Ordinary Differential Equations, Dynamical Systems and Chaos using Matlab

Convener(s)


Name:	Dr. Madhukant Sharma	Dr. Mukesh Tiwari
Mailing Address:	Assistant Professor Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, Gujrat - 382007.	Associate Professor Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, Gujrat - 382007.
Email:	madhukant_sharma at daiict.ac.in	mukesh_tiwari at daiict.ac.in

The main aim of this workshop is to combine theory with practical applications using MATLAB to delve into Ordinary Differential Equations (ODEs), Dynamical Systems, and Chaos. This workshop offers a unique opportunity for the participants to enhance their skills and deepen their understanding. In particular, the participants will learn how to utilize MATLAB's powerful computational tools to solve and analyze ODEs, simulate dynamical systems, and explore chaotic behaviors. Further, they gain hands-on experience in implementing numerical methods, conducting stability analyses, and visualizing complex data - all within the MATLAB environment. The discussed topics will be helpful in research and also enhance their teaching skills. Therefore, this workshop will benefit the college and university teachers and the prospective teachers (research scholars), thereby their undergraduate and post-graduate students

Selected outstation participants will receive free accommodation in DAIICT hostels on a double or triple-sharing basis, subject to availability.

Dates:

Saturday, January 4, 2025 - 19:00 to Thursday, January 9, 2025 - 19:00

Venue:

DA-IICT

Venue Address:

Dhirubhai Ambani Institute of Information and Communication
Technology (DA-IICT), DA-IICT Road, Gandhinagar – 382007, Gujarat, India

Venue State:

Gujrat

Venue City:

Gandhinagar

PIN:

382007

Syllabus:

Speakers and Tutors

Name of the Speaker with affiliation	No. of Lectures	Detailed Syllabus
Dr. Madhukant Sharma Assistant Professor, DA- IICT Gandhinagar	7 hrs	Existence and uniqueness of solutions for first order ODEs, Systems of first order ODEs and higher order ordinary differential equations with applications; Laplace Transform and its Application to Differential Equations; Numerical Methods for ODEs (IVPs): Euler’s Method, Higher order Taylor’s Method, Runge-Kutta Method, Stability and Convergence. Basics in Matlab, the symbolic math toolbox, plots and differential equations.
Prof. Syed Abbas, Professor, IIT Mandi	6 hrs	Stability, stability of linear systems, continuous dependence and stability properties, linear systems, two dimensional systems, stability by Lyapunov method, autonomous and non-autonomous systems.
Dr. Mukesh Tiwari, Associate Professor, DA- IICT Gandhinagar	11 hrs	Discrete Dynamical Systems: Iterative maps: Logistic map, tent map, Fixed points and periodic orbits, Stability analysis: Linearization, Jacobian matrix, Cobweb Method: Graphical analysis of iterations. Continuous Dynamical Systems: Phase portraits and vector fields, Fixed points and stability in continuous systems: Linear stability analysis. Nonlinear Dynamics and Chaos: Bifurcations: Saddle-node, transcritical, pitchfork, Hopf bifurcations, Examples and real-world applications of bifurcations. Introduction to Chaos, Lorenz attractor, Sensitivity to initial conditions: Butterfly effect, Lyapunov exponents and their significance, Strange attractors and fractals, Visualizing chaotic attractors. Chaos in Discrete Systems: Detailed study of the logistic map, Period-doubling route to chaos, Bifurcation diagram and its interpretation, Numerical methods for exploring chaos.

References:

Shair Ahmad, M. Rama Mohana Rao, Theory of ordinary differential equations: with applications of biology and engineering, Affiliated East-West Private Lmt., New Delhi [India], ©1999
Morris W. Hirsch, Stephen Smale and Robert L. Devaney, Differential Equations, Dynamical Systems, and an Introduction to Chaos, Third Edition, 2013, Elsevier.
Steven H. Strogatz, Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering, CRC Press, 2018.
Stephen Lynch, Dynamical Systems with Applications using MATLAB, Second Edition, 2014, Birkhäuser Cham

Name of the tutors:

S.No.	Name	Affiliation
1	Dr. Madhukant Sharma	DA-IICT Gandhinagar
2	Prof. Syed Abbas	IIT Mandi
3	Dr. Mukesh Tiwari	DA-IICT Gandhinagar

Time Table:

Date, Days	Lecture 1 9:30- 11:00	11:00 - 11:30	Lecture 2 11:30- 01:00	1:00	Lecture 3 2:30-3:30	3:30 - 4:00	Tutorial 1 4:00- 5:00	5:00-5:30
	(Speaker’s name)	Tea	(Speaker’s name)	Lunch	(Speaker’s name)	Tea	(Tutor’s name)	Snacks
04-01-2025 Saturday	MS		SA		MS		MS, SA, MT
05-01-2025 Sunday	MT		MT		MS		MS, SA, MT
06-01-2025 Monday	MT		SA		MT		MS, SA, MT
07-01-2025 Tuesday	MS		SA		MS		MS, SA, MT
08-01-2025 Wednesday	MT		SA		MT		MS, SA, MT
09-01-2025 Thursday	MT		MT		MS		MS, SA, MT	Valedictory Session

