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Fixed points and stability of a nonlinear system
 
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Find the fixed points and determines the linear stability of a system of two first-order nonlinear differential equations. Free books: http://bookboon.com/en/differential-equations-with-youtube-examples-ebook http://www.math.ust.hk/~machas/differential-equations.pdf
Views: 56649 Jeffrey Chasnov
1]Nonlinear Equations with Solution - Numerical Methods – Engineering Mathematics
 
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This video lecture you to concept of Nonlinear Equations with Solution in Numerical Methods. Understand the concept of Nonlinear Equations in details with help of examples. For any query and feedback, please write at: [email protected] Download the PDF to get access of study material @ http://bit.ly/GNM26SolutionNonLinearEquations For latest updates subscribe our channel "YSR EduTech" or join me on Facebook page "YSR EduTech" numerical methods
Views: 22124 YSR EduTech
Fixed points and stability: two dimensions
 
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Shows how to determine the fixed points and their linear stability of two-dimensional nonlinear differential equation. Free books: http://bookboon.com/en/differential-equations-with-youtube-examples-ebook http://www.math.ust.hk/~machas/differential-equations.pdf
Views: 2941 Jeffrey Chasnov
ME564 Lecture 9: Linearization of nonlinear ODEs, 2x2 systems, phase portraits
 
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ME564 Lecture 9 Engineering Mathematics at the University of Washington Linearization of nonlinear ODEs, 2x2 systems, phase portraits Notes: http://faculty.washington.edu/sbrunton/me564/pdf/L09.pdf Course Website: http://faculty.washington.edu/sbrunton/me564/ http://faculty.washington.edu/sbrunton/
Views: 8612 Steve Brunton
SAP2000 Nonlinear Dynamic Analysis
 
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This workshop will provide a hands-on experience on using SAP2000 for estimating response of structure subject to dynamic loads. A simple steel moment-frame structure will be used to demonstrate steps involved in performing modal, pushover, response-spectrum, and response time-history analysis. Different options available in SAP2000 to capture nonlinear behavior of structure and their effects on structural response will also be discussed. Presentation and supporting materials are available here: http://www.manishkumar.org/resources/softwares/SAP2000/MyTutorial/NDA/SAP2000_Nonlinear_Dynamic_Analysis.pdf http://www.manishkumar.org/resources/softwares/SAP2000/MyTutorial/NDA/Files.zip Note: The scale factor in nonlinear response history analysis case should be 0.01 (I first assigned it 9.81, and then 0.1) to convert the values in ground motion file from cm/sec2 to m/sec2.
Views: 25094 maksins
Secant Method Example
 
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Learn via example the secant method of solving a nonlinear equation. For more videos and resources on this topic, please visit http://nm.mathforcollege.com/topics/secant_method.html
Views: 204136 numericalmethodsguy
Linearization of Two Nonlinear Equations
 
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MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Gilbert Strang With two equations, the two linearized equations use the 2 by 2 matrix of partial derivatives of the right hand sides. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Views: 21606 MIT OpenCourseWare
Phase Plane Plots
 
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We discuss the use of Phase Plane Plots for understanding the qualitative behavior of systems of differential equations.
causal /non-causal ,linear /non-linear ,time variant /invariant ,static /dynamic , stable /unstable
 
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signal and systems - classification of signals . find whether the given signal is : causal / non-causal , linear / non-linear , time variant / invariant , static / dynamic , stable / unstable playlist of signal and system: https://www.youtube.com/watch?v=RXXPrSZASyc&list=PLfP-D1tg0DI2Fpj_oV4VvLax4JJVL_kW2 playlist of dsp: https://www.youtube.com/watch?v=L19p9Qa_Wlg&list=PLfP-D1tg0DI1VEDhEOVNHrTs_pzt684ou ANY DOUBT ? ASK ON FB page . facebook link : https://www.facebook.com/studysimplified/
Views: 65322 studysimplified
Nonlinear optics
 
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Nonlinear optics Prof. Kimani Toussaint, UIUC Powerpoint: http://light.ece.illinois.edu/bss12/Toussaint_Lecture1_p2-NonlinearOptics2012.pdf
Views: 13964 NanoBio Node
7. Solutions of Nonlinear Equations; Newton-Raphson Method
 
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MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: James Swan This lecture talked about the system of non-linear equations. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Views: 7077 MIT OpenCourseWare
Solve Nonlinear Equations with MATLAB
 
