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Cubic differential systems with two invariant straight lines of multiplicity m﴾6,1
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Cubic differential systems with two invariant straight lines of multiplicity m﴾2;5
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Integrability of cubic differential systems with the maximum number of invariant straight lines
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Homoclinic bifurcation near a loop tangent to an invariant straight line
Journal of Differential EquationsThis paper is concerned with homoclinic bifurcation of near-Hamiltonian systems. The authors provide a method for studying homoclinic bifurcation by using different order Melnikov functions for a homoclinic loop tangent to an invariant straight line in this system.
Xianbo Sun, Yun Tian, Maoan Han
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Planar quadratic differential systems with invariant straight lines of total multiplicity four
Nonlinear Analysis: Theory, Methods & Applications, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schlomiuk, Dana, Vulpe, Nicolae
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Optical/digital invariant recognition of two‐dimensional patterns with straight lines
Optical Engineering, 1996A novel optodigital pattern recognition method that has shift, rotation, and scale invariant properties is proposed for recognizing 2-D images having straight lines. The proposed method is composed of three stages. In the first stage, the line features of the image are extracted.
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Recursive Treatment of Invariance in the System of n Coplanar Straight Lines
The Mathematical Gazette, 1966(1) Definitions . In the system of n coplanar straight lines each line is produced indefinitely in both directions so that all possible points of intersection (vertices) are obtained.
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LIV: Loop-Invariant Validation Using Straight-Line Programs
2023 38th IEEE/ACM International Conference on Automated Software Engineering (ASE), 2023Dirk Beyer, Martin Spiessl
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