In mathematics, in the study of iterated functions and dynamical systems, a periodic point of a function is a point which the system returns to after a certain number of function iterations or a certain amount of time. (Wikipedia).
Fixed and Periodic Points | Nathan Dalaklis
Fixed Points and Periodic points are two mathematical objects that come up all over the place in Dynamical systems, Differential equations, and surprisingly in Topology as well. In these videos, I introduce the concepts of fixed points and periodic points and gradually build to a proof of
From playlist The New CHALKboard
C72 What to do about the singular point
Now that we can calculate a solution at analytical points, what can we do about singular points. It turns out, not all singular points are created equal. The regular and irregular singular point.
From playlist Differential Equations
From playlist l. Differential Calculus
A Level Chemistry Revision "Periodic Trends in Atomic Radius"
In this video, we look at periodic trends in atomic radius. First we explore what is meant by atomic radius and how this is calculated. We then look at how the atomic radius changes across a period and down a group.
From playlist A Level Chemistry "The Periodic Table"
85 Years of Nielsen Theory: Periodic Points
Part 2 of a 3 part series of expository talks on Nielsen theory I gave at the conference on Nielsen Theory and Related Topics in Daejeon Korea, June 25, 2013. Part 1- Fixed Points: http://youtu.be/1Ls8mTkRtX0 Part 3- Coincidence Points: http://youtu.be/Wu2Cr3v_I44 Chris Staecker's intern
From playlist Research & conference talks
Chemistry - Periodic Variations (1 of 23) Atomic Radius
Visit http://ilectureonline.com for more math and science lectures! In this video I will show the relationship of the radius of the atom and its location on the periodic table.
From playlist CHEMISTRY 12 PERIODIC VARIATION
A Periodic Table Puzzler - Periodic Table of Videos
Can you find the mistake in this periodic table? More links in description below ↓↓↓ SPOILER: A blog about the answer can be found at http://periodicvideos.blogspot.com/2010/09/periodic-table-mistake.html A still photo of the table can be found at http://www.flickr.com/photos/periodicvi
From playlist Turin Trip - Periodic Videos
In this video, I prove a very neat result about fixed points and give some cool applications. This is a must-see for calculus lovers, enjoy! Old Fixed Point Video: https://youtu.be/zEe5J3X6ISE Banach Fixed Point Theorem: https://youtu.be/9jL8iHw0ans Continuity Playlist: https://www.youtu
From playlist Calculus
Graphing Transformations with Sine and Cosine (Precalculus - Trigonometry 12)
How to Graph Sine and Cosine (sin and cos) along with all their transformations as easily as possible (Phase shifting, or horizontal translation, is a separate video). Support: https://www.patreon.com/ProfessorLeonard
From playlist Precalculus - College Algebra/Trigonometry
MAE5790-19 One dimensional maps
Logistic map: a simple mathematical model with very complicated dynamics. Influential article by Robert May. Numerical results: Fixed points. Cycles of period 2, 4, 8, 16, .... The period-doubling route to chaos. An icon of chaos: The orbit diagram. Chaos intermingled with periodic windows
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
Number Theory and Dynamics, by Joseph Silverman
This talk by Joseph Silverman (Brown University) was part of UConn's Number Theory Day 2018.
From playlist Number Theory Day
Graphing Transformations with Tangent and Cotangent (Precalculus - Trigonometry 14)
How to graph the Tangent function and the Cotangent function with transformations. Focus is on Vertical translation, amplitude, reflection, and manipulating the period. Support: https://www.patreon.com/ProfessorLeonard
From playlist Precalculus - College Algebra/Trigonometry
MAE5790-20 Universal aspects of period doubling
Exploring the logistic map and period doubling with online applets. Interactive cobweb diagrams. Interactive orbit diagram. Zooming in to see the periodic windows. Self-similar fractal structure: each periodic window contains miniature copies of the whole orbit diagram. Smooth curves runni
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
Level 1 Chartered Financial Analyst (CFA ®): Holding period, money-, and time-weighted returns
Session 2, Reading 7 (Part 2): The holding period return (HPR) is given by [P(t) + D - P(0)]/P(0). The HPR does not account for the time interval, so importantly it is annualized; for example, a 15.50% HPR over 5 years is much less impressive than over one month. The time-weighted return (
From playlist Level 1 Chartered Financial Analyst (CFA ®) Volume 1
P. Apisa - Marked points in genus two and beyond
In the principal stratum in genus two, McMullen observed that something odd happens - there is only one nonarithmetic Teichmuller curve - the one generated by the decagon. This strange phenomenon begets another - a primitive translation surface in genus two admits a periodic point that is
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Dynamics of piecewise smooth maps (Lecture - 02) by Paul Glendinning
PROGRAM DYNAMICS OF COMPLEX SYSTEMS 2018 ORGANIZERS Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE: 16 June 2018 to 30 June 2018 VENUE: Ramanujan hall for Summer School held from 16 - 25 June, 2018; Madhava hall for W
From playlist Dynamics of Complex systems 2018
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From playlist Chemistry
Simple Harmonic Motion (1 of 16): Period of a Pendulum
This video uses one of the simulations from PhET Interactive Simulation to investigate how changing the mass, length, displacement and gravity of the pendulum affects its period. A pendulum is a mass suspended from a string that is attached to pivot point. There is no friction so that the
From playlist Simple Harmonic Motion, Waves and Vibrations
Lecture 9.1 Periodic functions
Periodic functions are functions that repeat themselves at regular intervals. In this lecture, we discuss the properties of periodic functions.
From playlist MATH2018 Engineering Mathematics 2D