Teoriang chaos

Metung a grafica o diagrama ning Lorenz attractor para kareng alagang r = 28, σ = 10, b = 8/3

Para keng aliwang gamit, lawen ye ing Chaos Theory (disambiguation).

Ing Teoriang chaos o Chaos theory metung yang sanga ning matematica a manigaral king pangimut da reng mapilang dynamical system a mapaliaring misnang sensitivo kareng kabilian king umpisa o initial conditions. Ining panga-sensitivo mipalaguan butterfly effect. Uli na niting panga-sensitivo, a lalto antimong daragul nang daragul a pamandagul ning pamagkamali (exponential growth of error), lalto yang balamu random (alang kapakayan o direccion) ing pangimut ning sistema. Ing buri nang sabian niti, deng mangalating pamialiwa king umpisa, magdala yang misnang dagul a pamialiwa panga-wakas, agiang king makuyad mung kapanaunan. Balamu random ing pangimut ning sistema, agiang deterministic ya iti, at ganap lang bunga o madi-determina da reng kabilian da potang purmeru deng maliliari keng paintungulan, a alang bitasang elementung random a maki papil. Ining pangimut, ausan dang deterministic chaos, o king makuyad a salita, chaos.

Maliari ya muring akit ing pangimut a chaotic o chaotic behavior kareng sistemang natural, alimbawa king panaun (weather). Maliari yang isplica iti king metung a pamaglarawan o analysis ning chaotic mathematical model a pekakatawan ning makanian a sistema. Sisiasatan ning quantum chaos ing kaugnayan ning chaos ampong .

Lon la murin

Examples of chaotic systems Arnold's cat map Bouncing Ball Simulation System Chua's circuit Double pendulum Dynamical billiards Economic bubble Hénon map Horseshoe map Logistic map Rössler attractor Standard map Swinging Atwood's machine Tilt A Whirl

Other related topics Quantum chaos Anosov diffeomorphism Bifurcation theory Butterfly effect Chaos theory in organizational development Complexity Control of chaos Edge of chaos Fractal Mandelbrot set Julia set Predictability Santa Fe Institute Synchronization of chaos

People Mitchell Feigenbaum Martin Gutzwiller Michael Berry Brosl Hasslacher Michel Hénon Edward Lorenz Aleksandr Lyapunov Benoît Mandelbrot Henri Poincaré Otto Rössler David Ruelle Oleksandr Mikolaiovich Sharkovsky Floris Takens James A. Yorke

Systems science Portal Mathematics Portal

Kasulatang cientifico

Articulo

• A.N. Sharkovskii, "Co-existence of cycles of a continuous mapping of the line into itself", Ukrainian Math. J., 16:61–71 (1964)
• Li, T. Y. and Yorke, J. A. "Period Three Implies Chaos." American Mathematical Monthly 82, 985–92, 1975.
• Kolyada, S. F. "Li-Yorke sensitivity and other concepts of chaos", Ukrainian Math. J. 56 (2004), 1242–1257.

Libru king escuela (textbooks)

• Alligood, K. T. (1997). Chaos: an introduction to dynamical systems. Springer-Verlag New York, LLC. ISBN 0-387-94677-2. 
• Baker, G. L. (1996). Chaos, Scattering and Statistical Mechanics. Cambridge University Press. ISBN 0-521-39511-9. 
• Badii, R.; Politi A. (1997). "Complexity: hierarchical structures and scaling in physics". Cambridge University Press. ISBN 0521663857. 
• Devaney, Robert L. (2003). An Introduction to Chaotic Dynamical Systems, 2nd ed,. Westview Press. ISBN 0-8133-4085-3. 
• Gollub, J. P.; Baker, G. L. (1996). Chaotic dynamics. Cambridge University Press. ISBN 0-521-47685-2. 
• Gutzwiller, Martin (1990). Chaos in Classical and Quantum Mechanics. Springer-Verlag New York, LLC. ISBN 0-387-97173-4. 
• Hoover, William Graham (1999,2001). Time Reversibility, Computer Simulation, and Chaos. World Scientific. ISBN 981-02-4073-2. 
• Kiel, L. Douglas; Elliott, Euel W. (1997). Chaos Theory in the Social Sciences. Perseus Publishing. ISBN 0-472-08472-0. 
• Moon, Francis (1990). Chaotic and Fractal Dynamics. Springer-Verlag New York, LLC. ISBN 0-471-54571-6. 
• Ott, Edward (2002). Chaos in Dynamical Systems. Cambridge University Press New, York. ISBN 0-521-01084-5. 
• Strogatz, Steven (2000). Nonlinear Dynamics and Chaos. Perseus Publishing. ISBN 0-7382-0453-6. 
• Sprott, Julien Clinton (2003). Chaos and Time-Series Analysis. Oxford University Press. ISBN 0-19-850840-9. 
• Tél, Tamás; Gruiz, Márton (2006). Chaotic dynamics: An introduction based on classical mechanics. Cambridge University Press. ISBN 0-521-83912-2. 
• Tufillaro, Abbott, Reilly (1992). An experimental approach to nonlinear dynamics and chaos. Addison-Wesley New York. ISBN 0-201-55441-0. 
• Zaslavsky, George M. (2005). Hamiltonian Chaos and Fractional Dynamics. Oxford University Press. ISBN 0-198-52604-0. 

