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Advanced synergetics. Instability hierarchies of self-organizing systems and devices. (English) Zbl 0521.93002

Springer Series in Synergetics, Vol. 20. Berlin etc.: Springer-Verlag. xv, 356 pp. DM 98.00; $ 38.90 (1983).

MSC:

00A69 General applied mathematics
37-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory
34-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations
68T05 Learning and adaptive systems in artificial intelligence
58E07 Variational problems in abstract bifurcation theory in infinite-dimensional spaces
37C75 Stability theory for smooth dynamical systems
37G99 Local and nonlocal bifurcation theory for dynamical systems
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations
34D30 Structural stability and analogous concepts of solutions to ordinary differential equations
70K20 Stability for nonlinear problems in mechanics
70K50 Bifurcations and instability for nonlinear problems in mechanics
82B05 Classical equilibrium statistical mechanics (general)
93C15 Control/observation systems governed by ordinary differential equations
93C40 Adaptive control/observation systems
93C55 Discrete-time control/observation systems
93D99 Stability of control systems
93E03 Stochastic systems in control theory (general)
34F05 Ordinary differential equations and systems with randomness
93A13 Hierarchical systems