equations (2005). Portugaliae Mathematica. https://emis.de/ft/52845.
• Tiempo de retorno para ecuaciones tipo Liénard (2011). Scientia Et Technica. Autores: Ernesto Bonilla, Pedro Pablo Cárdenas Álzate, Alexander Gutiérrez Gutiérrez. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/1293.
• Un enfoque de la solución de problemas en la enseñanza de la programación funcional (2011). Scientia Et Technica. Autores: Fernando Mesa, Pedro Pablo Cárdenas Alzate, Carlos Alberto Rodríguez Varela. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/501.
• Aplicación del teorema de Leray – Schauder a un problema de borde (2012). Scientia Et Technica. Autores: Pedro Pablo Cárdenas Alzate, Luz María Rojas Duque, José Gerardo Cardona Toro. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/1675.
• Una nota sobre los problemas de punto de silla en la mecánica de sólidos (2012). Scientia Et Technica. Autores: Fernando Mesa, Pedro Pablo Cárdenas, Alexander Gutiérrez G. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/207.
• Soluciones periódicas de la ecuación del péndulo forzado con fricción por métodos topológicos (2010). Scientia Et Technica. Autores: Pedro Pablo Cárdenas A., Tiberio Trejos Aricapa, Fernando Mesa. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/1829.
• Algunos modelos matemáticos en finanzas (2010). Scientia Et Technica. Autores: Pedro Pablo Cárdenas A., Fernando Mesa, Jhon Jairo León Salazar. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/349.
• Aplicación del teorema de LERAY - SCHAUDER a un problema de contorno (2010). Scientia Et Technica. Autores: Pedro Pablo Cárdenas A., Jhon Jairo León Salazar, Fernando Mesa. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/345.
• Una aplicación del grado de coincidencia a un problema periódico (2010). Scientia Et Technica. Autores: Edgar Alirio Valencia Angulo, Pedro Pablo Cárdenas A., Alexander Gutiérrez G. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/271.
• Algunos resultados de operadores lineales continuos (2009). Scientia Et Technica. Autores: Edgar Alirio Valencia, Fernando Mesa, Pedro Pablo Cárdenas Alzate. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/2325.
• Algunos resultados sobre martingalas discretas finitas (2009). Scientia Et Technica. Autores: Edgar Alirio Valencia Angulo, Fernando Mesa, Pedro Pablo Cárdenas Alzate. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/2693.
• Existencia de solución de un problema de contorno aplicando el método de super y sub-soluciones (2009). Scientia Et Technica. Autores: Pedro Pablo Cárdenas A., Fernando Mesa, Jairo Alberto Mendoza Vargas. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/3101.
• Una nota sobre el teorema de punto fijo de Banach en la solución de sistemas de ecuaciones lineales algebraicas (2009). Scientia Et Technica. Autores: Pedro Pablo Cárdenas A., Alexander Gutiérrez G. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/3103.
• Modelación matemática en la valuación de opciones sobre acciones (2009). Scientia Et Technica. Autores: Jhon Jairo León S., Fernando Mesa, Pedro Pablo Cárdenas A. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/2939.
• Resolución de un problema de contorno por métodos topológicos (2008). Scientia Et Technica. Autores: Pedro Pablo Cárdenas A., Carlos Alberto Rodríguez Varela, Docier Marino Ceballos. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/3279.
• Modificación del juego del hex y su aplicación en la prueba del teorema del punto fijo de Brouwer (2008). Scientia Et Technica. Autores: Pedro Pablo Cárdenas A., Fernando Mesa, Francisco J. Cardona G. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/3799.
• Solución numérica de un problema diferencial definido sobre un dominio heterogéneo 1D y 2D (2008). Scientia Et Technica. Autores: Alex R. Sepúlveda C., Pedro Pablo Cárdenas A. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/3801.
• Aplicación del teorema del punto fijo de Banach en la resolución de la ecuación del péndulo forzado (2007). Scientia Et Technica. Autores: Pedro Pablo Cárdenas A., Maryluz Largo A., Alexander Sepúlveda C. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/4179.
• LA ENSEÑANZA DE LAS MATEMÁTICAS: UN RETO (2007). Scientia Et Technica. Autores: Pedro Pablo Cárdenas A., Fernando Mesa, Robin Mario Escobar. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/5471.
• El papel de la historia de la matemática en el proceso formativo del estudiante (2006). Scientia Et Technica. Autores: Pedro Pablo Cárdenas A., Fernando Mesa, Oscar Fernández S. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/6341.
• René Descartes, un nuevo método y una nueva ciencia (2006). Scientia Et Technica. Autores: Oscar Fernández S., Pedro Pablo Cárdenas A., Fernando Mesa. https://revistas.utp.edu.co/index.php/revistaciencia/article/view/6331.