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Title: Kinematics in Biology: Symbolic Dynamics Approach
Authors: Correia Ramos, C.
Keywords: complex movement
iterated maps of the interval
symbolic dynamics
kneading sequences
topological entropy
Issue Date: 4-Mar-2020
Publisher: MDPI
Citation: Correia Ramos, C. Kinematics in Biology: Symbolic Dynamics Approach. Mathematics 2020, 8, 339.
Abstract: Motion in biology is studied through a descriptive geometrical method. We consider a deterministic discrete dynamical system used to simulate and classify a variety of types of movements which can be seen as templates and building blocks of more complex trajectories. The dynamical system is determined by the iteration of a bimodal interval map dependent on two parameters, up to scaling, generalizing a previous work. The characterization of the trajectories uses the classifying tools from symbolic dynamics—kneading sequences, topological entropy and growth number. We consider also the isentropic trajectories, trajectories with constant topological entropy, which are related with the possible existence of a constant drift. We introduce the concepts of pure and mixed bimodal trajectories which give much more flexibility to the model, maintaining it simple. We discuss several procedures that may allow the use of the model to characterize empirical data
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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