Full forms for the abbreviations of speakers and tutors:

Prof. Syed Abbas (SA) https://faculty.iitmandi.ac.in/~abbas/
Dr. Mukesh Tiwari (MT) https://www.daiict.ac.in/faculty/mukesh-tiwari
Dr. Madhukant Sharma (MS) https://www.daiict.ac.in/faculty/madhu-kant-sharma

Selected Applicants:

Sr.n	SID	Full Name	Gender	Affiliation	Position in College/ University	University/Institute M.Sc./ M.A.	Year of Passing M.Sc./ M.A	Ph.D. Degree Date
1	59854	Ms. Reena	Female	National Institute of Technology Raipur	Research Scholar	Atal Bihari Vajpayee University Bilaspur	2021
2	60199	Mr. Deepjyoti	Male	Indian Institute of Technology Roorkee, Saharanpur campus	PhD	GAUHATI UNIVERSITY	2021
3	60317	Mr. Debabrata	Male	Indian Institute of Technology Roorkee	PhD	Visva-Bharati (A Central University)	2022
4	60446	Dr. Amiya	Male	University of Kalyani	Assistant Professor	IIT Kharagpur	2011	16/05/2016
5	60578	Mr Husna	Male	IIT Patna	PhD	IIT Kanpur	2020
6	60602	Dr Sanjay	Male	Alliance university	Associate professor	C.c.S.University	2008	01/10/2014
7	60681	Mr. Atish Kumar	Male	Central University of Odisa Koraput	PhD	Ravenshaw University Cuttack	2020
8	60714	Mr. Vishal Kumar	Male	Dhirubhai Ambani Institute of Information and Communication	PhD	University of Allahabad	2022
9	60785	Mr. Mridul	Male	BITS PILANI	PhD	SOUTH ASIAN UNIVERSITY	2024
10	60794	Dr Avijit	Male	University of Kalyani	Ast Prof	University of Kalyani	2007
11	60805	Dr. Aishwaraya	Female	MIT ADT UNIVERSITY PUNE	ASSISTANT PROFESSOR	Malviya national institute of technology Jaipur, India	2017	29/08/2024
12	60813	Mr. Vishalkumar J.	Male	Sardar Vallabhbhai National Institute of Technology, Surat	PhD Student	Hemchandracharya North Gujarat University, Patan	2018
13	60838	Mr. Rahaman	Male	Indian Institute of Technology Patna	PhD	University of North Bengal	2019
14	61014	Ms. Tithi	Female	Department of Mathematics , IIT Roorkee	PhD student	Hansraj College, University of Delhi	2023
15	61150	Dr Dharmendra	Male	Sri Guru Tegh Bahadur Khalsa College	Professor	IIT Delhi	2004	14/09/2021
16	61228	Dr. Manish	Male	Banasthali Vidyapith	Assistant Professor	Dr. Bhim Rao Ambedkar University/ M.Sc.	2004	17/12/2019
17	61231	Ms. Nidhi	Female	Indian Institute of Technology Roorkee	PhD	Banaras Hindu University	2019
18	61254	Dr. Lakshmipriya	Female	NSS College, Nemmara	Assistant Professor	Central University of Kerala	2015	10/10/2022
19	61259	Ms Rakhi	Female	Indian Institute of Technology Patna	PhD	NIT Jalandhar	2023
20	61262	Mr. Anand	Male	BITS Pilani, Pilani Campus	Research Scholar	South Asian University	2022
21	61264	Dr. Ganga Ram	Male	Banaras Hindu University	Asst. Prof.	C.C.S. University Meerut	2009	03/10/2015
22	61272	Ms. Aarohi	Female	Indian Institute of Technology Patna	PhD	NIT Jamshedpur	2023
23	61280	Dr. Varun	Male	Allinace University	Professor	Ch. Sahu Ji Maharaj University, Kanpur, Uttar Pradesh	2003	07/12/2013
24	61316	Mr. Manoj	Male	Banasthali Vidyapith	Research Scholar	Maharshi Dayanand University, Rohtak	2020
25	61359	Mr. Anirban	Male	MAHADEVANANDA MAHAVIDYALAYA	STATE AIDED COLLEGE TEACHER(SACT-1)	IIT ISM DHANBAD	2018
26	61391	Mr. Meet Nileshkumar	Male	Pandit Deendayal Energy University, Gandhinagar, Gujarat	PhD	Pandit Deendayal Energy University, Gandhinagar, Gujarat	2023
27	61435	Ms Nisha	Female	NIT Raipur	Research Scholar	Hemchand Yadav Vishwavidyalaya, Durg, Chhattisgarh	2020
