how are climax communities exampples of dynamic equilibrium?
411316
Climax communities are the final community of organisms that move into a region through succession.  Since it is the final community, it is stable and has reached equilibrium, no radical changes of the organisms found  in the area will occur.  Exceptions to this are alien species, such as kudzu in the southeastern United States, invading.\n\n"Despite the fact that it is based on disproven assumptions, many authors continue to use the term climax in a diluted form to refer to what might otherwise be called mature or old-growth communities."
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Everyone has a different idea of what a beautiful world would be like.  I can already tell you that if you are striving for world peace, your idea will never work.  If you think world-wide peace is a possibility, then you have a seriously skewed view of reality.\n\nCooperation can and will occur when natural resources are abundant.  When resources are scarce, competition increases and you will see more conflict.\n\nBut, I am an optimist and am curious.  What are some of your ideas?
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Ott, Edward (2002). Chaos in Dynamical Systems. Cambridge University Press New, York. ISBN 0521010845. \nGutzwiller, Martin (1990). Chaos in Classical and Quantum Mechanics. Springer-Verlag New York, LLC. ISBN 0387971734. \nMoon, Francis (1990). Chaotic and Fractal Dynamics. Springer-Verlag New York, LLC. ISBN 0471545716. \nTufillaro, Abbott, Reilly (1992). An experimental approach to nonlinear dynamics and chaos. Addison-Wesley New York. ISBN 0201554410. \nGollub, J. P.; Baker, G. L. (1996). Chaotic dynamics. Cambridge University Press. ISBN 0521476852. \nBaker, G. L. (1996). Chaos, Scattering and Statistical Mechanics. Cambridge University Press. ISBN 0521395119. \nAlligood, K. T. (1997). Chaos: an introduction to dynamical systems. Springer-Verlag New York, LLC. ISBN 0387946772. \nKiel, L. Douglas; Elliott, Euel W. (1997). Chaos Theory in the Social Sciences. Perseus Publishing. ISBN 0472084720. \nStrogatz, Steven (2000). Nonlinear Dynamics and Chaos. Perseus Publishing. ISBN 0738204536. \nSprott, Julien Clinton (2003). Chaos and Time-Series Analysis. Oxford University Press. ISBN 0198508409. \nHoover, William Graham (1999,2001). Time Reversibility, Computer Simulation, and Chaos. World Scientific. ISBN 981-02-4073-2. \n Beauty of Fractals, by H.-O. Peitgen and P.H. Richter \nChance and Chaos, by David Ruelle \nComputers, Pattern, Chaos, and Beauty, by Clifford A. Pickover \nFractals, by Hans Lauwerier \nFractals Everywhere, by Michael Barnsley \nOrder Out of Chaos, by Ilya Prigogine and Isabelle Stengers \nChaos and Life, by Richard J Bird \nDoes God Play Dice?, by Ian Stewart \nThe Science of Fractal Images, by Heinz-Otto Peitgen and Dietmar Saupe, Eds. \nExplaining Chaos, by Peter Smith \nChaos: Making a New Science, New York: Penguin, by James Gleick \nComplexity, by M. Mitchell Waldrop \nChaos, Fractals and Self-organisation, by Arvind Kumar \nChaotic Evolution and Strange Attractors, by David Ruelle \nSync: The emerging science of spontaneous order, by Steven Strogatz \nThe Essence of Chaos, by Edward Lorenz \nDeep Simplicity, by John Gribbin \nThe Road To Chaos, by Yoshisuke Ueda \nThe Chaos Avant-Garde: Memoirs of the Early Days of Chaos Theory, Edited by Ralph H. Abraham and Yoshisuke Ueda
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Well, this was one aspect of my research thesis in Physics of about 10 years ago. The big picture is quite wide, so let's focus on a particular property of classical thermodynamics that is challenged by the chaotic behavior of certain systems: the equipartition of energy.\nClassical thermodynamics tells us that, providing enough time, a system goes to equipartition, i.e. its energy is apportioned in equal parts along all the degrees of freedom. It is well known that the equipartition law has been disproved by quantum mechanics, but until some years ago it was believed a necessary consequence of classical mechanics.\nThe news is that the recent studies (including my little contribution) have shown that there are certain systems for which, under given conditions, neither classical mechanics prescribe the equipartition of energy.\nA class of such systems is constituted by the nonlinear Hamiltonian lattices, that is, N-dimensional spring/mass chains with nonlinear springs. To make it simple, consider that some solid gasses have their atoms stuffed in crystals that can be modeled as such lattices.\nThese systems are classified as chaotic (or also stochastic) for mathematical reasons too complex to be explained here.