Module NameDownload


Sl.No Chapter Name MP4 Download
1Examples of Nonlinear Physical SystemsDownload
2Math Preliminaries- Part 01Download
3Math Preliminaries- Part 02Download
4Math Preliminaries- Part 03Download
5Lipschitz Continuity and Contraction Mapping Theorem-Part 01Download
6Lipschitz Continuity and Contraction Mapping Theorem-Part 02Download
7Lipschitz Continuity and Contraction Mapping Theorem-Part 03Download
8Existence and Uniqueness Theorem of ODE.-Part 01Download
9Existence and Uniqueness Theorem of ODE.-Part 02Download
10Existence and Uniqueness Theorem of ODE.-Part 03Download
11Existence and Uniqueness Theorem of ODE.-Part 04Download
12Equilibrium PointsDownload
13Phase Portrait - Part 01Download
14Phase Portrait - Part 02Download
15Phase Portrait - Part 03Download
16Phase portrait of Nonlinear Systems: ExamplesDownload
17Limit CyclesDownload
18Limit Cycles- Examples (Part 1)Download
19Limit Cycles- Examples (Part 2)Download
20Introduction to Bifurcation Theory 1Download
21Introduction to Bifurcation Theory 2Download
22Necessary and Sufficient Conditions for Local Bifurcation.Download
23Problems on Bifurcation Theory.Download
24Stability Notions: Lyapunov and LaSalle's theorem-Part 01Download
25Stability Notions: Lyapunov and LaSalle's theorem-Part 02Download
26Stability Notions: Lyapunov and LaSalle's theorem-Part 03Download
27Stability Notions: Lyapunov and LaSalle's theorem-Part 04Download
28Stability Analysis and types of stabilityDownload
29Lypaunov StabilityDownload
30Supplementary lecture: Comparison Lemma and Lyapunov StabilityDownload
31Center Manifold TheoremDownload

Sl.No Chapter Name English
1Examples of Nonlinear Physical SystemsPDF unavailable
2Math Preliminaries- Part 01PDF unavailable
3Math Preliminaries- Part 02PDF unavailable
4Math Preliminaries- Part 03PDF unavailable
5Lipschitz Continuity and Contraction Mapping Theorem-Part 01PDF unavailable
6Lipschitz Continuity and Contraction Mapping Theorem-Part 02PDF unavailable
7Lipschitz Continuity and Contraction Mapping Theorem-Part 03PDF unavailable
8Existence and Uniqueness Theorem of ODE.-Part 01PDF unavailable
9Existence and Uniqueness Theorem of ODE.-Part 02PDF unavailable
10Existence and Uniqueness Theorem of ODE.-Part 03PDF unavailable
11Existence and Uniqueness Theorem of ODE.-Part 04PDF unavailable
12Equilibrium PointsPDF unavailable
13Phase Portrait - Part 01PDF unavailable
14Phase Portrait - Part 02PDF unavailable
15Phase Portrait - Part 03PDF unavailable
16Phase portrait of Nonlinear Systems: ExamplesPDF unavailable
17Limit CyclesPDF unavailable
18Limit Cycles- Examples (Part 1)PDF unavailable
19Limit Cycles- Examples (Part 2)PDF unavailable
20Introduction to Bifurcation Theory 1PDF unavailable
21Introduction to Bifurcation Theory 2PDF unavailable
22Necessary and Sufficient Conditions for Local Bifurcation.PDF unavailable
23Problems on Bifurcation Theory.PDF unavailable
24Stability Notions: Lyapunov and LaSalle's theorem-Part 01PDF unavailable
25Stability Notions: Lyapunov and LaSalle's theorem-Part 02PDF unavailable
26Stability Notions: Lyapunov and LaSalle's theorem-Part 03PDF unavailable
27Stability Notions: Lyapunov and LaSalle's theorem-Part 04PDF unavailable
28Stability Analysis and types of stabilityPDF unavailable
29Lypaunov StabilityPDF unavailable
30Supplementary lecture: Comparison Lemma and Lyapunov StabilityPDF unavailable
31Center Manifold TheoremPDF unavailable


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