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Manipur Univ


Prof. Khundrakpam Binod Mangang

Designation: Professor

Specialization: Topological Dynamics and Celestial Mechanics

Contact: +917005485916

Email: khubim [AT] manipuruniv.ac.in, khubim [AT] gmail.com

MSc, MPhil, PhD (University of Delhi)

Faculty Details Faculty List

Professor Dr Khundrakpam Binod Mangang (KB Mangang)

Dept. of Mathematics, Manipur University

Cell: +917005485916

 

Email

khubim [AT] manipuruniv.ac.in

khubim [AT] gmail.com

Degree

MSc, MPhil, PhD (University of Delhi)

NET/JRF

UGC-CSIR JRF(NET)/SRF

Research Supervision and Awarded

PhD: 5(Four in Manipur University and One in Mizoram University)

Research Supervision and Ongoing

PhD:5 and 6

Areas of Research Interest

Topological Dynamics (Pure) and Celestial Mechanics (Applied)

Award/Citation

A Narasingha Rao, Award, 2014

Project Completed/

2

E-Content

YouTube Channel for Video Lectures

Administrative

Various Activities assigned and completed successfully

Publications

More than 28

Invited Talks

More than 6

Publications(Books)

2(Two)

Paper Presentation(Both national and International)

More than 15

 

Reviewed Research Paper

More than 15 (Fifteen)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Some of the Administrative Duties:

I have been assigned duties for the following activities by the University Authorities, and I have conducted those activities successfully.

  • Officer-in-Charge for conducting MA/MSc Mathematics 2nd Semester Examination, 2024 (June).

  • Officer-in-Charge for conducting B.Sc. Nursing Examinations, August 2022.

  • Officer-in-Charge for conducting B.Sc MLT, MRIT and OTT Examinations, July 2022.

  • Officer-in-Charge for conducting DMLT, DOPT, DOTT & DRIT II & IV Semesters Examinations, July 2022.

  • Officer-in-Charge for conducting B.Sc. Forensic Science II, IV & VI Semesters Examinations, July 2022.

  • Officer-in-Charge for conducting II, IV & VI Semesters BBA Examinations, June 2022.

  • Officer-in-Charge for conducting I-Sem, PGDCA, December 2020 Examinations.

  • Officer-in-Charge for conducting III-Sem, MSW, December 2021 Examinations.

  • AOC for conducting III-Sem & I-Sem Examinations, December 2016, Manipur University.

 

Award:

  • A Narasingha Rao, Award, 2014, awarded by Indian Mathematical Society in its 82nd annual conference held at the University of Kalyani, West Bengal, during December 27-30, 2016.

Dr K B Mangang was awarded A.Narasingha Rao Award, 2014 , a national award, awarded by IMS in recognition of my works: i) The orbital limit of a sequence of equicontinuous maps is equicontinuous. ii) The orbital limit of a sequence of orbitally convergent minimal systems is minimal. iii) Construction of a sequence of orbitally convergent equicontinuous systems.

 

Some of the Invited Talks/Lectures:

  • Title of Talk: Various Shadowing Properties in General Topological Spaces, Conference: 14th AIMS CONFERENCE 2024, 16-20 December 2024 held at Abu Dhabi, United Arab Emirates.

  • Title of Talk: On Shadowing Properties in Uniform Spaces, Conference: International Conference on Advances in Mathematics and its Applications 2024, December 6-7, 2024 held at Department of Mathematics, Manipur University.

  • Title of Talk: Some Dynamical Properties of the Limit Function of a Sequence of Functions, Programe: An invited talk for winning A Narasingha Rao, Award, 2014 at 82nd IMS Annual Conference, 27-30 December, 2016 held at the University of Kalyani, West Bengal, during December 27-30, 2016

  • Title of Lecture: Topological Dynamics, Program on UGC-SAP Seminar, held during March 14-16, 2017, North Eastern Hill University, Shillong.

  • Title of Talk: Dynamical Properties of Limit Dynamical Systems, Department of Mathematics, Tezpur University, Napaam, Assam, 24-10-2016

  • Title of Lecture: Mathematical Modeling in Population Dynamics, Program: Interactive Programme for PhD. Scholars, UGC, ASC, Manipur University, 09-04-2015.

