0000000000350515

AUTHOR

Paul Glendinning

showing 2 related works from this author

Emergence of hierarchical networks and polysynchronous behaviour in simple adaptive systems

2011

We describe the dynamics of a simple adaptive network. The network architecture evolves to a number of disconnected components on which the dynamics is characterized by the possibility of differently synchronized nodes within the same network (polysynchronous states). These systems may have implications for the evolutionary emergence of polysynchrony and hierarchical networks in physical or biological systems modeled by adaptive networks.

Network architectureSimple (abstract algebra)Computer scienceDistributed computingAdaptive systemFOS: Physical sciencesGeneral Physics and AstronomyAdaptation and Self-Organizing Systems (nlin.AO)Nonlinear Sciences - Adaptation and Self-Organizing SystemsEPL (Europhysics Letters)
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Lyapunov exponent and topological entropy plateaus in piecewise linear maps

2013

We consider a two-parameter family of piecewise linear maps in which the moduli of the two slopes take different values. We provide numerical evidence of the existence of some parameter regions in which the Lyapunov exponent and the topological entropy remain constant. Analytical proof of this phenomenon is also given for certain cases. Surprisingly however, the systems with that property are not conjugate as we prove by using kneading theory.

Statistics and ProbabilityMathematical analysisGeneral Physics and AstronomyStatistical and Nonlinear PhysicsTopological entropyLyapunov exponentTopological entropy in physicsModuliPiecewise linear functionsymbols.namesakeModeling and SimulationsymbolsConstant (mathematics)Mathematical PhysicsMathematicsJournal of Physics A: Mathematical and Theoretical
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