Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2009-01-29
Physica D 238 (2009) 1752-1767
Nonlinear Sciences
Adaptation and Self-Organizing Systems
Latex file, 58 pages, 29 figures. Published variant
Scientific paper
A new delay equation is introduced to describe the punctuated evolution of complex nonlinear systems. A detailed analytical and numerical investigation provides the classification of all possible types of solutions for the dynamics of a population in the four main regimes dominated respectively by: (i) gain and competition, (ii) gain and cooperation, (iii) loss and competition and (iv) loss and cooperation. Our delay equation may exhibit bistability in some parameter range, as well as a rich set of regimes, including monotonic decay to zero, smooth exponential growth, punctuated unlimited growth, punctuated growth or alternation to a stationary level, oscillatory approach to a stationary level, sustainable oscillations, finite-time singularities as well as finite-time death.
Sornette Didier
Yukalov V. I.
Yukalova E. P.
No associations
LandOfFree
Punctuated evolution due to delayed carrying capacity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Punctuated evolution due to delayed carrying capacity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Punctuated evolution due to delayed carrying capacity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-13819