On the trajectories of \(CRL\dots LR\dots R\) orbits, their period-doubling cascades and saddle-node bifurcation cascades

DOI10.1016/j.physleta.2011.02.023zbMath1242.37010OpenAlexW2066178496MaRDI QIDQ434019

Jesús San Martín, Lucía Cerrada

Publication date: 9 July 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.02.023

zbMATH Keywords

associated permutationperiod-doubling cascadesaddle-node bifurcation cascadesymbolic sequence

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

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• Travelling waves associated with saddle-node bifurcation in weakly coupled CML
• Period-doubling cascades of canards from the extended Bonhoeffer-van der Pol oscillator
• An analytical study in coupled map lattices of synchronized states and traveling waves, and of their period-doubling cascades
• The universal cardinal ordering of fixed points
• Composition law of cardinal ordering permutations
• The universal metric properties of nonlinear transformations
• Quantitative universality for a class of nonlinear transformations
• Intermittency cascade
• On finite limit sets for transformations on the unit interval
• Topological analysis of chaotic dynamical systems
• Topological invariants in period-doubling cascades
• Quantum measurement and entropy production

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