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Head direction cells use a head-referenced dual-axis updating rule in 3D space
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Attractors and quasi-attractors of a flow
Journal of Applied Mathematics and Computing, 2007In this paper, the connection among the attractor, the attractor neighborhood and the domain of influence are investigated. A necessary and sufficient condition of the existence of the quasi-attractor is established. Some results of Conley in [2] are generalized.
Chunyan Zuo, Xiaoxia Wang
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Journal of Dynamics and Differential Equations, 1997
Every scientist interested in the behavior of dynamical systems knows that this is one of the most important subjects of mathematical physics. It is also well-known that good results can be obtained by studying the global attractor of such a deterministic dynamical system.
Crauel, Hans +2 more
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Every scientist interested in the behavior of dynamical systems knows that this is one of the most important subjects of mathematical physics. It is also well-known that good results can be obtained by studying the global attractor of such a deterministic dynamical system.
Crauel, Hans +2 more
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Fractals, 1995
When a chaotic signal is used to force a switching-type variable which dependent on the momentary magnitude of the chaotic stimulus either shows a damped or an autocatalytic response, a new dynamical phenomenon arises. It is reminiscent of the “flares” observed in astrophysical situations.
Otto E. Rössler, Georg C. Hartmann
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When a chaotic signal is used to force a switching-type variable which dependent on the momentary magnitude of the chaotic stimulus either shows a damped or an autocatalytic response, a new dynamical phenomenon arises. It is reminiscent of the “flares” observed in astrophysical situations.
Otto E. Rössler, Georg C. Hartmann
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Applied Mathematics and Mechanics, 1997
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Liu Zengrong +3 more
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Liu Zengrong +3 more
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Ergodic Theory and Dynamical Systems, 1996
AbstractWe prove for a large class of compact metric spaces, including those manifolds of dimension at least two, Hilbert cube manifolds, and homogeneous Menger manifolds, that ‘most’ self-homeomorphisms (in the sense of residual set of homeomorphisms) have certain properties.
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AbstractWe prove for a large class of compact metric spaces, including those manifolds of dimension at least two, Hilbert cube manifolds, and homogeneous Menger manifolds, that ‘most’ self-homeomorphisms (in the sense of residual set of homeomorphisms) have certain properties.
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Chaos, Solitons & Fractals, 1994
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Is there a climatic attractor?
Nature, 1984Much of our information on climatic evolution during the past million years comes from the time series describing the isotope record of deep-sea cores. A major task of climatology is to identify, from this apparently limited amount of information, the essential features of climate viewed as a dynamic system.
Nicolis, Catherine, Nicolis, Grégoire
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Some properties of attractors and quasi-attractors
Chaos, Solitons & Fractals, 2007Abstract In the study of the complexity of a dynamical system defined on a compact metric space X, the attractors and quasi-attractors are the objects of fundamental interest. In this paper, we shall give some properties of attractors and quasi-attractors. Finally, the Conley’s strong stability property will be improved.
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