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MATLAB solves nonlinear equations either symbolically or numerically with solvers such as "fsolve". This example demonstrates how to obtain a solution to sets of nonlinear equations.
Views: 67302 APMonitor.com
Fixed points and stability: one dimension
 
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Shows how to determine the fixed points and their linear stability of a first-order nonlinear differential equation. Free books: http://bookboon.com/en/differential-equations-with-youtube-examples-ebook http://www.math.ust.hk/~machas/differential-equations.pdf
Views: 5537 Jeffrey Chasnov
system of nonlinear equations - Newton's method
 
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I calculate the inverse of the Jacobian. You can also use cramer's rule to solve this kind of question but it is more time consuming. Below is a Matlab code created by Carlos Vicente Dominguez, Specialization in Power Systems graduate student at Universidad Central de Venezuela. Thank you Carlos! %This program solves a system of 2 nonlinear equations %Method of Newton-Raphson of Laura Soriano's video format long %Size of matrices used J=zeros(2,2); B=zeros(2,1); x=zeros(16,1); y=zeros(16,1); DELTA=zeros(2,1); MM=zeros(16,1); %Data %Initial guess x(1)=1; y(1)=1; %Data %Error of approximation error=0.0001; disp('Results of Method of Newton-Raphson from video of Laura Soriano'); disp('The initial guess is:'); disp('x(0)='); disp(x(1)); disp('y(0)='); disp(y(1)); n=15; for k=1:n %Data %System of nonlinear equations f1=4*x(k)^2-y(k)^3+28; f2=3*x(k)^3+4*y(k)^2-145; B=[f1; f2]; %Data %Jacobian matrix J(1,1)=+8*x(k); J(1,2)=-3*y(k)^2; J(2,1)=+9*x(k)^2; J(2,2)=+8*y(k); DELTA = -inv(J)*B; x(k+1)=x(k)+DELTA(1,1); y(k+1)=y(k)+DELTA(2,1); disp(sprintf('Results of iteration number %1.0f',k)); disp(sprintf('x(%1.0f)=',k)); disp(x(k+1)); disp(sprintf('y(%1.0f)=',k)); disp(y(k+1)); %Formula of the mismatch used MM(k+1) = ((x(k+1)-x(k))^2+(y(k+1)-y(k))^2)^0.5; if MM(k+1) < error disp(sprintf('The mismatch was less than the error of approximation at iteration number %1.0f', k)); disp('The last mismatch was='); disp(MM(k+1)); disp('The error of approximation was set at='); disp(error); disp('Values of x='); disp(x); disp('Values of y='); disp(y); disp('Values of mismatch='); disp(MM); disp('This program was designed by Carlos V. Dominguez, student of specialization in electric power systems at Universidad Central de Venezuela.') format short break else end if k==10 disp(sprintf('This program has made %1.0f iterations and has not reached any solution. Change the initial guess or change the value of the error of approximation.',k)) disp('This program was designed by Carlos V. Dominguez, student of specialization in electric power systems at Universidad Central de Venezuela.') format short break else end end
Views: 162207 Laura Soriano
Mod-07 Lec-16 Linearization of Nonlinear Systems
 
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Advanced Control System Design by Radhakant Padhi, Department of Aerospace Engineering, IISC Bangalore For more details on NPTEL visit http://nptel.iitm.ac.in
Views: 18094 nptelhrd
Mod-01 Lec-15 Nyquist plots and Nyquist criterion for stability
 
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Nonlinear Dynamical Systems by Prof. Harish K. Pillai and Prof. Madhu N.Belur,Department of Electrical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
Views: 137692 nptelhrd
Solution of algebraic and transcendental equations - Part 1
 
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See and learn how to solve algebraic and transcendental equations by bisector and regula falsi method.
Views: 29294 M1M2M3NOTES
Safe and Efficient Adaptive-Predictive Control of Constrained Nonlinear Systems
 
