Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Install
Faster access than browser!
 

Chaos theory and N-body problem

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Chaos theory and N-body problem

Chaos theory vs. N-body problem

Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions. In physics, the -body problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally.

Similarities between Chaos theory and N-body problem

Chaos theory and N-body problem have 10 things in common (in Unionpedia): Celestial mechanics, Determinism, Differential equation, Henri Poincaré, Initial condition, Kolmogorov–Arnold–Moser theorem, Physics, Scale invariance, Three-body problem, Topology.

Celestial mechanics

Celestial mechanics is the branch of astronomy that deals with the motions of celestial objects.

Celestial mechanics and Chaos theory · Celestial mechanics and N-body problem · See more »

Determinism

Determinism is the philosophical theory that all events, including moral choices, are completely determined by previously existing causes.

Chaos theory and Determinism · Determinism and N-body problem · See more »

Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

Chaos theory and Differential equation · Differential equation and N-body problem · See more »

Henri Poincaré

Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.

Chaos theory and Henri Poincaré · Henri Poincaré and N-body problem · See more »

Initial condition

In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t.

Chaos theory and Initial condition · Initial condition and N-body problem · See more »

Kolmogorov–Arnold–Moser theorem

The Kolmogorov–Arnold–Moser theorem (KAM theorem) is a result in dynamical systems about the persistence of quasiperiodic motions under small perturbations.

Chaos theory and Kolmogorov–Arnold–Moser theorem · Kolmogorov–Arnold–Moser theorem and N-body problem · See more »

Physics

Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.

Chaos theory and Physics · N-body problem and Physics · See more »

Scale invariance

In physics, mathematics, statistics, and economics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor, thus represent a universality.

Chaos theory and Scale invariance · N-body problem and Scale invariance · See more »

Three-body problem

In physics and classical mechanics, the three-body problem is the problem of taking an initial set of data that specifies the positions, masses, and velocities of three bodies for some particular point in time and then determining the motions of the three bodies, in accordance with Newton's laws of motion and of universal gravitation, which are the laws of classical mechanics.

Chaos theory and Three-body problem · N-body problem and Three-body problem · See more »

Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

Chaos theory and Topology · N-body problem and Topology · See more »

The list above answers the following questions

Chaos theory and N-body problem Comparison

Chaos theory has 262 relations, while N-body problem has 140. As they have in common 10, the Jaccard index is 2.49% = 10 / (262 + 140).

References

This article shows the relationship between Chaos theory and N-body problem. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »