Faster access than browser!
33 relations: Action-angle coordinates, American Mathematical Society, Cambridge University Press, Canonical quantum gravity, Chaos theory, Constant of motion, Divergence theorem, Dynamical billiards, Dynamical system, Dynamical systems theory, Electromagnetic field, Electron, Generalized coordinates, George Zaslavsky, Hamiltonian mechanics, Harmonic oscillator, Henri Poincaré, Identity matrix, Imperial College Press, Initial value problem, Integrable system, Kolmogorov–Arnold–Moser theorem, Liouville's theorem (Hamiltonian), N-body problem, Pendulum, Physical system, Physics, Planetary system, Springer Science+Business Media, Symplectic geometry, Time evolution, William Rowan Hamilton, World Scientific.
Action-angle coordinates
In classical mechanics, action-angle coordinates are a set of canonical coordinates useful in solving many integrable systems.
New!!: Hamiltonian system and Action-angle coordinates · See more »
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
New!!: Hamiltonian system and American Mathematical Society · See more »
Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
New!!: Hamiltonian system and Cambridge University Press · See more »
Canonical quantum gravity
In physics, canonical quantum gravity is an attempt to quantize the canonical formulation of general relativity (or canonical gravity).
New!!: Hamiltonian system and Canonical quantum gravity · See more »
Chaos theory
Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions.
New!!: Hamiltonian system and Chaos theory · See more »
Constant of motion
In mechanics, a constant of motion is a quantity that is conserved throughout the motion, imposing in effect a constraint on the motion.
New!!: Hamiltonian system and Constant of motion · See more »
Divergence theorem
In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, reprinted in is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the vector field inside the surface.
New!!: Hamiltonian system and Divergence theorem · See more »
Dynamical billiards
A billiard is a dynamical system in which a particle alternates between motion in a straight line and specular reflections from a boundary.
New!!: Hamiltonian system and Dynamical billiards · See more »
Dynamical system
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space.
New!!: Hamiltonian system and Dynamical system · See more »
Dynamical systems theory
Dynamical systems theory is an area of mathematics used to describe the behavior of the complex dynamical systems, usually by employing differential equations or difference equations.
New!!: Hamiltonian system and Dynamical systems theory · See more »
Electromagnetic field
An electromagnetic field (also EMF or EM field) is a physical field produced by electrically charged objects.
New!!: Hamiltonian system and Electromagnetic field · See more »
Electron
The electron is a subatomic particle, symbol or, whose electric charge is negative one elementary charge.
New!!: Hamiltonian system and Electron · See more »
Generalized coordinates
In analytical mechanics, specifically the study of the rigid body dynamics of multibody systems, the term generalized coordinates refers to the parameters that describe the configuration of the system relative to some reference configuration.
New!!: Hamiltonian system and Generalized coordinates · See more »
George Zaslavsky
George M. Zaslavsky (Cyrillic: Георгий Моисеевич Заславский) (31 May 1935 – 25 November 2008) was a Soviet mathematical physicist and one of the founders of the physics of dynamical chaos.
New!!: Hamiltonian system and George Zaslavsky · See more »
Hamiltonian mechanics
Hamiltonian mechanics is a theory developed as a reformulation of classical mechanics and predicts the same outcomes as non-Hamiltonian classical mechanics.
New!!: Hamiltonian system and Hamiltonian mechanics · See more »
Harmonic oscillator
In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force, F, proportional to the displacement, x: where k is a positive constant.
New!!: Hamiltonian system and Harmonic oscillator · See more »
Henri Poincaré
Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.
New!!: Hamiltonian system and Henri Poincaré · See more »
Identity matrix
In linear algebra, the identity matrix, or sometimes ambiguously called a unit matrix, of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere.
New!!: Hamiltonian system and Identity matrix · See more »
Imperial College Press
Imperial College Press (ICP) was formed in 1995 as a partnership between Imperial College of Science, Technology and Medicine in London and World Scientific publishing.
New!!: Hamiltonian system and Imperial College Press · See more »
Initial value problem
In mathematics, the field of differential equations, an initial value problem (also called the Cauchy problem by some authors) is an ordinary differential equation together with a specified value, called the initial condition, of the unknown function at a given point in the domain of the solution.
New!!: Hamiltonian system and Initial value problem · See more »
Integrable system
In the context of differential equations to integrate an equation means to solve it from initial conditions.
New!!: Hamiltonian system and Integrable system · 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.
New!!: Hamiltonian system and Kolmogorov–Arnold–Moser theorem · See more »
Liouville's theorem (Hamiltonian)
In physics, Liouville's theorem, named after the French mathematician Joseph Liouville, is a key theorem in classical statistical and Hamiltonian mechanics.
New!!: Hamiltonian system and Liouville's theorem (Hamiltonian) · See more »
N-body problem
In physics, the -body problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally.
New!!: Hamiltonian system and N-body problem · See more »
Pendulum
A pendulum is a weight suspended from a pivot so that it can swing freely.
New!!: Hamiltonian system and Pendulum · See more »
Physical system
In physics, a physical system is a portion of the physical universe chosen for analysis.
New!!: Hamiltonian system and Physical system · 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.
New!!: Hamiltonian system and Physics · See more »
Planetary system
A planetary system is a set of gravitationally bound non-stellar objects in or out of orbit around a star or star system.
New!!: Hamiltonian system and Planetary system · See more »
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
New!!: Hamiltonian system and Springer Science+Business Media · See more »
Symplectic geometry
Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form.
New!!: Hamiltonian system and Symplectic geometry · See more »
Time evolution
Time evolution is the change of state brought about by the passage of time, applicable to systems with internal state (also called stateful systems).
New!!: Hamiltonian system and Time evolution · See more »
William Rowan Hamilton
Sir William Rowan Hamilton MRIA (4 August 1805 – 2 September 1865) was an Irish mathematician who made important contributions to classical mechanics, optics, and algebra.
New!!: Hamiltonian system and William Rowan Hamilton · See more »
World Scientific
World Scientific Publishing is an academic publisher of scientific, technical, and medical books and journals headquartered in Singapore.
New!!: Hamiltonian system and World Scientific · See more »
Redirects here:
References
[1] https://en.wikipedia.org/wiki/Hamiltonian_system
