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The double-rod pendulum is one of the simplest dynamical systems with chaotic solutions. Chaos theory (or chaology [1]) 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.
Even though the idea of the edge of chaos is an abstract one, it has many applications in such fields as ecology, [3] business management, [4] psychology, [5] political science, and other domains of the social sciences. Physicists have shown that adaptation to the edge of chaos occurs in almost all systems with feedback.
Degenerate was explained by saying that the pathway can be jointly determined by multiple causes and isn't determined by just one thing. This joint determination by multiple causality is one major theme of developmental systems theory that also overlaps with the dynamical systems theory by Esther Thelen. An example of how multiple causes can ...
Systems psychology is a branch of both theoretical psychology and applied psychology that studies human behaviour and experience as complex systems. It is inspired by systems theory and systems thinking , and based on the theoretical work of Roger Barker , Gregory Bateson , Humberto Maturana and others. [ 1 ]
Dynamical systems theory and chaos theory deal with the long-term qualitative behavior of dynamical systems.Here, the focus is not on finding precise solutions to the equations defining the dynamical system (which is often hopeless), but rather to answer questions like "Will the system settle down to a steady state in the long term, and if so, what are the possible steady states?", or "Does ...
Chaos Theory is a concept taken from the physical sciences. It challenges models that postulate linear and sequential processes, and instead suggests that development is inherently unpredictable. Chaos theory argues that it's unrealistic for a system to go through deterministic, predictable, and repeated stages.
Systems theory is manifest in the work of practitioners in many disciplines, for example the works of physician Alexander Bogdanov, biologist Ludwig von Bertalanffy, linguist Béla H. Bánáthy, and sociologist Talcott Parsons; in the study of ecological systems by Howard T. Odum, Eugene Odum; in Fritjof Capra's study of organizational theory; in the study of management by Peter Senge; in ...
In lab experiments that study chaos theory, approaches designed to control chaos are based on certain observed system behaviors. Any chaotic attractor contains an infinite number of unstable, periodic orbits. Chaotic dynamics, then, consists of a motion where the system state moves in the neighborhood of one of these orbits for a while, then ...