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1 day ago · 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]
3 days ago · The Chua circuit was invented in the fall of 1983 by the American electrical engineer and computer scientist Leon Ong Chua (born in 1936) in response to two unfulfilled quests among many researchers on chaos concerning two wanting aspects of the Lorenz equations (Lorenz, 1963).
2 days ago · The fundamental lesson of chaos theory is that the behavior of a wide range of "dynamic systems" (e.g., the atmosphere, the solar system) is extremely sensitive to minute fluxes in initial conditions, thus making it virtually impossible to obtain accurate medium- and long-term predictions.
5 days ago · According to classical physics and the laws of Isaac Newton, it should be easy to predict the behaviour of objects throughout the universe with relative ease...
2 days ago · This book discusses continuous and discrete nonlinear systems in systematic and sequential approaches. The unique feature of the book is its mathematical theories on flow bifurcations, nonlinear oscillations, Lie symmetry analysis of nonlinear systems, chaos theory, routes to chaos, and multistable coexisting attractors.
2 days ago · Chaos theory, a precursor to complexity theory, presents a unique lens through which we can examine disordered events in the universe that appear random but actually follow deeper, more complex...
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22 hours ago · In this article, we furnish a brief review of the classical theory of such Lagrangians and the associated branched Hamiltonians, starting with the example of Liénard-type systems. We then take up other cases where the Lagrangians depend on velocity with powers greater than two while still having a tractable mathematical structure, while also describing the associated branched Hamiltonians for such systems.