  • Title of Lecture: Chaos and Conjugacies, Programe: SERC Winter School on Non Linear Dynamics, Manipur University Nov. 18 to Dec. 08, 2015.

  • Title of Talk: Computational Techniques in Mathematical Sciences, Program: Training Programme on Applications of Computer in Mathematical Sciences, Department of Mathematics, SK Women’s College, Nambol, Manipur, March 24-27, 2015.

 

Some of the Extra-Curricular Activities:

  • Actively participated in Swachhta Pakhwada-Manipur University, 2024, (1-15 September 2024)

  • Teacher in Charge for External Educational Tour to Tezpur University and Tawang, January, 2022.

  • Teacher in Charge, for Internal Educational Tour at Geljang Resort, Churchandpur, June 11, 2022.

  • Presiding Officer for Inner Manipur Parliamentary Election, 2019.

  • Presiding Officer for Manipur Assembly Election, 2017.

  • Teacher in Charge for Internal Educational Tour to Chingnungkok.

  • Teacher in Charge for Internal Educational Tour to Karang, March 1, 2015.

  • Presiding Officer for the annual MUSU Elections since 2015.

  • Teacher in Charge for MUSU Sport Week.

Member of Editorial Board of Journal/University School Board:

  • Editorial Board Member of the Journal JP JOURNAL OF GEOMETRY AND TOPOLOGY

  • Member of School Board for School of Mathematical and Physical Sciences, Manipur University.

  • Member of Board of Studies, Department of Mathematics, Manipur University.

  • Member of Board of Studies for Undergraduate Mathematics, Manipur University.

  • Member of School Board for School of Physical Sciences, Mizoram University (2007-2010).

  • Member of Board of Studies for Department of Mathematics & Computer Sciences, Mizoram University (2007-2015).

  • Member of Board of Studies for the Department of Chemistry, Mizoram University (2010-2013).

 

Association Members:

  • Office bearer as Treasurer of Manipur University Alumni Association 2025-2027

  • Office bearer as Joint Secretary of Manipur University Teacher Association 2018-2019

  • Lifetime member of Indian Mathematical Society

  • Lifetime member of Calcutta Mathematical Society

  • Lifetime member of Manipur Mathematical Society

 

Glimpse of Academic achievements and activities:

Dr K B Mangang is presently working as an Associate Professor in the Department of Mathematics, Manipur University. He joined the University in January, 2015. Before joining Manipur University, he was working in the Department of Mathematics & Computer Science, Mizoram University (Central University), as an Assistant Professor from January 2007 till January 2015.

Length of Teaching Experience:

He has total PG teaching experience of more than 18 years.

Doctoral Research:

Dr K B Mangang got his PhD. Degree from the Department of Mathematics, University of Delhi in 2009. Before that he got MSc. and Mphil. degrees in Mathematics from the same University. Title of his PhD thesis is “Linear and Non-Linear Stability of Equilibrium Points in the Robe’s Restricted Three-Body Problem”, an area which still attracts many Mathematicians and Scientists to solve the mystery of the Universe.

Doctoral Research Findings:

The main finding of his PhD research is that the Earth’s Core is stable under perturbed conditions.

Post Doctoral Research:

Dr K B Mangang’s post doctoral research field is Topological Dynamics or discrete Dynamical systems. Both Topological Dynamics and Celestial Mechanics can be clubbed together and called as Dynamical Systems.

 

Post Doctoral Research Findings:

The main findings are: i) Extension of various notions of dynamical systems to a system when the phase space is a uniform space or a Hausdorff topological space, (ii) Investigation and finding various results of the various dynamical notions of the uniform and orbital limit dynamical systems, and (iii) Extensions of the various notions of dynamical systems to Product dynamical systems and disjoint sum dynamical systems. Rigorous mathematical proofs of the results are given, and examples are constructed to support the various results.

 

Academic Awards:

  • Gold Medal for Highest Marks in BSc Hon (Mathematics)
    Awarded by Manipur University, 1997.

  • National Scholarship (1994-2000).

  • Merit Citation for 2nd Topper in Class XII
    Awarded by the Council of Higher Secondary Education, Manipur, 1994.

