Kaija Saariaho - Kaija Saariaho: Graal Théâtre, Circle Map, Neiges, Vers toi qui es si loin. Peter Herresthal, violin/Oslo Philharmonic/Clément Mao-Takacs, conductor. BIS 2402.

I focus on the temporal dynamics generated by a life cycle consisting of two contiguous stages developing under the influence of a stimulus which pulsates between on and off. I ask: under what general conditions does a population held in exposure to this kind of periodic stimulus achieve life cycle synchrony? The situation is represented by a dynamical system consisting of a nondecreasing circle map whose plot is made up of 45° and horizontal piecewise-linear sections. These features permit the iterative dynamics (itineraries) followed by successive generations to be derived and algebraic conditions for high-ordered synchronization to be derived. Using development data obtained for the phytoplankton Thalassiorira pseudonana and mean daily irradiation intensities recorded over different months at the latitude of Oban (west coast of Scotland), I apply the model to investigate how seasonal change in daily irradiance may directly influence the synchronous dynamics of such populations.

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Quantum revivals, geometric phases and circle map recurrences

Physics Letters A ◽

10.1016/s0375-9601(99)00213-3 ◽

1999 ◽

Vol 256 (1) ◽

pp. 15-19 ◽

Cited By ~ 5

Author(s):

S. Seshadri ◽

S. Lakshmibala ◽

V. Balakrishnan

Keyword(s):

Circle Map ◽

Geometric Phases ◽

Quantum Revivals

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Study of Phase Circle Map Model and its Symbolic dynamics

Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering ◽

10.2991/eame-15.2015.198 ◽

2015 ◽

Cited By ~ 1

Author(s):

Z. Chen ◽

S.W. Pan

Keyword(s):

Symbolic Dynamics ◽

Circle Map

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ROTATION SETS FOR ORBITS OF DEGREE ONE CIRCLE MAPS

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127402004437 ◽

2002 ◽

Vol 12 (02) ◽

pp. 429-437

Author(s):

LLUÍS ALSEDÀ ◽

FRANCESC MAÑOSAS ◽

MOIRA CHAS

Keyword(s):

Circle Map ◽

Circle Maps ◽

Rotation Interval ◽

The One ◽

Rotation Set ◽

Dynamical Information

Let F be the lifting of a circle map of degree one. In [Bamón et al., 1984] a notion of F-rotation interval of a point [Formula: see text] was given. In this paper we define and study a new notion of a rotation set of point which preserves more of the dynamical information contained in the sequences [Formula: see text] than the one preserved from [Bamón et al., 1984]. In particular, we characterize dynamically the endpoints of these sets and we obtain an analogous version of the Main Theorem of [Bamón et al., 1984] in our settings.

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