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As autonomous systems are deployed in increasingly complex and uncertain environments, safe and accurate feedback control techniques are required to ensure reliable operation. Accurate trajectory tracking is essential to complete a variety of tasks, but this may be difficult if the system's dynamics change online, e.g., due to environmental effects or hardware degradation. As a result, uncertainty mitigation techniques are also necessary to ensure safety and accuracy. However, this is particularly difficult for small, agile systems, such as micro aerial vehicles (MAVs), which have severely limited computation due to size, weight, and power restrictions but require high-rate feedback control to maintain stability. In this talk, I will present a computationally-efficient, Nonlinear Model Predictive Control strategy that enables accurate and reliable operation in the presence of unmodeled system dynamics while ensuring safety via constraint satisfaction. This technique uses past experiences to inform an online-updated estimate of the system dynamics model and the choice of controller for a given scenario, thereby reducing online computation and enhancing control performance. We demonstrate the safety and accuracy of this high-rate, constrained, adaptive controller via hardware-in-the-loop simulations and experimental studies with a small quadrotor MAV. See more on this video at https://www.microsoft.com/en-us/research/video/safe-efficient-adaptive-predictive-control-constrained-nonlinear-systems/
Views: 628 Microsoft Research
Bisection Method in Hindi
 
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This video lecture " Bisection Method in Hindi" will help Engineering and Basic Science students to understand following topic of of Engineering-Mathematics: 1. concept and working rule of Bisection method 2. one solved example soon we will upload next video. For any query and feedback, please write us at: [email protected] OR call us at: +919301197409(Hike number) For latest updates subscribe our channel " Bhagwan Singh Vishwakarma" or join us on Facebook "Maths Bhopal"...
Easy and Best Way to Solve Nonlinear Differential Equation with MATLAB and MAPLE
 
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Most of Researcher plays with Nonlinear Ordinary Differential equation. In this video, I compare the ode, bvp solvers of MATLAB with dsolve solver of MAPLE. Your comments are Welcome.
Views: 18098 Scientific Rana
Newton Raphson Method with Solved Example ll Find the Roots of the Equations ll GATE 2019
 
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Newton Raphson Method with Example ll Find the Roots of the Equations ll GATE 2019 Download PDF notes here https://goo.gl/8BcxaZ For More update about GATE 2019 News follow below link http://www.gatexplore.com/ Topics Covered in this video 1) Concept of Newton Raphson method 2) Step/Procedure of Newton Raphson method 3) Problem on Newton Raphson Method 4) Solved Problem 5) Intermediate value theorem 6) Newton Raphson PDF 7) Solved Example of Newton Raphson Method -------------------------------------------------------------------------------------------------------------- My Production Gear 1. Mobile Camera: http://amzn.to/2wbZPJt 2. Tripod: http://amzn.to/2xGD122 3. Shooting Light: http://amzn.to/2wiBgsw 4. Green Screen: http://amzn.to/2wiUPRA 5. Laptop for Editing: http://amzn.to/2wiUPRA ----------------------------------------------------------------------------------------------------------------- To get more updates about GATE 2019 Mechanical engineering video lectures please subscribe us on the following link Visit our Website for more GATE Material, Guidance, and Videos http://www.gatexplore.com/ Subscribe us on YouTube https://www.youtube.com/channel/UCPtzUejgvGILvdVQCA9EkRA Follow us on G+ https://plus.google.com/u/0/b/117088329234701586721 Follow us on Facebook https://www.facebook.com/gatexplore Follow us on Twitter https://twitter.com/GateChannel -~-~~-~~~-~~-~- Please watch: "[Hindi] Transportation Problem MODI Method ll [U-V Method] - Optimal Solution ll GATExplore" https://www.youtube.com/watch?v=EEM8_d9u8O0 -~-~~-~~~-~~-~-
ME564 Lecture 7:  Eigenvalues, eigenvectors, and dynamical systems
 
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ME564 Lecture 7 Engineering Mathematics at the University of Washington Eigenvalues, eigenvectors, and dynamical systems Notes: http://faculty.washington.edu/sbrunton/me564/pdf/L06.pdf Matlab code: http://faculty.washington.edu/sbrunton/me564/matlab/L05_ode45.m Course Website: http://faculty.washington.edu/sbrunton/me564/ http://faculty.washington.edu/sbrunton/
Views: 5116 Steve Brunton
Circuit Analysis|| concept of network, circuit, linear & Nonlinear , Bilateral & Unilateral ||#kunal
 