Project Completed/ Ongoing:

 

  • UGC Minor Research Project Rs. 1.4 Lac
    “Study of KAM Theory and its Applications” Feb 2010 to Feb 2012.

The finding of the project is that KAM theory can be applied effectively in finding the non-linear stability of equilibrium points in Robe’s restricted three body problem in particular and restricted three body problem in general.

  • UGC Major Research Project,
    “Sensitivity and local aspect of topological mixing of the limit function of a sequence of functions” July 2015 to June 2018.

The findings of the project are: i) The orbital limit of a sequence of orbitally convergent and topologically mixing functions is topologically mixing. ii) The orbital limit of a sequence of orbitally convergent and topologically weak mixing functions is weak mixing.


 

E-Content:

 

Dr K B Mangang has opened a YouTube Channel “K B MANGANG”. During Covid-19 Pandemic, animation video lectures were uploaded in this channel. The animation videos are produced using the latest technologies such as: i) Microsoft Powerpoint, ii) Manim Package of Python Language, iii) Camtasia Studio Software for screen recording and video and sound editings etc.

 

Some of the Publications/Accepted:

 

  • Topological Entropy, Topological Pressure and Topological Pseudo Entropy of Iterated Function Systems on Uniform Spaces. Qualitative Theory of Dynamical Systems, 23(5), 214 Singh, M. B., Devi, T. T., Mangang, K. B., & Wang, H. (2024). UGC, MathSciNet, ZbMath, Google, Scopus, WoS(SCIE)

  • Mean chain transitivity and almost mean shadowing property of iterated function systems, AIMS Mathematics,9(8), 2024, TT Devi, KB Mangang, S Akoijam, PR Lalhmangaihzuala, JP Singh

.UGC, MathSciNet, ZbMath, Google, Scopus, WoS(SCIE)

  • TOPOLOGICAL ERGODIC SHADOWING AND TOPOLOGICAL PSEUDO-ORBITAL SPECIFICATION OF IFS ON UNIFORM SPACES, Nonlinear Functional Analysis and Applications, 28(4), 2023, TT Devi, KB Mangang, Lalhmangaihzuala .UGC, MathSciNet, ZbMath, Google, Scopus

  • Equicontinuity of the Limit Function of a Sequence of Equicontinuous Functions,
    Journal of the Indian Mathematical Society Vol. 81, (1-2), pp 115-121(2014).
    Khundrakpam Binod Mangang. UGC, MathSciNet, ZbMath, Google, Scopus

  • Non linear stability of equilibrium point in the Robe’s restricted circular three body problem
    Indian Journal of Pure and Applied Mathematics, Vol. 38(1), pp 17-30 (2007) PP.Hallan and Khundrakpam Binod Mangang. UGC, MathSciNet, ZbMath, Google, Scopus, WoS(SCIE)

  • Positive expansivity, chain transitivity, rigidity, and specification on general topological spaces , Bulletin of Korean Mathematical Society, 59(2), 1-25, 2022. KB Mangang, TT Devi.

UGC, MathSciNet, ZbMath, Google, Scopus, WoS(SCIE)

  • On Topological Shadowing and Chain Properties of IFS on Uniform Spaces, Malaysian Journal for Mathematical Sciences, September 2022, Vol. 16, No. 3, 501-515, KB Mangang, Thiyam Thadoi Devi.

UGC, MathSciNet, ZbMath, Google, Scopus, WoS(ESCI)

  • Existence and linear stability of equilibrium points in the Robe’s restricted three body problem when the first primary is an oblate spheroid Planetary and Space Science, Vol. 55, pp 512-516 (2007)., PP.Hallan and Khundrakpam Binod Mangang UGC, MathSciNet, ZbMath, Google, Scopus, WoS(SCIE)

  • G-Attractor and G-Expansivity of the G-Uniform Limit of a Sequence of Dynamical Systems, South East Asian J. of Mathematics and Mathematical Sciences 17 (3), 403-414, KB Mangang, R Phinao

UGC, MathSciNet, ZbMath, Google, Scopus

  • Ergodic Shadowing , d-shadowing, and Eventual Shadowing in Topological Spaces, Nonlinear Functional Analysis and Applications, Vol. 27, pp 1-14, 2022. KB Mangang, S Akoijam UGC, MathSciNet, ZbMath, Google, Scopus