\nSuppose you freeze Helium at the point that it solidifies. Then you have such a crystal. Its degrees of freedom are the harmonic modes of oscillation of the crystal (just like the harmonic sounds in a guitar string). From the equipartition law one should expect that, after waiting some time, all harmonics go to the same energy. But this is not the case: most energy remains instead concentrated in the lower harmonics. The effect is stronger as the temperature decreases.\nObviously these results are mainly obtained thanks to computer simulations, because the involved equations have no analytic solution.\nSurprisingly, some of these results match with the prediction of quantum mechanics. This is clearly a debated issue but it suggests anyway that the "old-fashioned" classical mechanics has still something to say in modern physics!\n\nLater addition (in relation to the "Additional Details" above): yes, of course I'm speaking of deterministic chaos here, in the mathematical sense (thought it was obvious).
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This may be answerable through an appeal to philosophy.  Assume that all Matter is composed of intelligent organisms.  Each organism experiences inputs and makes decisions in the process of interacting with the Universe around it.  There are three "forces" behind this phenomena:\n\nThe latter force (meaning the second of two presentations):  Each organism must experience inputs one at a time; one of them must occurr after the other as the organism experiences a Choice.\n\nThe later force:  The organism may chose the first of the inputs it experiences; then the other input is delayed by the choice.  The organism may chose the last of the inputs it experiences; then the processing of the other input is delayed by the choice.\n\nThe ladder force:  This is the bit maker force: the organism must forever execute these choices one at a time as it experiences the Universe.\n\nIn physical formula, the process of choice is abstracted away and only timeless probabilities remain; so in a physical sense, time does not exist.  Time is a moral and ethical phenomena, not a physical phenomena.
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Computer models demonstrate that humans are by their nature competitive, but that cooperation provides a distinct competitive advantage in competitive environments.  So we can safely assume that we cooperate only so far as we perceive it to give us a competitive edge.  Society is a construct of information based on these cooperative agreements.  The information that supports cooperative advantage survive on, the ones that don't fade away.
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Becasue the chemical reaction of climax is the same as the reaction of extacy, and as you build to climax the reaction builds.
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This is completely normal. I would explore this to it's fullest potential and add a few more people to the mix as time progresses. Who knows where things could go.
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when it reach the point when everyone is connected
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there's are so many different approach's....\n\ncitebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:nlin/0511015 \n\nhere's one site i'm sure you could link from there....
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Equilibrium occurs when neither of the systems is changing, i.e. when both of the differential equations are equal to 0.\n\nSolve\n\n     x ( 3 - x - y ) = 0\n     y ( 2 - x ) / ( 3 - y ) = 0\n\nFrom the second equation y = 0 or x = 2. Substitute into the first. When y = 0\n\n     x ( 3 - x ) = 0 \n\nwith solutions x = 0 or x = 3.\n\nWhen x = 2\n\n     2 ( 1 - y ) = 0 \n\nwith solution y = 1.\n\nEquilibrium points are (0,0), (3,0) and (2,1).\n\nDid you copy down the wrong equations?
81655
Yes:  theory of computational systems.
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Not likely to find this answer, as that any one can open hundreds of groups individually. Doesn't mean they are active and functioning, but there is an infinite amount of them that can be made.
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Ecosystem-balance!!!!!!
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http://en.wikipedia.org/wiki/Chaos_theory
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I hope this will help. \nFor dynamics see reference 2
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An interesting paper on the subject:\nhttp://www3.interscience.wiley.com/cgi-bin/abstract/108064559/ABSTRACT?CRETRY=1&SRETRY=0