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नमस्कार प्यारे भाईयो , बहनों।।।। मैं ही आपका प्यारा दोस्त कुणाल.👌 आपका हमारे youtube chnannel ⬇️⬇️⬇️⬇️ "Tⓔⓒⓗⓝⓘⓒⓐⓛ Kⓡⓐⓝⓣⓘ". मैं स्वगात हैं।। ,, My YouTube channel,, technical Kranti Subscribed link... https://www.youtube.com/channel/UC3ij... Today i am show you my new video. I hope you like and enjoy this video👍 In this video we Learn about Diploma/ B.tech related topics... Dear student, .In this lecture i will explain the basic concepts of circuit analysis .The contents we cover in this lecture are : ►Introduction to Circuit Analysis ►Difference between Linear and Non linear Electric circuit ►Difference between Active and passive elements in Circuit Analysis ►Electric Network terminologies ➜Branch ➜Node ➜loop ➜Mesh I will also explain the difference between any two network terminologies . Thanks for being with us ,i hope you learn a lot from this lecture . If You want to learn more concepts of electrical engineering watch more lectures at : Tags.. #circuit analysis circuit analysis pdf #circuit analysis book circuit analysis problems #circuit analysis practice problems circuit analysis basics circuit analysis examples circuit analysis notes #circuit analysis using matlab circuit analysis and synthesis #circuit analysis alexander pdf circuit analysis and synthesis thapar circuit analysis anna university question paper circuit analysis and design circuit analysis app circuit analysis and design pdf concept of circuit integration concept of circuit switching concept of circuit breaker concept of circuit switching and packet switching concept of circuit concept of circuit integration pdf concept of circuit switching in hindi concept of circuit design concept of circuit training concept of circuitry concept of virtual circuit and lan #concept of short circuit and open circuit concept of lighting circuit and power circuit basic concept of circuit #concept of short circuit capacity of a bus explain the concept of circuit switching concept of virtual circuit in networking concept of circuits concept of electric circuits concept of integrated circuits concept of logic circuits concept of virtual circuits #concept of electronic circuits #concept of digital circuits the concept of circuit 👇👇👇👇👇👇👇👇👇 । My other Education Video for you..⬇️⬇️⬇️ #1. Full information about Diploma/ polytechnic course in Hindi. https://youtu.be/YU5KxVtz8M4 #2.Ohm's Law in Hindi.|| Resistance, Voltage, Current.|| Basic Electrical Study. https://youtu.be/x066P3gx92s #3.Top -10 android apps for Electrical engineering .|| Engineering apps|| Video by technical Kranti.|| https://youtu.be/2oBv8SM7in4 #4.Important Books of Electrical Engineering .|| Books for Polytechnic/Diploma.|| by Technicalkranti​. https://youtu.be/C1O-40HLmt8 #5. Polytechnic Entrance Exam. 2018 Questions paper.!! पॉलीटेक्निक मैं पूछे गए प्रश्न.।। Technicalkranti. https://youtu.be/_ctQ9zyat4c #6.Important Asked question of polytechnic Entrance exam.2017.( 100%).|| VVI question|| technicalkranti. https://youtu.be/X8WJOUSrNTk # 7.Bond Trick For Engineering students. https://youtu.be/NF4egiAnv9M #8. Ohm's law... Engineering . diploma. https://youtu.be/3m3ABdhyEdA #9.Padhne ka best Scientific Tarika.|Board Exam m top karne ke best tirake.|| video by technical kranti।।। https://youtu.be/8gpdQglGm2Y #10.Funny Computer class WITH Aman Baba।।Video by technical Kranti.. https://youtu.be/U7nGpuaptUU .. Thank you if you like giving the button i link.Do not forget to SUBSCRIBE😊 . If you have any questions OR problem.Than you can contact me on.👇 Whatsapp number-9304060659 {we always happy to help you} . I was reply to you next 24 house.😊 So Thanks for watching. My Facebook page link -👇 https://m.facebook.com/kunalkumar.kranti. My instagram account. https://www.instagram.com . My Blogger websites.. https://diploma3rdsem.blogspot.com/?m=1 . I Request, if you like us So you please subscribe Your channel and like your Videos. - Note - ALL THE IMAGES / PICTURES SHOWN IN THE VIDEO BELONGS TO BE RESPECTED OWNERS AND NOT ME... I AM THE NOT THE OWNER OFF ANY PICTURES SHOWED IN THE VIDEO Copyright disclaimer undersection 107 of the copyright act 1976 allowance is made for " fair use" for purposes such as criticisms, comment, news, reporting, teaching, scholarship and research. Fair use is a permitted by copyright statute that might otherwise be infringing, non-profit educational or personal use tips the balance in favour of fair use... About: Technical kranti is created by - Kunal Kumar Kranti.I am a Technical Electrical Engineer.. This is a technical , Education, & entertainment, channels. In this YouTube channels we learnt about Diploma course related Education Video. Video by...#technicalkranti *****Thanks for watching***** 💐 Plzzz Subcribe My youtube Channeel 🚩🚩TECHNICAL क्रांति🎙️💾🇦🇱 Like करे,,,,🤔🤔🤔🤔🤔🤔 SHARE KARE.......📶📶📶📶
Views: 61 TECHNICAL KRANTI
ch5 2: Numerical Solutions of nonlinear equations. Bisection method. Wen Shen
 
