Results 181 to 190 of about 470 (216)
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SIAM Journal on Mathematical Analysis, 1986
The main result concerns a smooth map T of a Banach space X into itself which has an unstable fixed point \(x_ 0\). We prove that if the spectral radius \(\lambda_ 0\) of the Fréchet derivative of T at \(x_ 0\) is an eigenvalue which exceeds one and appropriate additional assumptions hold, then there is a smooth invariant curve emanating from \(x_ 0 ...
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The main result concerns a smooth map T of a Banach space X into itself which has an unstable fixed point \(x_ 0\). We prove that if the spectral radius \(\lambda_ 0\) of the Fréchet derivative of T at \(x_ 0\) is an eigenvalue which exceeds one and appropriate additional assumptions hold, then there is a smooth invariant curve emanating from \(x_ 0 ...
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Invariant Signatures of Closed Planar Curves
Journal of Mathematical Imaging and Vision, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MUSSO E, NICOLODI, Lorenzo
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Discontinuous Invariant Curves and Their Bifurcations
International Journal of Bifurcation and ChaosClosed invariant curves play a central role in the dynamics of smooth and piecewise-smooth continuous maps, where they are closely associated with quasi-periodicity, mode-locking, and the onset of chaos. In this paper, we extend the concept of mode-locked (resonant) closed invariant curves to piecewise-smooth discontinuous maps, where invariant sets ...
Viktor Avrutin, Zhanybai T. Zhusubaliyev
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Geometric Invariant Curve and Surface Normalization [PDF]
In this work, a geometric invariant curve and surface normalization method is presented. Translation, scale and shear are normalized by Principal Component Analysis (PCA) whitening. Independent Component Analysis (ICA) and the third order moments are then employed for rotation and reflection normalization.
Sait Sener, Mustafa Unel
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Invariance for Single Curved Manifold
2012 25th SIBGRAPI Conference on Graphics, Patterns and Images, 2012Recently, it has been shown that, for Lambert illumination model, solely scenes composed by developable objects with a very particular albedo distribution produce an (2D) image with isolines that are (almost) invariant to light direction change. In this work, we provide and investigate a more general framework, and we show that, in general, the ...
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Noise-resistant invariants of curves
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1993Projective invariants are shape descriptors that are independent of the point of view from which the shape is seen, and, therefore, are of major importance in object recognition. They make it possible to match an image of an object to one stored in a database without the need for searching for the correct viewpoint.
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IS THE SERIAL‐POSITION CURVE INVARIANT?
British Journal of Psychology, 1962The evidence presented by McCrary & Hunter and later researchers, which suggests that the form of the serial‐position curve is constant throughout variations in a large number of factors that affect rate of learning, has been found inadequate to answer the question of the curve's invariance.
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Bifurcations of invariant curves of a difference equation
Applied Mathematics and Mechanics, 2001Bifurcation of the invariant curves of a difference equation is studied. The system defined by the difference equation is integrable, so the study of the invariant curves of the difference system can become the study of topological classification of the planar phase portraits defined by a planar Hamiltonian system.
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THE BASIC INVARIANTS OF LONG CURVE AND CLOSED CURVE PERESTROIKAS
Journal of Knot Theory and Its Ramifications, 1998We give the relations between invariants of closed curves and that of long curves. By these relations we study all extremal values of invariants of long curves via which of closed curves and give the explicite formulas for these extremal values.
Zhou, Jianyi +2 more
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Pseudoautomorphisms with Invariant Curves
2015Inspired by constructions of automorphisms on rational surfaces and a recent paper of Perroni and Zhang (Mathematische Annalen 359(1–2):189–209, 2014), we give a concrete construction of pseudoautomorphisms of higher dimensional rational surfaces that have an invariant cuspidal curve and first dynamical degree larger than one.
Eric Bedford +2 more
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