Dynamical Systems

has applications to a wide variety of fields such as mathematics, physics, biology, chemistry, engineering, economics, history, and medicine

Chaos: When the present determines the future but the approximate present does not approximately determine the future.

In his research on the three-body problem, Poincaré became the first person to discover a chaotic deterministic system which laid the foundations of modern chaos theory.

is a mathematical model used in describing synchronization

is an area-preserving chaotic map

In dynamical systems theory, the baker's map is a chaotic map from the unit square into itself.

In the study of dynamical systems, the van der Pol oscillator (named for Dutch physicist Balthasar van der Pol) is a non-conservat

t the long-term behaviour of orbits of continuous dynamical systems on the plane, cylinder, or two-sphere.

currence Theorem is a foundational result in both dynamical systems and statistical mechanics.

he is well known for the Hénon map, a simple discrete dynamical system that exhibits chaotic behavior

He made valuable contributions to the theory of differential equations, dynamical systems

John Willard Milnor (born February 20, 1931) is an American mathematician known for his work in differential topology, algebraic K-theory and low-dimensional holomorphic dynamical systems.

Heinz Hopf (19 November 1894-3 June 1971) was a German mathematician who worked on the fields of dynamical systems, topology and geometry. == Early life and education == Hopf was born in Gräbschen, German Empire (now Grabiszyn, part of Wrocław, Poland), the son of Elizabeth (née Kirchner) and Wilh

Lyapunov is known for his development of the stability theory of a dynamical system, as well as for his many contributions to mathematical physics and probability theory.

The logistic map is a discrete dynamical system defined by the quadratic difference equation It is a recurrence relation and a polynomial mapping of degree 2.

In mathematics, the Hénon map is a discrete-time dynamical system.

For the values of the parameter μ within 0 and 2, fμ maps the unit interval [0, 1] into itself, thus defining a discrete-time dynamical system on it (equivalently, a recurrence relation).

In chaos theory, the Ikeda map is a discrete-time dynamical system that produces a strange attractor.

These surfaces arise in dynamical systems where they can be used to model billiards, and in Teichmüller theory.

In mathematics, the topological entropy of a topological dynamical system is a nonnegative extended real number that is a measure of the complexity of the system.

Calculus and Analysis Dynamical Systems

Calculus and Analysis Dynamical Systems

is a simple electronic circuit that exhibits classic chaotic behavior. This means roughly that it is a "nonperiodic

interesting behavior on the boundary between stability and chaos. In this respect, it is similar to Conway's Game

the Fermi-Pasta-Ulam problem was the apparent paradox in chaos theory that many complicated enough physical

The Burning Ship fractal, first described and created by Michael Michelitsch

Life (sometimes abbreviated as CGoL) or simply Life, is a cellular automaton devised by the British mathematician John Horton

In mathematics, specifically bifurcation theory, the Feigenbaum constants δ and α are two mathematical

characterization of cellular automata in terms of their symbolic dynamics. It is named after Morton L. Curtis, Gustav A.

an iterated function is a function that is obtained by composing another function with itself two or several times. The process of repeatedly

Vladimir Arnold is a Ukrainian-born mathematician who won a Wolf prize for his work on dynamical systems, differential equations and singularity theory.