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Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I
Views: 3897 wenshenpsu
Mod-01 Lec-07 Lyapunov theorem on stability
 
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Nonlinear Dynamical Systems by Prof. Harish K. Pillai and Prof. Madhu N.Belur,Department of Electrical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
Views: 51354 nptelhrd
Phase Transitions & Bifurcations
 
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See the full course: https://goo.gl/9qB4CV Follow along with the course eBook: https://goo.gl/wQahvk A phase transition is the transformation of a system from one state to another through a period of rapid change. The classical example of this is the transition between solid, liquid and gaseous states that water passes through given some change in temperature, phase transitions are another hallmark of nonlinear systems. In this module we discuss the concept in tandem with its counterpart bifurcation theory. Produced by: http://complexitylabs.io Twitter: https://goo.gl/ZXCzK7 Facebook: https://goo.gl/P7EadV LinkedIn: https://goo.gl/3v1vwF Transcription excerpt: Bifurcations & Phase transitions As we have previously discussed the qualitative dynamic behavior of nonlinear systems is largely defined by the positive and negative feedback loops that regulate their development, with negative feedback working to dampen down or constrain change to a linear progression, while positive feedback works to amplify change typically in an super-linear fashion. As opposed to negative feedback where we get a gradual and often stable development over a prolonged period of time, what we might call a normal or equilibrium state of development, positive feedback is characteristic of a system in a state of nonequilibrium. Positive feedback development is fundamentally unsustainable because all systems in reality exist in an environment that will ultimately place a limit on this grown. From this we can see how the exponential grow enabled by positive feedback loops is what we might say special, it can only exist for a relatively brief period of time, when we look around us we see the vast majority of things are in a stable configuration constrained by some negative feedback loop whether this is the law of gravity, predator prey dynamics or the economic laws of having to get out of bed and go to work every day. These special periods of positive feedback development are characteristic and a key diver of what we call phase transitions. A phase transition may be defined as some smooth, small change in a quantitative input variable that results in a qualitative change in the system’s state. The transition of ice to steam is one example of a phase transition. At some critical temperature a small change in the systems input temperature value results in a systemic change in the substance after which it is governed by a new set of parameters and properties, for example we can talk about cracking ice but not water, or we can talk about the viscosity of a liquid but not a gas as these are in different phases under different physical regimes and thus we describe them with respect to different parameters. Another example of a phase transition may be the changes within a colony of bacteria that when we change the heat and nutrient input to the system we change the local interactions between the bacteria and get a new emergent structure to the colony, although this change in input value may only be a linear progression it resulted in a qualitatively different pattern emerging on the macro level of the colony. It is not simply that a new order or structure has emerged but the actual rules that govern the system change and thus we use the word regime and talk about it as a regime shift, as some small changes in a parameter that affected the system on the local level leads to different emergent structures that then feedback to define a different regime that the elements now have to operate under. Another way of talking about this is in the language of bifurcation theory, whereas with phase transitions we are talking about qualitative changes in the properties of the system, bifurcation theory really talks about how a small change in parameter can causes a topological change in a system’s environment resulting in new attractor states emerging. A bifurcation means a branching, in this case we are talking about a point where the future trajectory of an element in the system divides or branches out, as new attractor states emerge, from this critical point it can go in two different trajectories which are the product of these attractors, each branch represents a trajectory into a new basin of attraction with a new regime and equilibrium.
Views: 12790 Complexity Labs
Nonlinear Analysis Example 1 | Structural Analysis
 
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https://goo.gl/84ETa1 for more FREE video tutorials covering Structural Analysis.
Views: 945 Spoon Feed Me

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