Obrang semitechnical ampong popular

• Ralph H. Abraham and Yoshisuke Ueda (Ed.), The Chaos Avant-Garde: Memoirs of the Early Days of Chaos Theory, World Scientific Publishing Company, 2001, 232 pp.
• Michael Barnsley, Fractals Everywhere, Academic Press 1988, 394 pp.
• Richard J Bird, Chaos and Life: Complexity and Order in Evolution and Thought, Columbia University Press 2003, 352 pp.
• John Briggs and David Peat, Turbulent Mirror: : An Illustrated Guide to Chaos Theory and the Science of Wholeness, Harper Perennial 1990, 224 pp.
• John Briggs and David Peat, Seven Life Lessons of Chaos: Spiritual Wisdom from the Science of Change, Harper Perennial 2000, 224 pp.
• Lawrence A. Cunningham, From Random Walks to Chaotic Crashes: The Linear Genealogy of the Efficient Capital Market Hypothesis, George Washington Law Review, Vol. 62, 1994, 546 pp.
• Leon Glass and Michael C. Mackey, From Clocks to Chaos: The Rhythms of Life, Princeton University Press 1988, 272 pp.
• James Gleick, Chaos: Making a New Science, New York: Penguin, 1988. 368 pp.
• John Gribbin, Deep Simplicity,
• L Douglas Kiel, Euel W Elliott (ed.), Chaos Theory in the Social Sciences: Foundations and Applications, University of Michigan Press, 1997, 360 pp.
• Arvind Kumar, Chaos, Fractals and Self-Organisation; New Perspectives on Complexity in Nature , National Book Trust, 2003.
• Hans Lauwerier, Fractals, Princeton University Press, 1991.
• Edward Lorenz, The Essence of Chaos, University of Washington Press, 1996.
• Chapter 5 of Alan Marshall (2002) The Unity of nature, Imperial College Press: London
• Heinz-Otto Peitgen and Dietmar Saupe (Eds.), The Science of Fractal Images, Springer 1988, 312 pp.
• Clifford A. Pickover, Computers, Pattern, Chaos, and Beauty: Graphics from an Unseen World , St Martins Pr 1991.
• Ilya Prigogine and Isabelle Stengers, Order Out of Chaos, Bantam 1984.
• Heinz-Otto Peitgen and P. H. Richter, The Beauty of Fractals : Images of Complex Dynamical Systems, Springer 1986, 211 pp.
• David Ruelle, Chance and Chaos, Princeton University Press 1993.
• Ivars Peterson, Newton's Clock: Chaos in the Solar System, Freeman, 1993.
• David Ruelle, Chaotic Evolution and Strange Attractors, Cambridge University Press, 1989.
• Peter Smith, Explaining Chaos, Cambridge University Press, 1998.
• Ian Stewart, Does God Play Dice?: The Mathematics of Chaos , Blackwell Publishers, 1990.
• Steven Strogatz, Sync: The emerging science of spontaneous order, Hyperion, 2003.
• Yoshisuke Ueda, The Road To Chaos, Aerial Pr, 1993.
• M. Mitchell Waldrop, Complexity : The Emerging Science at the Edge of Order and Chaos, Simon & Schuster, 1992.

Suglung palual

Ing Wikimedia Commons atin yang mediang maki kaugnayan kang/king:

Chaos theory

• Nonlinear Dynamics Research Group Archived Marsu 10, 2016 at the Wayback Machine with Animations in Flash
• The Chaos group at the University of Maryland
• The Chaos Hypertextbook. An introductory primer on chaos and fractals.
• Society for Chaos Theory in Psychology & Life Sciences
• Interactive live chaotic pendulum experiment Archived Disyembri 27, 2005 at the Wayback Machine, allows users to interact and sample data from a real working damped driven chaotic pendulum
• Nonlinear dynamics: how science comprehends chaos, talk presented by Sunny Auyang, 1998.
• Nonlinear Dynamics. Models of bifurcation and chaos by Elmer G. Wiens
• Gleick's Chaos (excerpt) Archived Pebreru 2, 2007 at the Wayback Machine
• Systems Analysis, Modelling and Prediction Group Archived Abril 30, 2012 at the Wayback Machine at the University of Oxford.
• A page about the Mackey-Glass equation Archived Marsu 7, 2009 at the Wayback Machine.