COMPUTING LYAPUNOV EXPONENTS IN COUPLED MAP LATTICE FOR CONTROLLING SPATIOTEMPORAL CHAOS

Keywords

Lyapunov exponent, Coupled map lattice, Jacobian matrix and determinant, Ergodic theory, Mathematics

References

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• Universality in turbulenceHiroshi Shibata — 2003
• Controllability of spatiotemporal systems using constant pinningsNita Parekh, Somdatta Sinha — 2003
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• Phase diagrams in unidirectionally coupled map lattice for open traffic flowTakashi Nagatani — 2001
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• A coupled map lattice model for dendrite in diffusion fieldMasako Ohtaki, H. Honjo, Hidetsugu Sakaguchi — 2002
• Period-Doubling of Kink-Antikink Patterns, Quasiperiodicity in Antiferro-Like Structures and Spatial Intermittency in Coupled Logistic Lattice*) -- Towards a Prelude of a "Field Theory of Chaos"--Kunihiko Kaneko — 1984
• Scaling and interleaving of subsystem Lyapunov exponents for spatio-temporal systems.R. Carretero-González, S. O rstavik, J. P. Huke — 1998
• A multiplicative ergodic theorem: Lyapunov characteristic num-bers for dynamical systemsV. I. Oseledec — 1968

Cited by

• Control of spatiotemporal chaos in coupled map lattice by discrete-time variable structure controlZahra Rahmani, Mohammad Reza Jahed Motlagh — 2007
• Adaptive control of spatiotemporal chaos in coupled map latticesZahra Rahmani, Mohammad Reza Jahed Motlagh — 2009

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