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14 de may. de 2024 · In this chapter we introduce core concepts, like attractors and Lyapunov exponents, bifurcations, and deterministic chaos from the realm of dynamical systems theory. An introduction to catastrophe theory will be provided together with the notion of rate-induced tipping and colliding attractors.
16 de may. de 2024 · Charles Bonnet, Swiss naturalist and philosophical writer who discovered parthenogenesis (reproduction without fertilization), developed the catastrophe theory of evolution, and first described a hallucinatory condition that would later bear his name.
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Hace 5 días · Catastrophe theory: Methodology, epistemology, and applications in learning science. In Koopmans M., Stamovlasis D. (Eds.), Complex dynamical systems in education: Concepts, methods, and applications (pp. 141–175).
6 de may. de 2024 · The Iron Catastrophe theory proposes that iron sank to the core during the formation of the Earth, leaving a residual amount in the crust. On the other hand, the volcanic transport hypothesis suggests that iron-rich magma from the mantle has continuously transported iron to the surface through volcanic activity.
Hace 3 días · Chaos theory is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. These were once thought to have completely random states of disorder and irregularities. [1]
5 de may. de 2024 · Catastrophe theory provides a systematic classification of sudden changes from one stable condition to another, applicable to phenomena as disparate as the freezing of a liquid, the collapse of an empire, the buckling of metal, or a prison riot. Developed by ...
13 de may. de 2024 · In this section, the theoretical model of rebound overload mechanism and potential function that can characterize the evolution characteristics of roof-multi-pillar-floor system are established based on the catastrophe theory. The analytical expressions of sudden jump and energy release of roof-multi-pillar-floor system are derived ...
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