Finiteness theorems for limit cycles: a digest of the revised proof

Yu S Ilyashenko

doi:10.1070/im8352

Finiteness theorems for limit cycles: a digest of the revised proof

Izvestiya Mathematics ◽

10.1070/im8352 ◽

2016 ◽

Vol 80 (1) ◽

pp. 50-112 ◽

Cited By ~ 2

Author(s):

Yu S Ilyashenko

Keyword(s):

Limit Cycles ◽

Finiteness Theorems

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Finiteness theorems for limit cycles

First Siberian Winter School “Algebra and Analysis” - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/148/06 ◽

1991 ◽

pp. 55-64 ◽

Cited By ~ 2

Author(s):

Yu. S. Il′yashenko

Keyword(s):

Limit Cycles ◽

Finiteness Theorems

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Finiteness theorems for limit cycles

Russian Mathematical Surveys ◽

10.1070/rm1990v045n02abeh002335 ◽

1990 ◽

Vol 45 (2) ◽

pp. 129-203 ◽

Cited By ~ 12

Author(s):

Yu S Il'yashenko

Keyword(s):

Limit Cycles ◽

Finiteness Theorems

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Book Review: Finiteness theorems for limit cycles

Bulletin of the American Mathematical Society ◽

10.1090/s0273-0979-1993-00329-x ◽

1993 ◽

Vol 28 (1) ◽

pp. 123-131

Author(s):

Carmen Chicone

Keyword(s):

Limit Cycles ◽

Finiteness Theorems

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Finiteness Theorems for Limit Cycles

10.1090/mmono/094 ◽

1991 ◽

Cited By ~ 66

Author(s):

Yu. Il’yashenko

Keyword(s):

Limit Cycles ◽

Finiteness Theorems

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Finiteness Theorems for Limit Cycles

Bulletin of the London Mathematical Society ◽

10.1112/blms/25.4.405 ◽

1993 ◽

Vol 25 (4) ◽

pp. 405-408

Author(s):

D. Shafer

Keyword(s):

Limit Cycles ◽

Finiteness Theorems

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NECESSARY AND SUFFICIENT CONDITIONS OF EXISTENCE AND UNIQUENESS OF LIMIT CYCLES FOR A CLASS OF POLYNOMIAL SYSTEM

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30430-2 ◽

1991 ◽

Vol 11 (1) ◽

pp. 65-71 ◽

Cited By ~ 1

Author(s):

Deming Liu

Keyword(s):

Limit Cycles ◽

Existence And Uniqueness ◽

Polynomial System ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Uniqueness Of Limit Cycles ◽

Necessary And Sufficient

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Additional properties of one-dimensional limit cycles

IEE Proceedings G (Electronic Circuits and Systems) ◽

10.1049/ip-g-1.1986.0023 ◽

1986 ◽

Vol 133 (3) ◽

pp. 140 ◽

Cited By ~ 2

Author(s):

D.C. McLernon ◽

R.A. King

Keyword(s):

Limit Cycles ◽

One Dimensional

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New result for limit cycles in two-dimensional recursive digital filters

IEE Proceedings G (Electronic Circuits and Systems) ◽

10.1049/ip-g-1.1985.0009 ◽

1985 ◽

Vol 132 (2) ◽

pp. 53 ◽

Cited By ~ 2

Author(s):

D.C. McLernon ◽

R.A. King

Keyword(s):

Limit Cycles ◽

Digital Filters ◽

Two Dimensional ◽

Recursive Digital Filters

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Invariant Sets (Limit Cycles) of Families of Autonomous Nonlinear Discrete Systems

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v45.i2.30 ◽

2013 ◽

Vol 45 (2) ◽

pp. 24-32

Author(s):

Alexey V. Kuntsevich

Keyword(s):

Limit Cycles ◽

Discrete Systems ◽

Invariant Sets ◽

Nonlinear Discrete Systems

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A mechanism for the detection and removal of limit cycles in the operation of sigma delta modulators

5th IEE International Conference on ADDA 2005. Advanced A/D and D/A Conversion Techniques and their Applications ◽

10.1049/cp:20050160 ◽

2005 ◽

Cited By ~ 1

Author(s):

J.D. Reiss

Keyword(s):

Limit Cycles ◽

Sigma Delta ◽

Sigma Delta Modulators

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