Results 1 to 10 of about 58,033 (264)
Extreme Multistability in Simple Area-Preserving Map [PDF]
IEEE Access, 2020 Initial condition-relied extreme multistability has been recently found in many continuous dynamical systems. However, such a specific phenomenon has not yet been discovered in a discrete iterative map. To investigate this phenomenon, this paper proposes
Houzhen Li +4 more
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Records and Occupation Time Statistics for Area-Preserving Maps
Entropy, 2023 A relevant problem in dynamics is to characterize how deterministic systems may exhibit features typically associated with stochastic processes. A widely studied example is the study of (normal or anomalous) transport properties for deterministic systems
Roberto Artuso +2 more
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Image Cryptography Based On A Second-Order QRT Difference Equation [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2022 The use of mathematical concepts of mapping in cryptography provides advantages in securing text or image data. The qualitative properties of mapping can preserve data that is kept confidential.
Agus Sutrisno +3 more
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Basin Entropy and Shearless Barrier Breakup in Open Non-Twist Hamiltonian Systems
Entropy, 2023 We consider open non-twist Hamiltonian systems represented by an area-preserving two-dimensional map describing incompressible planar flows in the reference frame of a propagating wave, and possessing exits through which map orbits can escape.
Leonardo C. Souza +3 more
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Area Preserving Brain Mapping [PDF]
2013 IEEE Conference on Computer Vision and Pattern Recognition, 2013 Brain mapping transforms the brain cortical surface to canonical planar domains, which plays a fundamental role in morphological study. Most existing brain mapping methods are based on angle preserving maps, which may introduce large area distortions. This work proposes an area preserving brain mapping method based on Monge-Brenier theory.
Zhengyu Su +5 more
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A Dichotomy in Area-Preserving Reversible Maps [PDF]
Qualitative Theory of Dynamical Systems, 2015 12 pages, 1 ...
Bessa, Mário +1 more
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Coexisting Infinite Orbits in an Area-Preserving Lozi Map
Entropy, 2020 Extreme multistability with coexisting infinite orbits has been reported in many continuous memristor-based dynamical circuits and systems, but rarely in discrete dynamical systems.
Houzhen Li +3 more
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LOCAL CONTROL OF AREA-PRESERVING MAPS [PDF]
Chaos, Complexity and Transport, 2008 We present a method of control of chaos in area-preserving maps. This method gives an explicit expression of a control term which is added to a given area-preserving map. The resulting controlled map which is a small and suitable modification of the original map, is again area-preserving and has an invariant curve whose equation is explicitly known.
Chandre, Cristel +2 more
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Arnold Tongues in Area-Preserving Maps
Archive for Rational Mechanics and Analysis, 2023 In the early 60's J. B. Keller and D. Levy discovered a fundamental property: the instability tongues in Mathieu-type equations lose sharpness with the addition of higher-frequency harmonics in the Mathieu potentials. 20 years later V. Arnold rediscovered a similar phenomenon on sharpness of Arnold tongues in circle maps (and rediscovered the result of
Mark Levi, Jing Zhou
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Determination of an appropriate projection system for forest areas in Turkey
Geodesy and Cartography, 2020 Geometrical surfaces such as sphere and ellipsoid are considered as reference surfaces since there is no geometric shape that perfectly represents the earth when translating the earth into a map plane.
Faruk Yildirim +2 more
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