I want to do a phd on dynamical systems, which topic within this is the easiest?
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If you want to get a PhD in math or a related field, there is no *easy*. In fact, with the attitude of going for the easiest thing, I can almost assure you that you won't get a PhD in dynamical systems. Original research is mainly done by those who are curious and willing to work hard to figure out how things work. In particular, dynamical systems are being actively investigated by many very bright people. Any 'easy' result is very likely to be known and hence not usuable for a PhD.
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As for math, I'd recommend mathworld.  I don't know about other specifically.  It is not the most readable, but it's a good enough resource for graduate students.
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Try Google groups. Particularly sci.math. \n\nIf you can afford it you can try Kasamba.
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none.\n\nA Ph. D. is a brutal accomplishment.
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http://www.dcs.bbk.ac.uk/~niki/lecture7.ppt\n\nhttp://www.cs.wpi.edu/~gpollice/cs4233-a05/CourseNotes/pdf/CS4233%20Class%204.pdf
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Depends of what you are looking for, "field theory" is a big topic.\n\nFor classical field theory I would recomend:\nClassical Field Theory by Francis E. Low\n\nFor Quantum Field Theory I know people have found these useful:\nIntroduction to Quatum Field Theory by Peskin\nQuantum Field Theory by Brown\nQuantum Field Theory in a Nutshell by Zee
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Try those...\n\nhttp://www.eng.abdn.ac.uk/~eng624/paper2004b.pdf#search='Dynamic%20Characteristics%20of%20a%20Jeffcott%20Rotor'\n\nhttp://www.dyrobes.com/Chapter3_Excerpt.pdf#search='Dynamic%20Characteristics%20of%20a%20Jeffcott%20Rotor'\n\nhttp://www-personal.engin.umich.edu/~shihang/p32.pdf#search='Dynamic%20Characteristics%20of%20a%20Jeffcott%20Rotor'
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I'm a big fan of Transport Phenomena by Bird, Stewart, and Lightfoot.  It wasn't required by my professor, but I bought it and used it extensively to help me understand the material.
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The abstract study of dynamics is a world of mathematical\n   option coming of age.  Four come to mind that are interesting.\n   Chemistry the true relative quantum isotopic atomic servers.\n    Deregulation of the pollutants, actions never precedent.\n    Solid fuel for lite weight energy force distributions noncarbon.\n    Dynamics within resolutions response times unlimited space.\n    Any mentions of resolving an invention folder makes the act\n    of mathematics the candidate to be accurate in a blank palate.\n    Example one.  In the distress of giga junctions of raw create\n    the number of losses is proportional to the movements of the\n    disproportional active molecular redemanded.  1 equals 3\n    in hiv, rmz, other infections so why do the remaining have no\n    complements to adhere the tribute effectives. Showing that\n    they are the product dialing cross generic and solvency sweep\n    shoring 3.1 equals circumference times 1.2 the infective active\n    from non-directive suspended atomic molecular core solution.\n    Where 1.5 plus 2.5 are record all repairs or dominant genes\n     losing generic and upper gradients in moving within atomic \n     fields at 3.5 or 7.5 limits of pie.  To find data in this study is\n     open and immediate in pro-evolving positrons.
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http://www.isds.duke.edu/courses/Spring00/sta110a/pracexam1sta110s00.html
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PhD is a Doctorate of Philosophy (D of Ph).\nHow long depends on the field, where you begin, and how smart you are.\nMy father has a PhD in Nuclear Physics.  He got his Masters in 1 year, and the Doctorate in 2.  Most people take 2 years for a Masters, and 3 for a Doctorate.
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http://www.rothamsted.ac.uk/notebook/courses/\nTry this site , best wishes
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PHP is good if you only want DYNAMICS, but when you are talking of Business Logics and Web based Applications then you must opt for ASP.NET or JSP/Servlets
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I would suggest you this subject: 'Why are most plants green?' It seems very interesting and challenging.
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statics & dynamics, \nstrength of materials, \nsolid mechanics, \ninstrumentation and measurement, \nthermodynamics, heat transfer, energy conversion, and refrigeration / air conditioning, \nfluid mechanics and dynamics, \nmechanism design (including kinematics and dynamics), \nmanufacturing technology or processes, \nengineering design, \nmechatronics and/or control theory, \ndrafting or CAD/CAM
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A motivating introduction:\n\nEdwin F. Taylor - Principle of Least Action\nhttp://www.eftaylor.com/leastaction.html\n\n\nThe details:\n\nWikipedia  - Lagrangian mechanics\nhttp://en.wikipedia.org/wiki/Lagrangian_mechanics
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For recent physics and maths preprints, try here\n\nhttp://lanl.arxiv.org/\n\nor one of it's mirror sites