Abstract algebra | Linear algebra | Matrix theory
In mathematics, Bendixson's inequality is a quantitative result in the field of matrices derived by Ivar Bendixson in 1902. The inequality puts limits on the imaginary parts of Characteristic roots (eigenvalues) of real matrices. A special case of this inequality leads to the result that characteristic roots of a real symmetric matrix are always real. Mathematically, the inequality is stated as: Let be a real matrix and . If is any characteristic root of , then If is symmetric then and consequently the inequality implies that must be real. (Wikipedia).
Mathematical Biology. 23: Poincare-Bendixson
UCI Math 113B: Intro to Mathematical Modeling in Biology (Fall 2014) Lec 23. Intro to Mathematical Modeling in Biology: Poincare-Bendixson View the complete course: http://ocw.uci.edu/courses/math_113b_intro_to_mathematical_modeling_in_biology.html Instructor: German A. Enciso, Ph.D. Tex
From playlist Math 113B: Mathematical Biology
B. Deroin - The Jouanolou foliation
I will discuss dynamical properties of the Jouanolou foliation of the complex projective plane in degree two. Joint work with Aurélien Alvarez.
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Lec 32 | MIT 18.03 Differential Equations, Spring 2006
Limit Cycles: Existence and Non-existence Criteria. View the complete course: http://ocw.mit.edu/18-03S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.03SC Differential Equations, Fall 2011
Mod-06 Lec-36 Periodic Orbits and Poincare Bendixon Theory
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Mathematical Biology. 26: Final Review, Part 1
UCI Math 113B: Intro to Mathematical Modeling in Biology (Fall 2014) Lec 26. Intro to Mathematical Modeling in Biology: Final Review Part 1 View the complete course: http://ocw.uci.edu/courses/math_113b_intro_to_mathematical_modeling_in_biology.html Instructor: German A. Enciso, Ph.D. Tex
From playlist Math 113B: Mathematical Biology
Bertrand Deroin: Dynamics of Jouanolou foliation
Recorded during the research school "Geometry and Dynamics of Foliations " the May 25, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma
From playlist Virtual Conference
Solving and Graphing an inequality when the solution point is a decimal
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
MAE5790-9 Testing for closed orbits
Techniques for ruling out closed orbits: index theory and Dulac's criterion. Techniques for proving closed orbits exist: Poincaré-Bendixson theorem. Trapping regions. Example in polar coordinates. Simple model of oscillatory glycolysis in metabolism. Nullclines. Reading: Strogatz, "Nonli
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
Solving and graphing an inequality
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Learn how to solve and graph the solution to a multi step inequality
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving and graphing a multi-step inequality
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving an inequality with a parenthesis on both sides
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Mod-01 Lec-01 General Introduction
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Learn how to solve a multi step inequality and graph the solution
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Solving and graphing an inequality with infinite many solutions
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
Graphing an inequality with variables and parenthesis on both sides
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis
MAE5790-10 van der Pol oscillator
Origins of the van der Pol oscillator in radio engineering. Strongly nonlinear limit. Liénard transformation. Relaxation oscillations. Weakly nonlinear limit. Energy method for estimating the amplitude of the limit cycle. Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 7.4--7.
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
Solving a multi-step inequality and then graphing
👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l
From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis