Chaotic Pulses for Discrete Reaction Diffusion Systems

DOI10.1137/040608714zbMath1170.35459OpenAlexW1964872914MaRDI QIDQ5700611

Yasumasa Nishiura, Tatsuo Yanagita, Daishin Ueyama

Publication date: 28 October 2005

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://ir.lib.hiroshima-u.ac.jp/files/public/1/14679/20141016121840221003/SIAM_J_AppDynSys4_723.pdf

zbMATH Keywords

chaosdissipative systemsbifurcation theorylocalized pulselattice differential equation (LDE)

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Numerical chaos (65P20) Bifurcations in context of PDEs (35B32) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (4)

Weak intermittency of stochastic heat equation under discretizations ⋮ BIFURCATION ANALYSIS OF THE QUASI-PERIODIC SOLUTION WITH THREE-PHASE SYNCHRONIZED ENVELOPES IN A RING OF THREE-COUPLED, BISTABLE OSCILLATORS ⋮ BIFURCATION ANALYSIS OF THE PROPAGATING WAVE AND THE SWITCHING SOLUTIONS IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS — BIFURCATION STARTING FROM TYPE 2 STANDING WAVE SOLUTION ⋮ Chaotic diffusion of dissipative solitons: from anti-persistent random walks to hidden Markov models

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