David Hilbert's Sixteenth Problem requires a BIG SOLUTION!

David Hilbert's Sixteenth Problem requires a BIG SOLUTION!

Postby Guest » Sat Sep 21, 2019 12:12 am

Right?

Relevant Reference Link:

'Hilbert's Sixteenth Problem',

https://en.wikipedia.org/wiki/Hilbert%27s_sixteenth_problem.
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Re: David Hilbert's Sixteenth Problem requires a BIG SOLUTIO

Postby Guest » Sun Sep 22, 2019 11:49 am

FYI: 'Notes on the Topology of Vector Fields and Flow' by Prof. D. Asimov,

https://www.nas.nasa.gov/assets/pdf/techreports/1993/rnr-93-003.pdf.
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Re: David Hilbert's Sixteenth Problem requires a BIG SOLUTIO

Postby Guest » Sun Sep 22, 2019 2:47 pm

Hmm. We must solve our beautiful and important problem (Hilbert's 16th Problem) asap. And we expect a complete solution within 48 (D. H.) months...

Dave.
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Re: David Hilbert's Sixteenth Problem requires a BIG SOLUTIO

Postby Guest » Tue Sep 24, 2019 3:16 pm

Guest wrote:FYI: 'Notes on the Topology of Vector Fields and Flow' by Prof. D. Asimov,

https://www.nas.nasa.gov/assets/pdf/techreports/1993/rnr-93-003.pdf.


Relevant Reference Link:

'CENTENNIAL HISTORY OF HILBERT'S 16TH PROBLEM', by Prof. YU. ILYASHENKO,

https://pdfs.semanticscholar.org/a34f/e20384708d946c262bc267d6169486c6efd2.pdf.
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Re: David Hilbert's Sixteenth Problem requires a BIG SOLUTIO

Postby Guest » Thu Sep 26, 2019 4:54 pm

Guest wrote:
Guest wrote:FYI: 'Notes on the Topology of Vector Fields and Flow' by Prof. D. Asimov,

...


Relevant Reference Link:

'CENTENNIAL HISTORY OF HILBERT'S 16TH PROBLEM', by Prof. YU. ILYASHENKO,

https://pdfs.semanticscholar.org/a34f/e20384708d946c262bc267d6169486c6efd2.pdf.


Relevant Reference Link:

'Around Hilbert Sixteenth Problem', by Prof. YU. ILYASHENKO,

http://www.wisdom.weizmann.ac.il/~yakov/ftpapers/Book/intro.pdf.
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Re: David Hilbert's Sixteenth Problem requires a BIG SOLUTIO

Postby Guest » Fri Sep 27, 2019 9:16 am

An Update:

'Around Hilbert Sixteenth Problem', by Prof. YU. ILYASHENKO and Prof. S. YAKOVENKO,

https://pdfs.semanticscholar.org/a34f/e20384708d946c262bc267d6169486c6efd2.pdf.
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David Hilbert's Sixteenth Problem requires a BIG SOLUTION!

Postby Guest » Fri Oct 11, 2019 10:44 pm

Guest wrote:FYI: 'Notes on the Topology of Vector Fields and Flow' by Prof. D. Asimov,

https://www.nas.nasa.gov/assets/pdf/techreports/1993/rnr-93-003.pdf.


Relevant Reference Link:

'Lectures on Periodic Orbits',

http://www.cds.caltech.edu/archive/help/uploads/wiki/files/224/cds140b-perorb.pdf.

Remark: Hilbert's 16th problem is quite difficult, but we are very confident the problem is solvable. And we are working hard to achieve a complete solution asap.

Dave.
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Re: David Hilbert's Sixteenth Problem requires a BIG SOLUTIO

Postby Guest » Sat Oct 12, 2019 10:11 pm

FYI: 'Limit Cycles of a Class of Hilbert’s Sixteenth Problem Presented by Fractional Differential Equations' by Profs., G. H. Erjaee, H. R. Z. Zangeneh, and N. Nyamoradi,

https://www.researchgate.net/publication/44848881_Limit_Cycles_of_a_Class_of_Hilbert's_Sixteenth_Problem_Presented_by_Fractional_Differential_Equations.
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David Hilbert's Sixteenth Problem requires a BIG SOLUTION!

Postby Guest » Sun Oct 13, 2019 8:55 pm

Guest wrote: Relevant Reference Link:

'HILBERT’S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS' by Prof. JIBIN LI,

https://www.semanticscholar.org/paper/Hilbert's-16th-Problem-and-bifurcations-of-Planar-Li/88ebdf59feca07e9f23a2eba6fe7ebdfe064057b.
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Re: David Hilbert's Sixteenth Problem requires a BIG SOLUTIO

Postby Guest » Mon Oct 14, 2019 9:58 pm

Relevant Reference Link:

'HILBERT’S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS' by Prof. JIBIN LI,

https://www.semanticscholar.org/paper/Hilbert's-16th-Problem-and-bifurcations-of-Planar-Li/88ebdf59feca07e9f23a2eba6fe7ebdfe064057b.

According to Prof. J. Li's excellent paper, we must solve four subproblems, A, B, C, and D, to solve Hilbert's 16th Problem. Please refer to the link above for details.

And they are quite difficult, but we have almost 48 months to complete our work. We can do this! So please keep the faith and keep working hard.
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Re: David Hilbert's Sixteenth Problem requires a BIG SOLUTIO

Postby Guest » Tue Oct 15, 2019 2:49 am

FYI: 'Finiteness Theorems for Limit Cycles' by Prof. Yu. S. Ilyashenko,

http://www.dyn-sys.org/public/finiteness2014/lecture1.pdf.
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