论文信息 - On Persistence and stability of Coupled Map Lattices

On Persistence and stability of Coupled Map Lattices

Linear stability of homogeneous and inhomogeneous steady state solutions for coupled map lattices (CML) are studied. Some persistence problems in CML are discussed and applied to immune and an economic models. The stability results are applied to CML motivated by forced circle map, Winfree model, Josephson junction arrays and an ecological CML model. Global stability results for some CML systems are given.

Elsayed Ahmed | Ahmed Sadek Hegazi

[1] Wenxian Shen,et al. Dynamics in a Discrete Nagumo Equation: Spatial Topological Chaos , 1995, SIAM J. Appl. Math..

[2] Kondalsamy Gopalsamy,et al. Persistence and Global Stability in a Population Model , 1998 .

[3] Neelima Gupte,et al. Synchronicity in coupled sine circle maps; some numerical results , 1996 .

[4] Adam Ostaszewski,et al. On a Difference-Delay Equation , 2000 .

[5] Richard V. Solé,et al. Order and chaos in a 2D Lotka-Volterra coupled map lattice , 1991 .

[6] Jim M Cushing,et al. A chaotic attractor in ecology: theory and experimental data , 2001 .

[7] Valentin Afraimovich,et al. Topological properties of linearly coupled expanding map lattices , 2000 .

[8] Grebogi,et al. Evolution of attractors in quasiperiodically forced systems: From quasiperiodic to strange nonchaotic to chaotic. , 1989, Physical review. A, General physics.

[9] Andrew M. Stuart,et al. Nonlinear Instability in Dissipative Finite Difference Schemes , 1989, SIAM Rev..