  • Li- Yorke Chaos in Product Dynamical Systems, Advances in Dynamical Systems and Applications, Vol. 12(1), pp 80-88(2017), Khundrakpam Binod Mangang UGC, MathSciNet, ZbMath, Google, Scopus

  • On Equicontinuity, Transitivity and Distality of Iterated Function Systems, Journal of dynamical systems and geometric theories, Vol. 18(2), pp 223-239(2021), Thiyam Thadoi Devi and Khundrakpam Binod Mangang

UGC, MathSciNet, ZbMath, Google, WoS(ESCI)

  • Mean Equicontinuity, Sensitivity, Expansiveness and Distality of Product Dynamical Systems, Journal of dynamical systems and geometric theories, Vol. 13(1), pp 27-33(2015),Khundrakpam Binod Mangang

UGC, MathSciNet, ZbMath, Google, WoS(ESCI)

  • Effect of perturbations in Coriolis and Centrifugal forces on the non linear stability of equilibrium point in Robe’s restricted circular three body problem,
    Advances in Astronomy, Vol. 2008, pp 1-23, Article ID: 425412, doi: 10.1155/2008/425412.
    PP.Hallan and Khundrakpam Binod Mangang. UGC, MathSciNet, ZbMath, Google, Scopus, WoS(SCIE)

  • On Set of Points Having same Negative Beta-Expansion and Beta-Expansion, Bulletin of Calcutta Mathematical Society 113 (2), 117-126, KB Mangang, MP Singh UGC, MathSciNet, ZbMath, Google

  • On Periodic Shadowing, Transitivity, Chain Mixing and Expansivity in Uniform Dynamical Systems, Gulf Journal of Mathematics, Vol. 9(2), pp 31-39(2020) Sonika Akoijam and Khundrakpam Binod Mangang

UGC, MathSciNet, ZbMath, Google

  • Existence and linear stability of equilibrium points in the Robe’s restricted three body problem when the primaries are oblate spheroids. Bulletin of Calcutta Mathematics Society Vol. 102(4), pp 361-370(2010) Khundrakpam Binod Mangang and PP Hallan. UGC, MathSciNet, ZbMath, Google,

  • On Sensitivity and Shadowing Property of the Uniform Limit of a Sequence of Dynamical Systems, Bulletin of Calcutta Mathematics Society, Vol 111(1) pp 43-52 (2019), Ramwungzan Phinao and Khundrakpam Binod Mangang UGC, MathSciNet, ZbMath, Google

  • On Attractor and Pseudo Orbit Tracing of Uniform Limit Dynamical Systems, Journal of Dynamical Systems and geometric theories,Vol. 17 (1), pp 83-90 (2019), Ramwungzan Phinao and Khundrakpam Binod Mangang UGC, MathSciNet, ZbMath, Google , WoS(ESCI)

  • On Denseness of Blanchard’s beeta-Shift Classification Bulletin of Calcutta Mathematics Society, Vol. 111, (3) pp 245–252 (2019), Maisnam Premkumar Luwang and Khundrakpam Binod Mangang

UGC, MathSciNet, ZbMath, Google

  • Product Dynamical Systems Far east journal of dynamical systems Vol. 24, (1-2), pp 1-13 (2014), Khundrakpam Binod Mangang UGC, MathSciNet, ZbMath, Google

  • Disjoint Sum Dynamical Systems, Vol. 7 (2), pp 317-320 (2014)
    International journal of pure and applied Mathematical Sciences.
    Khundrakpam Binod Mangang & Lalhmanghaizuala. UGC, MathSciNet, ZbMath, Google

  • Minimality and Equicontinuity of a sequence of maps in iterative way
    International Journal of Mathematics and Statistics Invention, Vol. 2 (9), pp 04-06 (2014).
    Khundrakpam Binod Mangang UGC, MathSciNet, ZbMath, Google

  • Almost Periodic Point and Topological Mixing of Sequence Dynamical System, International journal of applied Mathematical Sciences Vol. 7 (2)pp. 107-111(2014) Khundrakpam Binod Mangang UGC, MathSciNet, ZbMath, Google