28	61442	Ms. Kajal	Female	National Institute of Technology Raipur	Research Scholar	Pt. Ravishankar Shukla University, Raipur	2021
29	61469	Ms. Divya	Female	Indian Institute Of Technology, Mandi	Research Scholar	M.Sc.	2020
30	61470	Dr. Muneer Nabi	Male	Karnavati University	Assistant Professor	Jamia MIllia Islamia/M.Sc.	2015	21/06/2023
31	61474	Dr. Swati	Female	Bhagwan Parshuram Institute of Technology, New Delhi	Assistant Professor	Chaudhary Charan Singh University, Meerut	2016	02/05/2024
32	61479	Mr. Rohit	Male	Government PG College Bisalpur, Pilibhit	Assistant Professor	IIT Roorkee	2016
33	61480	Mr. Sambit Kumar	Male	IIT Madras	PhD	NIT Rourkela, Rourkela, Odisha	2022
34	61491	Dr. Punit	Male	Pandit Deendayal Energy University	Assistant Prof.	IIT Kharagpur	2016	18/12/2021
35	61494	Mr Tahir	Male	IIT Mandi	phd	kashmir university	2015
36	61503	Ms Garima	Female	Dhirubhai Ambani Institute of Information and Communication Technology	PhD	The LNM Institute of information technology	2023
37	61511	Mr Mukesh Chandra	Male	DA-IICT Gandhinagar	PhD	NIT ROURKELA	2020
38	61516	Ms Namrata	Female	Banaras Hindu University	Research Scholar, PhD	Kumaun University	2016
39	61517	Mr. Viraj Ashokbhai	Male	Dhirubhai Ambani institute of information and communication technology	PhD	The Maharaja Sayajirao University of Baroda	2023
40	61520	Dr. Sripathy	Male	Vellore institute of Technology, Vellore	Assistant Professor	Msc	2004	30/05/2017
41	61526	Mr. Amitosh	Male	Daiict	Ph.D	Central University of Andhra Pradesh, Anantapur	2023
42	61530	Mr Biswajit	Male	Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar	Phd Scholar	VSSUT Burla	2018
43	61538	Dr. Rajasekar	Male	Government Arts College for Women, Nilakottai	Associate Professor	Pondicherry University	2004	30/09/2020
44	61564	Ms. Anjali Ramashankar	Female	IIT ISM Dhanbad	PhD	NIT Silchar	2021
45	61013	Mr. Ajay	Male	Sardar Vallabhbhai National Institute of Technology, Surat	PhD	Indian Institute of Technology Madras	2019
Waitlisted Applicants
1	60382	Mr. Om	Male	INDIAN INSTITUTE OF TECHNOLOGY ROORKEE	PhD	NATIO0NAL INSTITUTE OF TECHNOLOGY WARANGAL	2023
2	60954	Mr. Dinesh Indrajmal	Male	IIT Roorkee	PhD Student	University of Mumbai	2019
3	61476	Mr Anil Kumar	Male	Indian Institute of Technology Roorkee	Phd scholar	Central University of jharkhand	2021
4	59833	Ms. Supriya	Female	NIT Raipur	PhD	Banaras Hindu University/ DST-CIMS institute of science BHU	2021
5	59845	Mr. Bhavsagar	Male	NIT Raipur	PhD	Guru Ghasidas Vishwavidyalaya Bilaspur CG	2019
6	60071	Mr. Sunil Kanhaiyalal	Male	NIT Raipur	Research Scholor	University of Mumbai	2011
7	60897	Mr Ram	Male	Department of Mathematics Guru Ghasidas Vishwavidyalaya Bilaspur Chhattisgarh	PhD	Baba Saheb Bhimrao Ambedkar University Lucknow Uttar pradesh	2021
8	60890	Mr. Mohit	Male	University of Delhi	Ph.D.	Department of Mathematics, Kurukshetra University, Kurukshetra	2020
9	60908	Ms Anjali	Female	University of Delhi	PhD	University of Delhi	2023
10	61497	Mr Ramathas	Male	National Institute of Technology	PhD	presidency college	2020
11	61324	Mr. Raj Mal	Male	Central University of Rajasthan	PhD	Mohanlal Sukhadia University, Udaipur, Rajasthan	2020
12	61496	Ms. Komal	Female	Central University of Rajasthan	PhD	IIT Roorkee	2019
13	61567	Mrs. Suman	Female	Central University of Rajasthan ,Ajmer	Ph.D	Central University of Rajasthan , Ajmer( 305817)	2023

How to Reach:

TBA

School Short Name:

odedscum

Last Date Application:

Monday, August 15, 2022

School Type:

TEW