Phase transition for piecewise linear fibonacci bimodal map
Copyright policy )Phase transition for piecewise linear fibonacci bimodal map
<abstract><p>In this paper we concern with the Fibonacci bimodal maps. We first study the topological properties of the Fibonacci bimodal maps in the context of kneading map and give an equivalent description of Fibonacci combinatorics. Then we construct a one-parameter family $ f_{\lambda} $ of countably piecewise linear Fibonacci bimodal maps depending on the parameter $ \lambda $ which are all odd functions. By a random walk argument on its induced Markov map, we will show that a phase transition occurs from Lebesgue conservative to Lebesgue dissipative behaviors.</p></abstract>
- University of Science and Technology of China China (People's Republic of)
- Zhengzhou University China (People's Republic of)
Dissipative system, Lebesgue measure, Lebesgue integration, Mathematical analysis, Quantum mechanics, Context (archaeology), QA1-939, FOS: Mathematics, Theory and Applications of Cellular Automata, piecewise linear modal, Biology, Mathematical Physics, Lambda, markov process, Fibonacci Numbers, invariant measure, Countable set, cantor attractor, Physics, Pure mathematics, Fibonacci number, Paleontology, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Discrete mathematics, Physics and Astronomy, Computational Theory and Mathematics, Combinatorics, Piecewise, Piecewise linear function, fibonacci combinatorics, Dynamical Systems and Chaos Theory, Physical Sciences, Computer Science, Mathematics
Dissipative system, Lebesgue measure, Lebesgue integration, Mathematical analysis, Quantum mechanics, Context (archaeology), QA1-939, FOS: Mathematics, Theory and Applications of Cellular Automata, piecewise linear modal, Biology, Mathematical Physics, Lambda, markov process, Fibonacci Numbers, invariant measure, Countable set, cantor attractor, Physics, Pure mathematics, Fibonacci number, Paleontology, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Discrete mathematics, Physics and Astronomy, Computational Theory and Mathematics, Combinatorics, Piecewise, Piecewise linear function, fibonacci combinatorics, Dynamical Systems and Chaos Theory, Physical Sciences, Computer Science, Mathematics
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