论文信息 - Characterizing self-organization and coevolution by ergodic invariants

Characterizing self-organization and coevolution by ergodic invariants

In addition to the emergent complexity of patterns that appears when many agents come in interaction, it is also useful to characterize the dynamical processes that lead to their self-organization. A set of ergodic invariants is identified for this purpose, which is computed in several examples, namely a Bernoulli network with either global or nearest-neighbor coupling, a generalized Bak–Sneppen model and a continuous minority model.

R. Vilela Mendes | R. Mendes

[1] Bak,et al. Punctuated equilibrium and criticality in a simple model of evolution. , 1993, Physical review letters.

[2] Carroll,et al. Driving systems with chaotic signals. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[3] B. M. Fulk. MATH , 1992 .

[4] P. Grassberger,et al. Problems in quantifying self-generated complexity , 1989 .

[5] Stuart A. Kauffman,et al. The origins of order , 1993 .

[6] Yi-Cheng Zhang,et al. Emergence of cooperation and organization in an evolutionary game , 1997 .

[7] W. Arthur. Inductive Reasoning and Bounded Rationality , 1994 .

[8] R. Mendes. Clustering and synchronization with positive Lyapunov exponents , 1998, adap-org/9812004.

[9] Y. Pesin. CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY , 1977 .

[10] Charles E. Taylor,et al. Artificial Life II , 1991 .

[11] Carroll,et al. Synchronization in chaotic systems. , 1990, Physical review letters.

[12] Damage spreading in the Bak-Sneppen model. , 1999 .

[13] Pierre Gaspard,et al. Chaos, Scattering and Statistical Mechanics , 1998 .

[14] V. I. Oseledec. A multiplicative ergodic theorem: Lyapunov characteristic num-bers for dynamical systems , 1968 .

[15] S. Burgard. ISR , 1999 .

[16] C. Tsallis,et al. Sensitivity to initial conditions in the Bak-Sneppen model of biological evolution , 1998 .