Publications


MixItUp Demo - Toggle Filtering AND Logic



Complex Dynamic Behavior During Transition in a Solid Combustion Model

Complexity, , , 2009


Status: Published

Citations: 3

Cite: [bibtex]


My Image

Abstract: Through examples in a free-boundary model of solid combustion, this study concerns nonlinear transition behavior of small disturbances of front propagation and temperature as they evolve in time. This includes complex dynamics of period doubling, and quadrupling, and it eventually leads to chaotic oscillations. Within this complex dynamic domain we also observe a period six-folding. Both asymptotic and numerical solutions are studied.We show that for special parameters our asymptotic method with some dominant modes captures the formation of coherent structures. Finally, we discuss possible methods to improve our prediction of the solutions in the chaotic case.



[edit database entry]
Stacks Image 525289
(null)

  • Stacks Image 525371
    (null)
  • Stacks Image 525379
    (null)
  • Stacks Image 525375
    (null)


Stacks Image 525306
(null)

  • Stacks Image 525319
    (null)
  • Stacks Image 525314
    (null)
  • Stacks Image 525310
    (null)


Stacks Image 525327
(null)

  • Stacks Image 525331
    (null)
  • Stacks Image 525335
    (null)
  • Stacks Image 525339
    (null)


Stacks Image 525346
(null)

  • Stacks Image 525350
    (null)
  • Stacks Image 525354
    (null)
  • Stacks Image 525358
    (null)


Stacks Image 525386
(null)

  • Stacks Image 525390
    (null)
  • Stacks Image 525394
    (null)
  • Stacks Image 525398
    (null)