  • Topological entropy of golden mean lookalike shift spaces
    International Journal of Mathematics and Statistics Invention Vol. 2 (7) pp 5-10 (2014).
    Khundrakpam Binod Mangang UGC, MathSciNet, ZbMath, Google

  • Equicontinuity and Sensitivity of Sequence Dynamical Systems, Global Journal of Pure and Applied Mathematics, Vol.13 (8), 4223-4228. UGC, MathSciNet, ZbMath, Google

Publications(Books)

  • Non Linear Stability Through KAM Theory (Book)
    LAMBERT Academic Publishing (2012).
    Khundrakpam Binod Mangang.

  • Restricted three body problem (Book)
    LAMBERT Academic Publishing (2014)
    Khundrakpam Binod Mangang

     

Paper Presentation/Organizing/Participating of Conferences, Workshops

 

  • Paper Presented “International Conference on Applications of Mathematics in Topological Dynamics, Physical, Biological and Chemical Systems', Calcutta Mathematical Society, Dec 9-11, 2016. Title of paper “Topological mixing of Dynamical Systems''

  • Paper Presented “National Conference on Mathematics and its Applications”, Department of Mathematics, Cotton College University, Guwahati 21-22 October, 2016, Title of Paper “Li Yorke Chaos”

  • Paper Presented “International Conference on Emerging Trends in Science and Engineering Research” Department of Basic Sciences (Mathematics) and Humanities, NIT, Manipur, December 2-4, 2015. Title of Paper “Pseudo Orbit Tracing Property in Product Dynamical Systems”

  • Paper Presented “International Conference on Frontiers in Mathematics”Department of Mathematics, Gauhati University, March 26-28, 2015. Title of Paper “Sequence Dynamical Systems''

  • Paper presented “Indian Science Congress, North East Region, Imphal Cpapetr”Manipur University, January 21-23, 2015. Title of Paper “Entropy of Golden Mean Lookalike Shift Spaces”

  • Organized national conference entitled “Three Days National Conference on International Pi Day, Department of Mathematics, Manipur University, March 12-14, 2022.

  • Jointly organized two days workshop “National Workshop on Mathematical Analysis” Department of Mathematics & Computer Science, Mizoram University, March 7-8, 2013.

  • Organized two days workshop “National Workshop on Dynamical Systems”
    Dept. of Mathematics & Computer Science, Mizoram University, November 25-26, 2013.

  • Participated in the “International Conference on Operator theory and related areas”.
    University of Delhi, January 9-12, 2008

  • Participated “ATML on Linear Algebra”
    IIT-Guwahati, July 5-17, 2010

  • Participated “International Congress for Mathematicians”
    Hyderabad, August 19-27, 2010.

  • Participated “Workshop on Hamiltonian Dynamics”
    Fields Institute, University of Toronto, Canada, June 11-18. 2011

  • Participated “ATMW Riemannian Geometry”,

  • TIFR-CAM, Bangalore, July 16-28, 2012

  • Paper Presented “ICTS Program on Recent Trends in Ergodic Theory & Dynamical System” MS University of Baroda, December 18-29 2012. Title of Paper “Equicontinuity and Minimality of Limit Function”

  • Paper Presented “Indian Science Congress, North East Region, Imphal Chapter” Manipur University, December 30-31, 2013. Title of Paper: Product dynamical systems.

UGC-Faculty Improvement Program:

 

  • Participated in “Orientation on Humane Development and Information Technology”.
    Manipur University,18th Dec.2009 To 14th Jan 2010.

  • Participated “Refresher Course in Mathematics”
    North Eastern Hill University (NEHU) 25th Nov. To 15 Dec. 2010.

Reviewed Research Paper:

 

I have reviewed many research papers in the following journals.

  • Qualitative Theory of Dynamical Systems

  • Applied General Topology

  • Nonlinear Functional Analysis and Applications

  • South East Asian Journal of Mathematics and Mathematical Sciences.

  • Journal of Mathematical Physics

  • Proceedings of the American Mathematical Society

  • Journal of Physics A: Mathematical and Theoretical

  • Bulletin of Mathematical Sciences