# David Hilbert's Sixteenth Problem requires a BIG SOLUTION!

### David Hilbert's Sixteenth Problem requires a BIG SOLUTION!

Right?

'Hilbert's Sixteenth Problem',

https://en.wikipedia.org/wiki/Hilbert%27s_sixteenth_problem.
Guest

Guest

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

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.
Guest

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

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.
Guest

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

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.

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

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

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

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

...

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

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

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

http://www.wisdom.weizmann.ac.il/~yakov/ftpapers/Book/intro.pdf.
Guest

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

An Update:

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

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

### David Hilbert's Sixteenth Problem requires a BIG SOLUTION!

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.

'Lectures on Periodic Orbits',

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.
Guest

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

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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Guest

### David Hilbert's Sixteenth Problem requires a BIG SOLUTION!

'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.
Guest

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

'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.
Guest

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

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

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